Let y = 5e5z
A. Find the differential dy
25e53
dy
B. Use part A. to find dy when x = - 3 and dir = 0.4.
Round your answer to 2 decimal(s).
dy =
Submit Question
Answers
Answer:
[tex]\displaystyle dy = 25e^{5x}dx\\dy = 3.27 \cdot 10^7[/tex]
General Formulas and Concepts:
Math
RoundingEuler's Number e - 2.71828Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Differentials
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹eˣ Derivative: [tex]\displaystyle \frac{dy}{dx}[e^u] = u'e^u[/tex]
Step-by-step explanation:
Part A
Step 1: Define
[tex]\displaystyle y = 5e^{5x}[/tex]
Step 2: Differentiate
[Function] eˣ Derivative: [tex]\displaystyle \frac{dy}{dx} = \frac{dy}{dx}[5x] \cdot 5e^{5x}[/tex][Derivative] Basic Power Rule: [tex]\displaystyle \frac{dy}{dx} = 5x^{1 - 1} \cdot 5e^{5x}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{dy}{dx} = 5 \cdot 5e^{5x}[/tex][Derivative] Multiply: [tex]\displaystyle \frac{dy}{dx} = 25e^{5x}[/tex][Derivative] [Multiplication Property of Equality] Isolate dy: [tex]\displaystyle dy = 25e^{5x}dx[/tex]Part B
Step 1: Define
[Differential] [tex]\displaystyle dy = 25e^{5x}dx[/tex]
[Given] x = 3, dx = 0.4
Step 2: Evaluate
Substitute in variables [Differential]: [tex]\displaystyle dy = 25e^{5(3)}(0.4)[/tex][Differential] [Exponents] Multiply: [tex]\displaystyle dy = 25e^{15}(0.4)[/tex][Differential] Evaluate exponents: [tex]\displaystyle dy = 25(3.26902 \cdot 10^6)(0.4)[/tex][Differential] Multiply: [tex]\displaystyle dy = (8.17254 \cdot 10^7)(0.4)[/tex][Differential] Multiply: [tex]\displaystyle dy = 3.26902 \cdot 10^7[/tex][Differential] Round: [tex]\displaystyle dy = 3.27 \cdot 10^7[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differentials
Book: College Calculus 10e
Related Questions
Which comparison is correct?
151 >>7
07<171
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0-5<-4
Answers
Answer:
151>7 is correct
Step-by-step explanation:
What is 56x92.2÷34x56
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Step-by-step explanation:
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Answer:
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What does it mean to be a Rigid Motion?
Name 3 Rigid Motions that we discussed in Semester A:
Answers
Answer:
A Rigid Motion is a transformation that preserves length (distance preserving) and angle measure (angle preserving). Another name for a rigid motion is an isometry. A direct isometry preserves distance and orientation. Translations and Rotations are direct isometries.
Step-by-step explanation:
Help
Don’t use for points or I’ll take it back
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Answer:
68 degrees
Step-by-step explanation:
2 complementary angles make up a 90 degree angle.
90 degrees - 22 degrees = 68 degrees
When creating a playlist for spotify, Jorge likes to maintain a ratio of 7 hip hop songs : 2 pop songs : 1 slow song. Suppose Jorge wants to put 28 hip hop songs on the playlist. How many total songs will be on the playlist? Use any method to solve.
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Hope that that helped
Seventy-five percent of the apples pies were sold today. If 12 apples pie were sold, then how many pies were made today?
Answers
Answer:
16 pies
Three-Quarters of 16 is 12, and if you sell 12, then you have a quarter which is 4, which ends up being every quarter which equaled 4
Ms. Kumar has a checking account at the bank. If the account balance ever
falls below zero, the bank charges her a fee of $5.95 per day. Today, the
balance in Ms. Kumar's account is -$2.67. If she does not make any deposits
or withdrawals, what will be the balance in her account after 2 days?
Answers
Answer:
Step-by-step explanation:
-2.67-3(5.95)= -$20.52
Really need the answers
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Answer:
Of what???? what question?
notacion cientifica 123000000
Answers
Answer:
puro puto✌✌✌✌
Answer:
1.23× 10 ^8
Step-by-step explanation:
mark brainliest
HELLPPP PLSSS!! i need help help help
Answers
Answer:25.50
Step-by-step explanation:
Because .50 is in the hundreths, and it rounds up to that because it is above 5.
