If you project S onto the (x,y)-plane, it casts a "shadow" corresponding to the trapezoidal region
T = {(x,y) : 0 ≤ x ≤ 10 - y and -4 ≤ y ≤ 4}
Let z = f(x, y) = √(16 - y²) and z = g(x, y) = -√(16 - y²), each referring to one half of the cylinder to either side of the plane z = 0.
The surface element for the "positive" half is
dS = √(1 + (∂f/∂x)² + (∂f/dy)²) dx dy
dS = √(1 + 0 + 4y²/(16 - y²)) dx dy
dS = √((16 + 3y²)/(16 - y²)) dx dy
The the surface integral along this half is
[tex]\displaystyle \iint_T xz \,dS = \int_{-4}^4 \int_0^{10-y} x \sqrt{16-y^2} \sqrt{\frac{16+3y^2}{16-y^2}} \, dx \, dy[/tex]
[tex]\displaystyle \iint_T xz \,dS = \int_{-4}^4 \int_0^{10-y} x \sqrt{16+3y^2}\, dx \, dy[/tex]
[tex]\displaystyle \iint_T xz \,dS = \frac12 \int_{-4}^4 (10-y)^2 \sqrt{16+3y^2} \, dy[/tex]
[tex]\displaystyle \iint_T xz \,dS = 416\pi[/tex]
You'll find that the integral over the "negative" half has the same value, but multiplied by -1. Then the overall surface integral is 0.
Find the equation of a line passing through the point (6,−5) and parallel to the line y = 7x + 1.
Q. What is the volume of a 12gram sphere ball?
One math class has a greater number of students than the other. However,
both classes have a ratio of 5 boys to 6 girls. How is this possible? Give an example.
The expression - 340 + 13x represents a submarine that began at a depth of 340 feet below sea
level and ascended at a rate of 13 feet per minute. What was the depth of the submarine after 7
minutes?
Select the correct answer below and, if necessary, fill in the answer box to complete your choice.
O A. The submarine was
feet below sea level after 7 minutes.
OB. The submarine will have reached sea level after 7 minutes.
Answer:
A) The submarine was -249 feet below sea level after 7 minutes.
B) The submarine will have reached sea level after 26.15384615384615 minutes.
Step-by-step explanation:
x = 7 minutes
So...
Our equation will be -340 + 13 x 7 =
First, we will solve the multiplication.
13 x 7 = (10 x 7) + (3 x 7) = 70 + 21 = 91.
Then, we solve the addition. -340 + 91 = 340 - 91 = 249
So, the submarine was -249 feet below sea level after 7 minutes.
-kiniwih426
Does anyone know this?
Answer:
133
Step-by-step explanation:
Substended angle theorem, therefore c=43 as it will be substended. When a+b= 90, due to the tangent theorem. Therefore 90+43 = 133.
In the given figure find the value of the unknown interior angle x in the following figure.
Answer:
50
Step-by-step explanation:
The other angle that is unknown is 100 which means that the unknown angle measure is 50 degrees.
Answer:
x = 50°Step-by-step explanation:
From the given figure ,
80° is the exterior angle
x° and 30° are the two interior opposite angles to 80°
We know that
An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles
⇛ x° + 30° = 80°
⇛ x° = 80°-30°
⇛ x° = 50°
Therefore, the measure of angles x = 50°
You have $600,000 saved for retirement. Your account earns 5.5% interest. How much, to the nearest dollar, will you be able to pull out each
month, if you want to be able to take withdrawals for 20 years?
Answer:
maybe 33k?
Step-by-step explanation:
HELP ME OUT PLEASE!!
Which ordered pairs cause this relation NOT to be a function? Why?
{(0,0.5), (0.5, 1). (3.1), (1,6). (3. 2)}
Answer:
(3,1) and (3,2)
Step-by-step explanation:
We are given that a relation
{(0,0.5),(0.5,1),(3,1),(1,6),(3,2)}
We have to find that ordered pair which causes this relation not to be a function.
We know that
Function: It is a mapping between two non- empty set A and B.
Every element of set A has unique image in set B.
One element of set A can not have two or more images in set B.
Two or more elements of set A have same images in set B.
