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2 years ago

What fraction is equivalent to 7 over 15

1 answer:

6 0

There are lots of them I know but I will only give you a few of them.

14/30 56/120
21/45 63/135
28/60 70/150
35/75 77/165
42/90 84/180
49/105 91/195

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<5 and <7 are _____ angles.

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What is the product mentally of (ab + 3)(ab - 3)

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ab² - 9

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What are the points of inflection of k(x)=sinx-(1/4)sin2x

zalisa [80]

Answer:

Option d is correct.

Step-by-step explanation:

The point of inflection of a function y = f(x) at a pointy c is given by f''(c) = 0.

Now, the given function is

$k(x) = \sin x - \frac{1}{4}\sin 2x$

Differentiating with respect to x on both sides we get,

$k'(x) = \cos x - \frac{1}{2} \cos 2x$

Again, differentiating with respect to x on both sides we get,

$k''(x) = - \sin x + \sin 2x = - \sin x + 2 \sin x \cos x$

So, the condition for point of inflection at point c is

k''(c) = 0 = - sin c + 2 sin c cos c

⇒ sin c(2cos c - 1) = 0

⇒ sin c = 0 or $\cos c = \frac{1}{2}$

⇒ c = 0 or $c = \pm \frac{\pi}{3}$

Therefore, option d is correct. (Answer)

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3 years ago