calvin has a fever with 38.5 degrees celsius, after taking medicine it drops by 2 degrees celsius. write the temperature of calvin after taking medicine
Answer:
36.5 degrees Celsius
Step-by-step explanation:
38.5-2=36.5 degrees Celsius
Let f be a differentiable function such that f(1)=π2 and f′(x)=3arctan(x2−3x+2). What is the value of f(3) ?
Answer:
2.899
Step-by-step explanation:
Given that:
[tex]f' (x) =3 tan ^{-1} (x^2 -3x +2)[/tex]
[tex]\text{applying integration on both sides with respect to x}[/tex]
[tex]\int \limits ^{3}_{1}} f'(x) \ dx = \int ^3_1 3tan ^{-1} (x^2 -3x+2) \ dx[/tex]
[tex]f(3)-f(1)= 3 \int ^3_1 3tan ^{-1} (x^2 -3x+2) \ dx[/tex]
[tex]f(3) = \dfrac{\pi}{2}+3\int^{3}_{1} tan^{-1} (x^2 -3x+2)dx ---(1)[/tex]
[tex]\text{consider } \ \ 3\int^{3}_{1} tan^{-1} (x^2 -3x+2)dx[/tex]
[tex]h = \dfrac{b-a}{n}[/tex]
[tex]where; n = 10 , a =1, b= 3[/tex]
[tex]h = \dfrac{3-1}{10}[/tex]
[tex]h = \dfrac{2}{10}[/tex]
[tex]h = 0.2[/tex]
[tex]\text{The value of x and corresponding } y = 3tan^{-1}(x^2-3x+2) \ are:[/tex]
x 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3
y f(0) f(1.2) f(1.4) f(1.6) f(1.8) f(2.0) f(2.2) f(2.4) f(2.6) f(2.8) f(3)
By simpson's rule:
[tex]\int \limits ^3_1 \ 3 tan^{-1} (x^2-3x+2) dx \simeq \dfrac{h}{3}(y_o+y_{10}) +4(y_1+y_3+y_5+y_7+y_9)+2(y_2+y_4+y_6+y_8)][/tex]
[tex]=\dfrac{0.2}{3}\Big[(0+3.3214)+(-1.9039+2.8265+1.4133+6.1259+11.5657)+2(-1.4133-0.9519+1.4133+4.5899)\Big][/tex]
[tex]= 1.32804[/tex]
[tex]\text{From}; f(3) = \dfrac{\pi}{2}+1.32804 \\ \\ f(3) = 2.89883633 \\ \\ \mathbf{f(3) \simeq 2.899}[/tex]
Trapezoidal rule is used to evaluate the area of the curve by using various strips of equal width which is in the form of trapezoids. The value of [tex]f(3)[/tex] is 2.8989.
Given information
In the given problem [tex]f[/tex] is the function such that,
[tex]f(1)=\dfrac{\pi}{2} \\[/tex]
The differentiated function is,
[tex]f'(x)=3\tan^-(x^2-3x+2)[/tex]
Integrate the above equation with respect to the x,
[tex]\int\limits^3_1 {f'(x)} \, dx =\int\limits^3_1 {3\tan^-(x^2-3x+2)} \, dx\\f(3)-f(1) =\int\limits^3_1 {3\tan^-(x^2-3x+2)} \, dx\\f(3) =3\int\limits^3_1 {\tan^-(x^2-3x+2)} \, dx +f(1)\\f(3) =3\int\limits^3_1 {\tan^-(x^2-3x+2)} \, dx +\dfrac{\pi}{2}[/tex] .........1
Let the above equation is the equation number 1.
Let the integrated function,
[tex]y=3\int\limits^3_1 {\tan^-(x^2-3x+2)} \, dx[/tex]
Solve the above equation using the trapezoidal rule.
Trapezoidal rule-Trapezoidal rule is used to evaluate the area of the curve by using various strips of equal width which is in the form of trapezoids.
In the given problem,
[tex]h=\dfrac{b-a}{n}[/tex]
Use this formula for the integrated function,
[tex]h=\dfrac{3-1}{10}\\h=0.2[/tex]
Use the Simpson formula to solve the above equation,
[tex]=3\int\limits^3_1 {\tan^-(x^2-3x+2)} \, dx[/tex]
[tex]=\dfrac{h}{3} (y_0+y_{10})+4(y_1+y_3+y_{5}+y_7+y_{9})+2(y_2+y_{4}+y_6+y_{8})[/tex]
Find the value of y by putting the values in the given formula. Thus,
[tex]=\dfrac{0.2}{3} (0+3.3214)+4(-1.9039+2.8266+1.4133+6.1259+11.5657)+2(-1.4133-0.9519+1.4133+4.5899)\\=1.32804[/tex]
Put this value in equation 1,
[tex]f(3) =1.30824 +\dfrac{\pi}{2}\\f(3)=2.8989[/tex]
Thus the value of [tex]f(3)[/tex] is 2.8989.
