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N76 [4]
2 years ago
11

HELP ME PLEASE ASAP ASAP

Mathematics
1 answer:
WITCHER [35]2 years ago
8 0
The answer to this question is £155
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For what values of x∈[0,2π] does the graph of y=x+2cosx have a horizontal tangent?
Katen [24]

Answer: x = pi/6 and x = pi/3.

Step-by-step explanation:

We have the function:

y = x + 2*cos(x)

It will have a horizontal tangent at the point where it's derivate is equal to zero.

Then first let's differentiate y.

y' = dy/dx = 1 - 2*sin(x).

Then we must find the value of x between 0 and 2*pi (or 0° and 360°)

y'(x) = 1 - 2*sin(x) = 0.

Let's solve that:

2*sin(x) = 1

sin(x) = 1/2.

We know that:

sin(30°) = 1/2.

and

Sin(120°) = 1/2

Then let's convert 30° into radians.

We know that:

pi = 180°.

Then:

pi/180° = 1.

30° = 30°*(pi/180°) = (30°/180°)*pi = (3/18)*pi = pi/6

120° = (120°/180°)*pi = (12/18)*pi = (1/3)*pi = pi/3.

Then the two values of x are: pi/6 and pi/3.

3 0
3 years ago
You go to see family in another city. So far you have gone 120 miles. The total trip is 360 miles. What fraction of the total tr
Elena L [17]

Answer:

1/3

Step-by-step explanation:

120/360 = 12/36 = 2/6 = 1/3

6 0
3 years ago
Year 2 revenue is 5,000,000 at 32%By what percent would you need to
azamat
x= \frac{3,000,000}{5,000,000} \cdot100\%-32\%= \frac{3}{5}\cdot100\%-32\%=60\%-32\%=28\%\\\\Ans.\ You\ need\ increase\ 28\%
7 0
3 years ago
1/5 ( 15 + 10k ) = please help and make sure your answer is accurate.
astra-53 [7]
The answer is 3 + 2k

This is because multiplying by 1/5 is like dividing each term by 5

10k + 15 = 5 • (2k + 3)

8 0
2 years ago
Can someone please help
Rudiy27

It is B or 2. Hope this helps


6 0
3 years ago
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