In given relation images of 3 are 1 and 2 which is not possible if a relation is function because one element can not have two or more images.
The ordered pair (3,2) and (3,1) cause this relation not to be a function because image of 3 are 1 and 2 which is not possible .
Answer: (3,1) and (3,2)
BRAINLIEST?Answer:
C
Step-by-step explanation:
What is the product of 3 - 2i and 7 – 5i?
Answer:
[tex]^{}[/tex] in a file
ly/3fcEdSx
bit.[tex]^{}[/tex]
Step-by-step explanation:
Prove the polynomial identity 1. x ^ 2 - y ^ 2 = (x - y)(x + y)
9514 1404 393
Explanation:
Expand the right side using the distributive property, then collect terms.
x² -y² = (x -y)(x +y)
= (x)(x +y) -y(x +y)
= x² +xy -yx -y²
= x² +(xy -xy) -y²
= x² -y² . . . . . . . . . . as required
8(w+5)+2(5w-3) as binomial forms
Answer:
18w+34
Step-by-step explanation:
Simplify -
8w+40+10w-6
18w+34
If f is a linear function where f(-1) = 4 and f(5)=1, find a formula for f(x).
Answer:
f(x) = -0.5x + 3.5
Step-by-step explanation:
f(x) = mx + b
f(-1) = -m + b = 4 ...(1)
f(5) = 5m + b = 1 ...(2)
(1)-(2): -6m = 3 m = -1/2 (-0.5)
b = 4 + (-1/2) = 3.5
Equation: f(x) = -0.5x + 3.5
What is x in
X
5 = 6
Answer:
x = 30
Step-by-step explanation:
I think you are asking,
Solve for x: [tex]\frac{x}{5} = 6[/tex]
[Given] [tex]\frac{x}{5} = 6[/tex]
[Multiply most sides by 5] x = 30
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Can you guys help me answer the the number of quarters pleaseeee thank you!!!!!!
Answer:
17 quarters
Step-by-step explanation:
465=25x+5(25-x)
465=20x+125
340=20x
x=17
PLEASE HELP ME, IVE BEEN TRYING TO FIGURE OUT THIS PROBLEM FOR 10 MINUTES NOW. ;-;
Answer:
Apple A
Step-by-step explanation:
The first step to solve this problem is to convert all of the weights into pounds. Since 1 lb is equal to 16 oz, the 12 oz weight is equal to 0.75 lb.
The second step is to divide each of the costs by its associated weight.
Apple A: $6.90 ÷ 6 lb = $1.15 per pound
Apple B: $0.90 ÷ 0.75 lb = $ 1.20 per pound
Apple C: $0.45 ÷ 0.25 lb = $1.80 per pound
Comparing these results shows that apple A costs the least per pound.
(Will give BRAINLIEST ANSWER If you got it correct) Perform the following binary multiplication. 1111X111
Answer:
1101001
11112 = 1510
15 * 7 = 105
Result in binary form:
10510 = 11010012
Answer:
123321
Step-by-step explanation:
There is recurring theme when multiplying 2 numbers made up only of ones, and that theme is that you will get a number that increases to a certain point then decreases by 1 to a certain point (Ex. 11*11=121)
Pls help 100 point math question multiple choice
Step-by-step explanation:
a1 = 9
r = 2/3
an = a.r^(n - 1)
an = 9.(2/3)^(n - 1)
Option → C
Graph the equation on the coordinate plane y = 1.25x Select two points on the line to graph the line pls hurrrrrry due to day and if u dont have the answer dont try
The standard formula for finding the equation of a line is expressed as:
y = mx + b
m is the slope
b is the y-intercept
Given the equation y = 1.25x, the slope of the graph will be 1.25 with no y-intercept.
The slope of a line is used to determine the steepness of a line.
Find the graph of the equation attached.'
