Find the area of the region bounded by the functions f(x) = x4 and g(x) = 2 − x2
a. 44/15
b. 22/15
c. 88/15
d. none of these

Been stuck on this one for a while...

[tex]A=\frac{\pi}{8}+\frac{n\pi}{4}or\ A=\frac{\pi}{2}+n\pi[/tex]

[tex]cos3A+cos5A=0[/tex]

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[tex]2cos(\frac{3A+5A}{2})cos(\frac{3A-5A}{2})=0[/tex]

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[tex]2cos(\frac{8A}{2})cos(\frac{3A-5A}{2})=0\\\\ 2cos(\frac{8A}{2})cos(\frac{-2A}{2})=0[/tex]

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[tex]cos(\frac{8A}{2})cos(\frac{-2A}{2})=0[/tex]

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[tex]cos(\frac{8A}{2})=0\ or\ cos(\frac{-2A}{2})=0[/tex]

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[tex]cos\ 4A=0[/tex]

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[tex]4A=\frac{\pi}{2}or\ 4A=\frac{3\pi}{2}[/tex]

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[tex]4A=\frac{\pi}{2}+2n\pi \ or\\ \\ 4A=\frac{3 \pi}{2}+2n \pi\\ \\A=\frac{\pi}{8}+\frac{n \pi}{4\\}[/tex]

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[tex]cos(-A)=0[/tex]

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[tex]cosA=0[/tex]

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[tex]A=\frac{\pi }{2}\ or\ A=\frac{3 \pi}{2}[/tex]

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[tex]A=\frac{\pi}{2}+2n\pi\ or\ A=\frac{3\pi}{2}+2n\pi,n\in\ Z[/tex]

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[tex]A=\frac{\pi}{2}+n\pi[/tex]

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[tex]A=\frac{\pi}{8}+\frac{n\pi}{4}\ or\ A=\frac{\pi}{2}+n\pi ,n\in Z[/tex]

I hope this helps you

:)

Answer:

Step-by-step explanation:

The 3 angles add up to 180 degrees

2y + 2y + 5y = 180

9y = 180

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

As we know, Sum of all three Angles of Triangle is equal to 180° [ by Angle sum property of triangle ]

So, the required expression is :

[tex]\qquad \tt \dashrightarrow \:5y + 2y + 2y = 180[/tex]

or

[tex]\qquad \tt \dashrightarrow \:9y = 180[/tex]

if you solve for y, you will get y = 20°

And the angles as 100°, 40° and 40°

The selection of the three people is an illustration of combination

The number of different ways the three people can be selected is 10

From the question, we have the following parameters:

The number of different selections is then calculated using the following combination formula

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

So, we have:

[tex]^5C_3 = \frac{5!}{(5 - 3)!3!}[/tex]

Evaluate the difference

[tex]^5C_3 = \frac{5!}{2! * 3!}[/tex]

Evaluate the quotient

[tex]^5C_3 = 10[/tex]

Hence, the number of different ways the three people can be selected is 10

Read more about combination at:

https://brainly.com/question/11732255

Answer:

ur mom

Step-by-step explanation:

8%

Answer:

120%

Step-by-step explanation:

1998/1665 = 1.2

1.2x100 = 120%

Answer:

it is impossible

Step-by-step explanation:

all shapes need to have all angles to add up to 180 but this triangle adds up to 170

Answer:

D

Step-by-step explanation:

By subtracting the second part of the equation, you are doing the same as adding a negative.

Answer:

x=dc/a-b-d

I hope this helps

Answer:

The surface of the rectangular prism is 268

Step-by-step explanation:

SA=2B+ph if u use this it will help you as it is the formula for surface area i hope this helps

This is a practical exercise. However, the following definitions and equations will help you to arrive at the density of the objects you will put on the tray.

Population density is defined as the number of people (in this case) items (N)/area of space that they occupy. (A)

Note that the area to be occupied by the items you will put on the Square Tray is 10 X 10  = 100inches.

Assuming the number of items that you put on the tray (that is total number of muffins, cookies, biscuits etc) equals 50,

The Density will be = 50/100

= 0.5 objects/In

Learn more about Density at:
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Answer:

90

Step-by-step explanation:

90 because it's your maximum.

Answer:

center=(5,-3)

radius = 2 unit

Step-by-step explanation:

Answer:

(5,-3)    radius-- 2

Step-by-step explanation:

Answer:

Im pretty sure the answer is B) 349.45 in^2

Step-by-step explanation:

Hope This helps

Have A great Day

~Zero~

Step-by-step explanation:

The common ratio is: r=0.3333333333333333

The sum of this series is: s_4=4320

The general form of this series is: a_n=2916*0.3333333333333333^(n-1)

Answer:

(18x) * (24x)

Step-by-step explanation:

Answer: 120

Step-by-step explanation:

Answer:

Recycling etc.

Step-by-step explanation:

Eliminate Waste from Lunches.

Stop Littering.

Reduce Paper Consumption.

Save Electricity.

Save Water.

Swap Regular School Supplies.

Bring Reusable Bags to the Grocery Store.

