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3 years ago

what is f" (pi/4) where f (x) = sin x + cos x ?? Show all your work. Write your final answer in simplest radical form.

Mathematics

1 answer:

Lynna [10]3 years ago

3 0

Answer:

-√2

Step-by-step explanation:

f(x) = sinx + cosx

f'(x) = cosx - sinx

f''(x) = -sinx - cosx

f''(pi/4) = -sin(pi/4) - cos(pi/4) = -√2

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Step-by-step explanation:

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The rest of solution in the attachment.

There's a mistake in the picture
It shoud be
$V=\pi\left(\dfrac{289\sqrt{17}-521}{60}\right)\approx35$

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Step-by-step explanation:

a < (a + b)/2 < b

Solve the first inequality.

a < (a + b)/2

2a < a + b

a < b

Solve the second inequality.

(a + b)/2 < b

a + b < 2b

a < b

Both inequalities are true. Therefore, a < (a + b)/2 < b.

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