1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
Which facts could be applied to simplify this expression? Select three options.
kumpel [21]

Answer:

A, B, and D

Step-by-step explanation:

To subtract like terms, you're supposed to subtract the coefficients, so <u><em>Option 1 is correct</em></u>. The statement like terms are terms that contain the same variable, raised to the same power, is true, so <u><em>Option 2 is correct</em></u>. The simplified expression is -4 - 3y + 3z, so Option 3 is wrong and <u><em>Option 4 is correct</em></u>. Option 5, -(-x) = -x is wrong, so Option 5 is not correct. Therefore, the answers are Options 1, 2, and 4 (or A, B, and D).

Hope this helps! I got it right on Edgen.

3 0
3 years ago
Looking for a step by step explanation for this question! I take the Math QRAS Accuplacer soon and practicing my math skills but
Liula [17]
The answer is 56 cookies because i did math in my head
6 0
2 years ago
What is <br> 8 + 2 × 6 - 2^4
chubhunter [2.5K]

Answer:

4

Step-by-step explanation:

8+2=10

10x2=60

60-2^4=4

the value of 2^4 is 56

8 0
3 years ago
Read 2 more answers
Create a equation and label the graph
Alona [7]

A. The linear equation is: y = 60x + 45

B. The graphed equation is shown in the attachment below.

<h3>What is a Linear Equation?</h3>

A linear equation is defined as, y = mx + b, where the initial value = b; unit rate = m; x and y are the variables.

A. In this situation given, we have:

  • Total cost = y
  • Number of months = x
  • Monthly charges = unit rate (m)= $60
  • Initial value (b) = $45

Substituting the values into y = mx + b, we would have the equation as:

y = 60x + 45

B. The graph of the equation is shown in the image attached below.

Learn more about linear equation on:

brainly.com/question/15602982

#SPJ1

5 0
2 years ago
What is the relationship between the ratios?
Lesechka [4]

Answer:

NOT PROPORTIONAL

Step-by-step explanation:

The given two fractions are: $ \frac{5}{8} $ and $ \frac{8}{10} $.

Proportional fractions are those which have the same value when to reduced to the simplest form.

Consider two fractions $ \frac{p}{q} $ and $ \frac{x}{y} $.

We say they are proportional if $ p : q = x : y $.

Or, if $ py = qx $ then we can say the fractions are proportional.

Here the fractions are:  $ \frac{5}{8} $ and $ \frac{8}{10} $.

LHS: 5 X 10 = 50.

RHS: 8 X 8 = 64.

Clearly they are not equal. So, we can say these two fractions are not proportional.

5 0
3 years ago
Other questions:
  • PLEASE PLEASE HELP!! I'm a bit behind with math, and you'd be doing me a huge huge favor! thank you so much in advance. (:
    5·2 answers
  • What is the value of 5 in 756? Write and draw to explain how you know.
    15·1 answer
  • Solution of 5b+6=21?
    12·2 answers
  • How much more is 500 seconds then 8 mins
    9·2 answers
  • Jade wants to verify that the expression 5(3x – 6) is equivalent to 15x – 30. She substitutes 2 into each expression and evaluat
    14·2 answers
  • 71.77×6.1 what the answer
    13·2 answers
  • Enter a digit in each box to complete the subtraction problem.
    13·1 answer
  • Giving brainliest to the CORRECT answer
    15·1 answer
  • Rewrite the equation below so that it does not have fractions.
    14·1 answer
  • Question 4 of 10
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!