Walk to School or Take a Bike, Avoid Taking Cars or Carpool When Possible.

The cylinder that has a diameter and height of 6 feet and 2 feet respectively has a volume of 56.5 ft³

volume of a cylinder = πr²h

where

Therefore,

radius = 6 / 2 = 3 feet

height = 2 feet

volume of the cylinder = 3.14 × 3² × 2

volume of the cylinder = 3.14 × 9 × 2

volume of the cylinder = 3.14 × 18

volume of the cylinder = 56.52

volume of the cylinder = 56.5 ft³

learn more on volume here: https://brainly.com/question/15891031

The removable discontinuity is at negative 6 and 6. Then the correct option is B.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The function is given as

[tex]f\rm (x) =\rm \dfrac{x^2-36}{x^3-36x}[/tex]

The expression can be written as

[tex]f\rm (x) =\rm \dfrac{x^2-36}{x(x^2-36)}[/tex]

[tex]f\rm (x) = \dfrac{1}{x}[/tex]

The non-removable discontinuity is x = 0.

More about the function link is given below.

https://brainly.com/question/5245372

Answer :its B

Step-by-step explanation: got it right on edg 2022

Answer:

can you mark brainliy

Step-by-step explanation:

x²-5x+(-5/2)²=27+(-5/2)²

(x-5/2)²= 133/4

x-5/2= ±√(133/4)

x= (5/2)± √(133/4)

x= ...

f(n) is an arithmetic sequence, so the difference between any two consecutive terms is the same. For instance,

f(2) - f(1) = -0.6 - 0.7 = -1.3

so for all natural numbers n, we should have

f(n) - f(n - 1) = -1.3

Then

f(6) - f(5) = -1.3   ⇒   f(6) = -4.5 - 1.3 = -5.8

f(7) - f(6) = -1.3   ⇒   f(7) = -5.8 - 1.3 = -7.1

Answer:

$11390.30

Step-by-step explanation:

Discount

12916 x 0.15 = 1937.4

Discounted price

12916 - 1937.4 = 10978.6

Tax of 3 and 3/4 percent which I think is 0.0375

10978.6 x 0.0375 = 411.6975

Total

10978.6 + 411.6975 = $11390.2975

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

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Answer:

↝[tex]r = \frac{471}{25\pi} [/tex]

Solution:

[tex]2\pi r = 37.68[/tex]

[tex] \frac{2\pi r}{2\pi} = \frac{37.68}{2\pi} [/tex]

[tex]r = \frac{37.68}{2\pi}[/tex]

[tex]r = \frac{471}{25\pi} [/tex]

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If u evaluate it it will become

=5.996958256

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Explanation:

#Carry on learning

(0,-2)

it'll remain same

hope it helps...!!!!

Answer:

Step-by-step explanation:

<ACB = <ECD    

These 2 angles are vertically opposite and are equal.

<B = <D

They are both right angles are therefore equal.

The answer is the AA postulate.

A

Note

ASA is a congruence postualate. If S is between two angles that can be shown to be corresponding and equal, then you will have 2 congruent triangles.

SSS if three sides of 1 triangle = 3 sides of a second triangle, then the 2 triangles are congruent. If the the three sides of one triangle are in a ratio with 3 sides of the other triangle, then the triangles could be similar, but that is not the case here.

SAS this is the terminology for congruence as well. We don't know enough to use it for similarity. Some sort of ratio would have to be mentioned to do that.

You are intended to use AA as your answer.

Answer: 5 feet

Step-by-step explanation:

Answer: 5 feet

Step-by-step explanation:

Answer: The measure of the missing angle is 115∘.

Step-by-step explanation: To find missing interior angles, you have to add the two angles that are known and see how much they add up.  The work is done below:

40∘ + 75∘ = 115∘.

In order to find out the missing interior angle, we have to subtract 115∘ from 180∘ to find that angle:

180∘ - 115∘ = 65∘, which is the missing angle that is inside the triangle.

Now, you're probably wondering how any of this has to do with finding the angle that has a ? on it.  Well, us finding the missing interior angle inside of the triangle is what's going to help us find that angle with a ? on it.  To find that angle, you need to subtract 65∘ from 180∘ to find the angle that you need:

180∘ - 65∘ = 115∘.

Therefore, 115∘ is your answer.

Let me know if this is right! :)

The perimeter of a triangular window is the sum of its side lengths

The side lengths of the window are 33 inches, and 54 inches

The ratio is given as:

Ratio = 11: 18 : 18

Rewrite as:

Ratio = 11x: 18x : 18x

Express as sum

Sum = 11x + 18x + 18x

Sum = 47x

The perimeter is 141 inches.

So, we have:

47x = 141

Divide both sides by 47

x = 3

Recall that:

Ratio = 11x: 18x : 18x

So, we have:

Ratio = 11*3: 18*3 : 18* 3

Ratio = 33: 54 : 54

Hence, the side lengths of the window are 33 inches, and 54 inches

Read more about perimeter at:

https://brainly.com/question/17297081

Answer:

y= - 1/2x +2.5 or the slope is 2 if were going positive y-int is the same

Step-by-step explanation: