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konstantin123 [22]
4 years ago
12

I dont understand how to answer this. I tried to find the second derivative. ​

Mathematics
1 answer:
Orlov [11]4 years ago
7 0

Answer:

(B) π/12 + π/6 k

Step-by-step explanation:

Points of inflection are where f"(x) = 0 and changes signs.

f(x) = cos²(3x)

f(x) = (cos(3x))²

f'(x) = 2 (cos(3x))¹ × -sin(3x) × 3

f'(x) = -6 sin(3x) cos(3x)

Using double angle formula:

f'(x) = -3 sin(6x)

f"(x) = -3 cos(6x) × 6

f"(x) = -18 cos(6x)

0 = -18 cos(6x)

0 = cos(6x)

6x = π/2 + 2πk or 6x = 3π/2 + 2πk

We can simplify this to:

6x = π/2 + πk

x = π/12 + π/6 k

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Hey there!

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4 years ago
Problem
Rudiy27

Answer:

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3 years ago
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because you didn’t attach a photo, im not entirely sure which length you gave is the height and base but because a rule for right angle triangles is that the longest length (called the hypotenuse) is always opposite the angle so we’re gonna assume that 32. 5cm is the hypotenuse for this triangle.

this means that 31.2cm and 9.1cm are our base and height length (interchangeable).

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