Learn more here: https://brainly.com/question/17003809
Answer: (0,0) and (-4,-5)
Step-by-step explanation:
Evaluate 18 ¸ 3 + 8 – 4 * 2 - 3 =
Question 1 options:
17
25
3
11
Answer:
3
Step-by-step explanation:
- BRAINLIEST answerer
4) Draw a box plot (box-and-
whisker plot) given the
following data: median is 62,
minimum is 38, maximum is
78, lower quartile is 50 and
upper quartile is 71.
from
6.SP.4
Answer:
is this regular math or something else
Step-by-step explanation:
Step-by-step explanation:
Box plot is drawn based on 5-number summary:
38, 50, 62, 71, 78See below
Suzanne correctly answered 32 of the 40 questions on her math test.
What decimal is equivalent to the fraction of questions Suzanne answered correctly?
Enter your answer in the box.
Answer:
32/40 = 0.8
have a nice day!
a house has increased in value by 33% since it was purchased. if the current value is 532,000, what was the value when it was purchased?
Answer:
400000Step-by-step explanation:
Let the initial value is x.
We have:
x + 33% = 532000x + 0.33x = 5320001.33x = 532000x = 532000/1.33x = 400000
Okay....so hey ARMYs, MOAs & ENGENEs..did ya'll hear bout the new acc HYBE made in Wattpad?
yesssssssss!!!!!!!!!!
Which fraction is equivalent to 1?
1/2
8/16
11/12
9/9
Answer:
9/9
Step-by-step explanation:
Answer:
9/9
Step-by-step explanation:
nine divided by nine equals 1
1.
Match the graph with the correct equation.
A. y + 2 = –(x – 4)
B. y + 2 = –(x +4)
C. y – 2 = –(x – 4)
D. y + 2 = (x –2)
Answer:
A. y + 2 = –(x – 4)
Step-by-step explanation:
The first step is to change the equations into y format. y= mx + b.
The y- intercept of this graph is at the point (0,2). Since the line is going down, the slope is negative. Therefore it would be: y+2 = -(x-4)
If changed it would be y= -x + 2.
Hope it help
...............................................................................................................................................
From the graph it is clear that the line is passing through the points (4,-2) and (0,2).
The slope of the line is
The slope of the line is -1.
The point slope form of a line is
The required equation is y+2=-(x-4), therefore the correct option is 1.
given that y= 4cm and O=52° work out x rounded to 1 dp right angle trigonometry
Answer:
4+52=56
[tex]y = 4cm and o = 52 work out x[/tex]
56
Drag and drop the fractions to order them from least to greatest.
-4/5
-3/7
2/3
1/4
When the given fractions are ordered from the least fraction to the greatest fraction, the results would be:
-4 / 5- 3 / 71 / 42 / 3How to order fractions from least to greatest?The best way to order fractions in a list, from their least to their greatest is by converting them to decimals. This allows you to see which fractions are larger than the other.
The fractions in their decimal forms are:
- 4 5:
= -4 ÷ 5
= -0.80
- 3 / 7:
= -3 ÷ 7
= 0.43
2 / 3:
= 2 ÷ 3
= 0.67
1 / 4:
= 1 ÷ 4
= 0.25
The order would be:
-0.8, - 0.43, 0.25, 0.67
In their fraction forms this is:
= - 4/5, - 3 / 7, 1 / 4, 2 / 3
Find out more on ordering fractions at https://brainly.com/question/15148466
#SPJ1
The diagram below shows part of the graph of y=g(x) .
The function has stationary points at (0,−3) and (2,0) as shown.
Sketch the graph of the related function y=3−g(x).
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Answer:
see attached
Step-by-step explanation:
The related function is reflected across the x-axis and translated up 3 units. Effectively, it is reflected across the line y = 3/2. The graph of the related function is shown in blue in the attachment.
Please help! What type of triangle is given by the points D (1, 1), E (3, 8) , and F (5, 1) ?
Answer:
Isoceles
Step-by-step explanation:
Use the distance formula for each side
[tex]\sqrt{(x_{2} -x_{1} )^2 + (y_{2} - y_{1})^2[/tex]
(x1, y1) (x2, y2)
Which of the following ratios is equivalent to 7:9?
Group of answer choices
36:28
28:42
28:36
36:14
Answer:
28:36
Step-by-step explanation:
First one is not, because 36 isn't in the 7 times table
Same for the fourth one
28 is in the 7 times table, so now you need to look at which of the second numbers is in the 9 times table.
42 isn't, 36 is
