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nevsk [136]
3 years ago
11

Which of the following integrals represents the area of the region bounded in the first quadrant by x = pi/ 4 and the functions

f(x) = sec^2(x) and g(x) = sin(x)?

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0

Answer:

option B is true.

Step-by-step explanation:

We are given that two functions

f(x)=sec^2x and g(x)=sin x and a line x =\frac{\pi}{4}

We have to find the area of the region bounded in the first quadrant by x={\pi}{4} and two functions

We know that the area bounded by two functions

=Integration of region(Upper curve- lower curve)

Therefore, function of sec square x is upper curve and function of sin x is lower function

Therefore, limit of x changing from 0 to \frac{\pi}{4}

Hence, the area of the region bounded in the first quadrant and two functions is given by

=\int_{0}^{\frac{\pi}{4}} (sec^2x-sinx) dx

Therefore, option B is true.

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Find the volume of the cylinder with a radius of 16 mm and a height of 30 mm​
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Answer:

6,031 <em>using diameter, not radius</em>

V = \pi * (\frac{16}{2})^2 * 30 = 6,028.8

Which rounds closest to

6,031

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2 years ago
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8 0
3 years ago
5/8x - 11/2 = 3/4 <br> what does the x equal ?
Verizon [17]

Answer:

x=10

Step-by-step explanation:

5/8x - 11/2 = 3/4

Multiply each side by 8 to clear the fractions

8(5/8x - 11/2 = 3/4)

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6 0
2 years ago
Someone please tell me what to do
kifflom [539]
For this, we need to find the area of the larger rectangle (The room) and subtract from that the area of the smaller, shaded rectangle (The rug).
A=LW (L=Length, W=Width, A=Area)

The larger rectangle first:
A=(15)(10)
A=150 feet squared

Now the Rug:
A=(12)(7)
A=84 feet squared

Now to find the area that is NOT covered by the rug, we subtract:
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Hope this Helps!
-Sinnamin
4 0
3 years ago
What is the measure of X! Please help if you know how to do this!
deff fn [24]

Answer:

28°

Step-by-step explanation:

You're given that line DE and line FG are parallel and KL and FG are perpendicular. Then you can find out angle ∠BAC by using the vertical angles property: ∠BAC=62°. Then since KL and FG are perpendicular ∠ABC = 90°. So you find the angle ∠BCA by finding the sum of interior angles: 62+90+∠BCA=180, therefore ∠BCA is 28°. Finally, ∠x or ∠JCG = 28 because ∠JCG and ∠BCA are vertical angles and congruent.

4 0
3 years ago
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