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Georgia [21]
3 years ago
12

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

Mathematics
1 answer:
zalisa [80]3 years ago
8 0

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)

You might be interested in
Rabbit population can double every 30 days, if there are 20 rabbits on a farm, how many rabbits will be on the farm after 210 da
Art [367]

Knowing the amount doubles every 30 days, we'll have to find how many times it'lll double in the 210-day time frame:

210 / 30 = 7


It doubles 7 times. If we were to write a rough, not worked on expresion representing that, knowing the starting population was of 20, we would write:

(((((((20 * 2) * 2) * 2) * 2) * 2) * 2) * 2) = 2560 rabbits




Hope it helped,



Happy homework/ study exam!




7 0
3 years ago
Read 2 more answers
-5+ 3= 2) -7 -4 3) 122 × (-9) 4) -6 divided by 3/4
lutik1710 [3]

Answer:

Step-by-step explanation:

1) -5 +3 = -2

When two numbers are in different sign, subtract and the result will have the bigger numbers sign.  The bigger number is 5. so the result is (-2)

2) -7 - 2 = -9

When two numbers have same sign, add and the result will have the common sign

3) 122 * (-9) = - 1098

4) -6 ÷ (3/4)

=(-6)*\frac{4}{3}\\\\=-2*4

= -8

4 0
3 years ago
Suppose the time to complete a 200-meter backstroke swim for female competitive swimmers is normally distributed with a mean μ =
MatroZZZ [7]

Answer :hola quoo msal

Step-by-step explanation:

8 0
3 years ago
I need some help pls
Nimfa-mama [501]
Answer is A, basically using the Pythagorean theorem but in a slightly different way, should still get you the same answer.
4 0
2 years ago
Ryan works mowing lawns and babysitting. He earns $8.20 an hour for mowing and $7.70 an hour for babysitting. How much will he e
Snezhnost [94]

Answer:

Step-by-step explanation:

Ryan works mowing lawns and babysitting. He earns $8.20 an hour for mowing and $7.70 an hour for babysitting. Therefore, the expression for the total amount that he would earn if he mows lawns for x hours and babysits for y hours would be

8.2x + 7.7y

Therefore, the amount that he would earn for 3 hours of mowing and 7hours of babysitting is

(8.2 × 3) + (7.7 × 7)

= 24.8 + 53.9

= $78.7

4 0
3 years ago
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