4/5 decreased by 3/5%
Answers
Answer:
Step-by-step explanation:
words algebraic symbols reason
two decreased by a number 2 - x start with 2, make it smaller
a number decreased by two x - 2 start with a number, make it smaller
two less than a number x - 2 start with a number, make it smaller
four more than a number x + 4 or 4 + x start with a number, add 4
the difference between 6 and a number 6 - x subtract, starting with 6
subtract four from a number x - 4 starting with a number, subtract 4
the sum of 4 and a number x + 4 or 4 + x add to get a sum
the opposite of the sum of a number and three -(x+3) or -(3+x) take sum, take opposite of sum
It may be convenient for the reader to use the technique the author used in writing the reason column.
Think of the word expression as a task to be completed by a computation.
Determine the operations needed.
Think how one would start and, then
think of what would need to be done to complete the task described.
Notice the uses of the preposition "of" in the last example. Prepositional phrases break up the expressions into pieces. Those beginning with "of" are discussed on the last page.
Below, notice how the prepositional phrases, in blue, which begin with by, between, from, and than, make it easier to examine the phrase and determine where to start and what to do.
words algebraic symbols reason
two decreased by a number 2 - x start with 2, make it smaller
a number decreased by two x - 2 start with a number, make it smaller
two less than a number x - 2 start with a number, make it smaller
four more than a number x + 4 or 4 + x start with a number, add 4
the difference between 6 and a number 6 - x subtract, starting with 6
subtract four from a number x - 4 starting with a number, subtract 4
the sum of 4 and a number x + 4 or 4 + x add to get a sum
the opposite of the sum of a number and three -(x+3) or -(3+x) take sum, take opposite of sum
Additional information is found in a prepositional phrases. The preposition "from" is almost always a tip-off that subtraction is required. Often, the desired mathematical expression starts with what is in the "from" prepositional phrase.
Multiplication & Division
Here are words associated with multiplication or division. The context is the key to the symbols needed, not the word itself. Remember, the word AND is a signal that there are two or more ideas, not that addition is required. Remember, to use prepositional and other phrases to break up the expression in order to determine what is required. Examples follow the list.
divide
quotient
halve, half
third
product
double
triple
square
words algebraic symbols reason
the product of two and a number 2x or 2(x) multiply
a third of the sum of a number and two (x + 2)/3 start with the sum, take a third of it
double the difference between 6 and a number 2(6-x) start with the difference, multiply by 2
triple the sum of four, five, and a number 3(4 + 5 + x) start with the sum, multiply by 3
the value of 4 nickels 4(5) or 5+5+5+5, etc. four fives or five four times
the value of some nickels 5x multiply 5 times a number
The last example may be HARD. Use the table below to examine the reason more clearly. The value of x nickels is 5x. The value of some nickels is 5x.
number of nickels value of nickels
1 5(1) = 5
2 5(2) = 10
3 5(3) = 15
4 5(4) = 20
x 5(x) = 5x
Exercises
I. Write the expression/equation then check the answer.
Note: Your browser may print the answers with spaces that are not ment to be there.
1.) the square of five
Answers
5²
2.) the square of five subtracted from a number
Answers
x - 5²
3.) the opposite of a number
Answers
-x
4.) six less than half of a number
Answers
x/2 - 6 or .5x - 6
5.) the product of a number and four
Answers
4(x) or 4x or (4)(x)
6.) a number decreased by five
Answers
x - 5
7.) five less than a number
Answers
x - 5
8.) Ten is five less than a number.
Answers
10 = x - 5
9.) A number is less than five.
Answers
x < 5
See additional info on these.
10.) one less than a number
Answers
x - 1
11.) one less than a double a number
Answers
2x - 1
12.) the opposite of the sum of a number and 12
Answers
-(x + 12)
13.) triple a number
Answers
3x
14.) twice the sum of a number and 1
Answers
2(x + 1)
III. Complete the table. Check each answer.
words algebraic symbols
1.
Answers
one less than a number
x - 1
2. the sum of six and double a number
Answers
6 + 2x or 2x + 6
3. double the sum of six and a number
Answers
2(x + 6)
4. the sum of three consecutive integers
Answers
first + second + third
(x) + (x + 1) + (x + 2)
5. the product of 2 consecutive odd integers
Answers
(first)(second)
(x)(x + 2)
IV. Complete the table. Check each answer.
words algebraic symbols
1. one more than a number
Answers
x + 1 or 1 + x
2.