Learn more about the trapezoidal rule here;
https://brainly.com/question/15323877
$2is what percent of $10
Answer:
2persent
Step-by-step explanation:
because there are 10 10 in 100
Answer:
20%
Step-by-step explanation:
Please help! Giving 20 points!! I only need number 11
Find the slope of the line that passes through the points A (0, 2) and B (4, –1).
Use the formula (y2 - y1) / (x2 - x1)
Answer:
-3/4
Step-by-step explanation:
y2-y1/x2-x1 =
-1-2/4-0=
-3/4
divide 80,000 by 100 please help
Answer:
800
Step-by-step explanation:
80000 / 100 is 800
Answer:
80,000/100= 800
....................
Each student in a group of 32 students was asked the following question.
"Do you have a desktop computer (D), a laptop (L) or a tablet (T )?"
Their answers showed that
Answer:
.shsnxbjsjJsjsiakzjxjisksjxjs
What is the general formula of a quadratic equation
Answer:
ax2 + bx + c
Step-by-step explanation:
Draw and label a picture if necessary.
Define all of the variables.
Determine if there is a special formula needed. Substitute the given information into the equation.
Write the equation in standard form.
Factor.
Set each factor equal to 0. ...
Check your answers.
Answer:
The Quadratic Formula: For ax2 + bx + c = 0, the values of x which are the solutions of the equation are given by:
x = −b + √(b2 − 4ac)2a
Question 7
What is the equation of the line that goes through the points (4, - 1) and (2, 3)?
у = 2х +7
y = - 2x + 7
y=- 2x - 1
у = 2х – 1
Answer:
the answer is b
Step-by-step explanation:
The value of a fifth stock, stock E, changed by 2 1/2 times as much as Stock D. What is the change in value in Stock E?
Answer: — Cramer: Tesla is the first non-traditional tech stock that could move the market ... The electric car maker has a 1.69% weighting in the index, the fifth largest. ... (S&P Dow Jones uses float-adjusted market value rather than the outright number.) ... For every $11.11 Tesla moves, the S&P 500 changes 1 point, ...
pls Brainliest
Eva marked 18% of the e-mails in her Inbox as Important. If she has 150 e-mails in her Inbox, how many did she mark as Important?
A n=0.18(150)
B 150n= 0.18
C 0.18n=150
D n=0.18/150
Answer:
A
Step-by-step explanation:
To find the percent of a number, write the percent as a decimal and multiply it by the number
What is the value of b?
A.6
B.2sqr 13
C.3sqr13
D.3sqr14
Answer:
En este caso 70 ° y 20 ° son complementarios porque 70° + 20° = 90°.
Más ejemplos podrían ser 47° y 43°, ya que 47° + 43° = 90°, 30° y 60°, 45° y 45° , etc.
Dos ángulos son suplementarios si su suma forma un ángulo llano, es decir, 180°.
A fossilized leaf contains 8% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14.
Answer:
Step-by-step explanation:
0.5^(t/5600) = 0.08
2^(-t/5600) = 0.08
-t/5600 = log₂0.08
t = -5600 log₂0.08 ≈ 20406 years
Which expressions are equivalent to g + h + (j + k)? Check all that apply.
g + (h + j) + k
(g + h) + j k
(g + h) + j + k
g + (h j) + k
g h + j k
g (h + j) k
g + h (j + k)
Answer:
According to the associative property of equality: (a + b) + c = a + (b + c) we can see that the parenthesis do not mean anything when we are only doing addition.
So answers 1. and 3. are correct.
Step-by-step explanation:
Answer:
person above seems corect and he said a and c
Solve the equation: 2/3x+1/4=3
Answer:
x = 33/8
Step-by-step explanation:
2/3 x + 1/4 = 3
Subtract 1/4 from both sides.
2/3 x = 3 - 1/4
2/3 x = 12/4 - 1/4
2/3 x = 11/4
Multiply both sides by 3/2.
3/2 * 2/3 x = 3/2 * 11/4
x = 33/8
The function h(t)=-16t^+144 represents the height, h(t), in feet of an object from the ground at t seconds after it is dropped. A realistic domain for this function is?
Answer:
[tex]0 \le t \le 3[/tex]
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 144[/tex]
Required
Determine a reasonable domain
The domain is the possible values of t for which h(t) is true
Before the object is released, the value of t is:
[tex]t = 0[/tex]
Next, is to calculate the value of t after the ball reaches the ground.
