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Find derivatives of other trigonometric functions

Which ordered pair is a solution of the equation?

7x - 2y = -5

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1

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(Choice A) Only

(1, 5)

(1, 5)

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(Choice B) Only

(-1, 1)

(-1, 1)

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(Choice C) Both

(1, 5)

(-1, 1)

(1, 5)

(-1, 1)

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(Choice D) Neither D Neither

Gears A and B turn together. Gear A turns

20

times when Gear B turns

30

times. When Gear A turns

60

times, how many times does Gear B turn? Show your work.

y = x^3 + 2x + 5

z = x^2 + 7x + 1

2y + z

x

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3x^3 + 11x + 11

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2x^3 + x^2 + 9x + 6

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2x^3 + x^2 + 11x + 11

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2x^3 + 2x^2 + 18x + 12

What is the average value of

g(x)=4 \cos \left(\sqrt{x^{2}+x+5}\right)

on the interval

[0,5]

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Use a graphing calculator and round your answer to three decimal places.

What is the exact value of

\tan\left(\frac{19\pi}{12}\right)

Prove the identity.

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\frac{\sin 2x}{1+\cos 2x}=\tan x

Find the derivative of

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f(x)=6\sec(x)+x^{3}.

In School District X,

6.9\%

29

students in Ms. Walker's sixthgrade class identify as Asian. The average sixth-grade class size in the school district is

29

. If the students in Ms. Walker's class are representative of students in the school district's sixth-grade classes and there are

112

sixth-grade classes in the district, which of the following best estimates the number of sixth-grade students in the school district who do not identify as Asian?

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1

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3,248

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3,024

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1,007

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224

Find the derivative of

f(x)

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f(x) = \tan(x)

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f'(x) =