Answers
one less than a number or a number decreased by one
x - 1
3. the product of a number and 3 and a different number
Answers
3xy
4.
Answers
double a number or the product of a number and two
2x
5.
Answers
the square of a number or a number multiplied by itself
x2
Steve purchases 25 gallons of orange juice to set out for runners at a race. How many cups of orange juice did Steve purchase?
Answers
Answer:
400 cups of orange juice
Step-by-step explanation: there's 16 cups in a gallon so 16 times 25 is 400
In a survey of 1000 voters, 680 said they would vote for the same candidate again. What percent of the voters WOULD NOT vote for the same candidate again?
Answers
Answer:32%
Step-by-step explanation:1000- 680=320
100-68=32
32%
Negative nine is greater than the sum of fifteen and two times a number.
Answers
Answer:
-9>2x+15
Step-by-step explanation:
That’s the equation thingy
What your first do is the inverse operation and subtract 15 and then you have -24>2x
Divide -24 by 2 and -12 is your answer
we need a rock garden work a perimeter of 18ft area 18ft what is the length and width
Answers
Answer:
P = perimeter
A = area
l = lenght
w = width
P = 2 x l + 2 x w
A = l x w
18 ft = 2 x l + 2 x w
18 ft² = l x w
Input l = 6 ft w = 3 ft
18 ft = 12 ft + 6 ft = 18 ft
18 ft² = 6 ft x 3 ft = 18 ft²
Answer:
l = 6 ft
w = 3 ft
Step-by-step explanation:
let the length be l and breadth be b.
perimeter = 2(l +b)
18 = 2(l+ b)
9 = l+ b
b = 9-l .... eq - 1
area = l× b
18 =l ( 9-l)
18 = 9l - l²
l²- 9l + 18 = 0
l ² -3l - 6l +18 = 0
l (l -3) -6 ( l -3) = 0
(l - 6 ) ( l-3) = 0
length (l). = 6 or 3 ft
then breadth = 9-l = 9-3 or 9-6
= 6 or 3 ft
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you ☺️.
Yasmin took a survey of her classmates to determine the frequencies of different eye colors
Answers
-Blue has 7 people
-Brown has 15 people
-Green has 4 people
-Hazel has 3 people
When all added up 29 classmates.
A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census of all 75,342 households in the city that the median family income is $65,000, with an average of 2.9 persons-per-household, and 88% live in a single household unit. Previously, the planner had surveyed a group of 400 randomly selected households in the city. The surveyed households had a median family income of $52,000, an average of 3.2 persons per household, and 80% lived in a single household unit. 2
(a) For city planner's survey, identify the population and the sample,
Population: (Choose one)
Sample: (Choose one)
(b) Choose whether each number described below is a parameter or a statistic for the city planner's survey,
Number Parameter Statistic
The 80% of the group of randomly selected households that live in a single household unit
The average of 2.9 personer household of all the households in the city The $65,000 median family income of all the households in the city At a TV assembling facility, the Quality Assurance (QA) department tested a random selection of 600 TV's assembled in March.
Answers
Answer:
Population = 75,342 households
Sample = 400 randomly selected households
The percentage who live in a single household unit = Parameter
The average of 2.9 person per household of all households in the city = parameter
The $65,000 median family income of all the households in the city = Parameter
Step-by-step explanation:
The population refers to all the entire elements, observations or subject which fits into a particular study. In the scenario above, the entire household in the city of study. That is, the 75,342 households.
The sample is the subset of the population which is a smaller set of observation meant to be representative of the larger population. The sample here is the 400 randomly selected households.
Parameter differs from statistics in that numerical estimates or calculations obtained from the population is called the parameter while the numerical characteristics derived from the sample is called statistic.
In this exercise we have to use the knowledge of probability to calculate the chances of choosing a TV approved by the quality control, so:
400 randomly selected households
So, based on the information given in the statement, we have:
Population = 75,342 householdsSample = 400 randomly selected householdsSome parameters for this equation are:
The percentage who live in a single household unit The average of 2.9 person per household of all households in the cityThe $65,000 median family income of all the households in the cityThe inhabitants of a place refers to all the complete essential feature, attention or subject that fits into the study. In the sequence of events above, the complete household fashionable the city of study. That is, the 75,342 households.
