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Goryan [66]
3 years ago
7

How do you take the antiderivative of (sinxcosx)^2?

Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0
<span>∫(sinx cosx)^2dx = ∫(1/2sin 2x)^2 dx = 1/4∫sin^2 2x dx = 1/4∫1/2(1 - cos 4x)dx = 1/8∫(1 - cos 4x) dx = 1/8[x - sin 4x / 4] + c = 1/32(4x - sin 4x) + c
</span>
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Find the area of the figure. Use 3.14 as π.
Karolina [17]

Answer: D. 94.25 in²

Step-by-step explanation:

To find the total area, we will break the shape up into two different parts.

[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.

      Area of a circle:

A = πr²

      Use 3.14 for pi:

A = (3.14)r²

      Find the radius:

d / 2 = r, 10 / 2 = 5 in

      Subsittue:

A = (3.14)(5)²

A = 78.5 in²

      Divide by 2 since it is only half:

78.5 in² / 2 = 39.25 in²

[] The triangle is 55 in².

      Area of a triangle:

A = b*h/2

A = 11 * 10 / 2

A = 110 / 2

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[] Total area. We will add the two parts together.

55 in² + 39.25 in² = 94.25 in²

7 0
2 years ago
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Simplify the difference. (4w^2 – 4w – 8) – (2w^2 + 3w – 6)
Blababa [14]

Answer:

  2w^2 -7w-2

Step-by-step explanation:

(4w^2 – 4w – 8) – (2w^2 + 3w – 6)

Distribute the minus sign

(4w^2 – 4w – 8) – 2w^2 - 3w + 6

I like to line them up vertically

  4w^2 – 4w – 8

– 2w^2 - 3w + 6

-----------------------------

  2w^2 -7w-2

8 0
3 years ago
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KIM [24]
9 jeans. 2 shirts per jean. And 18 divided by 2= 9

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3 years ago
There
gregori [183]

Answer: first part is 2 then 0, after, its “are two real solutions” on edg, yw

Step-by-step explanation:

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3 years ago
Find the missing angle in a triangle with the given sides.
Yuliya22 [10]

Answer:

Step-by-step explanation:

44 + 99 + x = 180

143 + x = 180

x = 37

<h2>G = 37</h2>
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3 years ago
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