At this point, h = 0.
So, we have:
[tex]h(t) = -16t^2 + 144[/tex]
[tex]0 = -16t^2 + 144[/tex]
[tex]16t^2 = 144[/tex]
Divide both sides by 16
[tex]t^2 = 9[/tex]
Take the positive square root of both sides
[tex]t = 3[/tex]
This means that the ball reaches the ground in 3 seconds.
So, the domain is:
[tex]0 \le t \le 3[/tex]
five people can finish painting a wall in 5 hours if only 2 people are available how many hours do they have to work to finish the same job
with solution please
and what type of proportion
thank you very much
Answer:
The number of hours required for 2 people to do the same job/work is 12.5 hours.step by step expanation:The number of hours required for 2 people to do the same job representedby x:
(5 people) (5 hours)x = ------------------------------ 2 people 25 hoursx = ------------------- 2x = 12.5 hoursHope it helpfullHow many pizzas can Naylah make with 9 blocks of cheese?
Heres more info qs
How many pizzas can she make if each pizza needs a given amount of cheese?- the given amount of cheese is 1/5 block of cheese
Find the value of x. Round to
the nearest tenth.
17°
47
IX
X =
= [?]
Answer:
For this question, we need to use a little bit of trigonometry.
We have: sine 17 = x/47
Simplifying: 0.29 = x/47
Multiply both sides by 47 to get: x is about 13.7
Let me know if this helps!
Answer:
13.7
Step-by-step explanation:
A container has 20 12 cups of pancake mix. A serving uses exactly 2 ) cups.
Part A
How many full servings are in the container?
full servings
(a)
Part B
How many cups of pancake mix are left over?
Answer:
10 full servings and [tex]\frac{1}{4}[/tex] cups leftover
Step-by-step explanation:
Our container has a total of 20 and a half cups. And each full serving is 2 cups.
So, we divide [tex]\frac{20\frac{1}{2} }{2}[/tex].
To do this manually, we convert the numerator into an improper fraction: [tex]\frac{\frac{41}{2} }{2}[/tex].
Now, we multiply the denominators: [tex]\frac{41}{4}[/tex].
This will give us [tex]10\frac{1}{4}[/tex] servings. So we only have 10 full servings.
There are [tex]\frac{1}{4}[/tex] cups leftover.
The manager of a company wants to find out how many hours the employees worked in the previous month. Which of the following is a statistical question that the manager can ask? A. How many employees are there in the company? B. Which employee worked the most hours in the last month? C. How many employees worked more than 35 hours this week? D. How many hours does each employee work in a week?
Answer:
B. How many hours does each employee work in a week?
Step-by-step explanation:
A statistical question is one that has a variable answer.
The answers to the question, "How many hours does each employee work in a week?" vary by employee, so it is a statistical question.
I hope i helped
Is this statement true or false? A finance charge is what you pay to ship a purchase.
Answer:
false
Step-by-step explanation:
I took the test
Answer:
I think the answer is false
In the figure below, mZ1 =(x+44) and mZ2=3xº.
Find the angle measures.
Answer:
where is the diagram? please provide the diagram.
which expression is equlvalent to the given expression? assume the denominator does not equal zero.
14x⁴y⁶/7x⁸y²
I attached the the answers
Answer:
the answer is A. 2y^4/x^4
Step-by-step explanation:
i took the test and there is this app for pc called wolfamalpha.com
Answer:
A. 2y^4/x^4
Step-by-step explanation:
hetgerqfregerqgrqe
One number is four more than a second number. Three times the first is 13 less than 2 times the second. Find the numbers
Answer:
11
Step-by-step explanation:
cuz i know lol
The diagram shows an equilateral triangle, a square, and one diagonal of the square. what is the value of x
Answer:
can u get a pic of the diagram
Step-by-step explanation:
Can someone help me find the solution to these equations by using substitution
Plz help will give brainliest for brainliest!!!!!!
Answer:
1
Step-by-step explanation:
The use of
Parenthesis(1+2)=3
Exponents- none
Multipy- 2 times the 3 is 6
Divide 6/6 is 1
Add- none
Subtract- none
Answer:
9
Step-by-step explanation:
you should have search it up :)
HAVE A GREAT DAY
calculate x. (geometry)
im in need of help, its due in like 14 minutes
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Isosceles triangles.
Since, the sides are equal, we can equate them, so we get as,
==> 16x + 13 = 24x -19
=> 24x -16x = 13+19
=> 8x = 32
x = 4
hence ==> x = 4.
Extra points!
Help me if y’all can! Thanks so much!!