The sample exist the subset of the inhabitants of a place that exist a tinier set of comment on something scrutinized intend expected representative of the best inhabitants of a place. The sample in this place happen the 400 carelessly picked households.
See more about statistics at brainly.com/question/10951564
What is the area of the composite figure?
Answers
Answer:
208
Step-by-step explanation:
16x13
Types of operating system
Answers
Answer:
unary and binary
Step-by-step explanation:
Unary operations involve only one value, such as negation and trigonometric functions. Binary operations, on the other hand, take two values, and include addition, subtraction, multiplication, division, and exponentiation.
Answer:
multiprocessing operating system
batch operating system
realtime operating system
multi tasking operating system
mobile operating system
network operating system
Evaluate −nz−z2−2z when n=3. Simplify your answer.
Answers
Answer: n=
−z2−5
z
Step-by-step explanation:
Let's solve for n.
(−n)(z)−z2−2=3
Step 1: Add z^2 to both sides.
−nz−z2−2+z2=3+z2
−nz−2=z2+3
Step 2: Add 2 to both sides.
−nz−2+2=z2+3+2
−nz=z2+5
Step 3: Divide both sides by -z.
−nz
−z
=
z2+5
−z
Answer:
-z^2-5z
Step-by-step explanation:
To evaluate a polynomial at a given value, we substitute the given value for the variable and then simplify using order of operations. We are given n=3, so we substitute 3 for n in the polynomial −nz−z2−2z and simplify as follows.
−nz−z2−2z
−(3)z−z2−2z
−3z−z2−2z
−z2−5z
help me fast quick plz I need an answer
Answers
Answer:
this is tricky
Step-by-step explanation:
Hope this helps!
XYZ has vertices X(3. -4), Y(6, 5), and Z(8, -2).find the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4
Answers
So they would become:
X(12,-16), Y(24,20), and Z(32,-8)
The coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Given that, XYZ has vertices X(3, -4), Y(6, 5), and Z(8, -2).
Scale factor = 4
Here, X(3, -4)→4(3, -4)→X'(12, -16)
Y(6, 5)→4(6, 5)→Y'(24, 20)
Z(8, -2)→4(8, -2)→Z'(32, -8)
Therefore, the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
#SPJ2
You want to produce a scale drawing of your living room. Which is 24 ft by 27 ft. If you Use a scale of 2 inches.= 3ft what will be the dimensions of your scale drawing ?
A) 16in. By 18in.
B) 6in. By 18in
C) 6in. By 72 in
D) 16 in by 72 in
Answers
Step-by-step explanation:
mujhe nahin pata the following week and I will be a good time to time and money to pay for the first time in the following week and I will be a good time to time and money to pay for the first time in a while back and let me know if it was a great time in the pot with a new one and only a few of my favorite part in the blanks to the right now I am going to be able I am going out with you
Answer:
Step-by-step explanation:
A
Bart uses 3/12 cup milk to make muffins. Write a fraction that is equivalent to 3/12 pls help out!
Answers
Answer:
1/4
Step-by-step explanation:
Hope that helps :)
Find the area of a triangle where the base is 3 3/4 in and the height is 4 inches.
Answers
Multiply base times height and then divide by 1/2
(3 3/4)(4)=15
15/(1/2) = 30
5 more than 10
A)5/10
B) 5-10
C) 10+ 5
D) 2*10
Answers
Answer:
A po
Step-by-step explanation:
sana paka tulong
nabmdafncjs
aahaqjapqna
6(9+12) procedimiento con propiedad distributiva
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Answer:
126
Step-by-step explanation:
A question that requires the use of statistics is called a
Answers
Answer: A statistical question is a question that can be answered by collecting data that vary.
Step-by-step explanation: “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.
Answer:
Statistical Question?
Step-by-step explanation:
Emily wrote these words on her fridge using magnetic letters. One of the letters falls off the door when it is closed. What is the DECIMAL probability that the letter is red? *
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Answer:
ydlyuxukz
Step-by-step explanation:
a punch recipe calls for 3 liters ginger ale, 1.5 liters tropical fruit juice. and 500 milliliters pineapple juice. how much punch will the recipe make?
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Answer
189
Step-by-step explanation:
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