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aleksklad [387]
3 years ago
11

For what values of x does the graph of f have a horizontal tangent? (Use n as your integer variable. Enter your answers as a com

ma-separated list.)
f(x) = x − 2 sin x
Mathematics
1 answer:
BartSMP [9]3 years ago
5 0
F(x) = x - 2sinx

To find for what values of x graph has tangents we need to differentiate function f(x).
f'(x) = 1-2cosx
Now, if we want to have horizontal tangents we need to make function f'(x) equal to 0 because at minimum or maximum of function f(x) tangent is horizontal.

1-2cosx = 0
cosx = 1/2
x = pi/3 + 2*n*pi      and
x = -pi/3 + 2*n*pi 

Explanation: cosx = 1/2 for both 60° and -60°. If we make one circle cosx will be equal to 1/2 for 420 and 300 degrees. Writing degrees in radians (using pi) we can write formulas above where 2*pi represents one full circle and n is an integer which represents how many circles we made.
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1

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You are hiking in the woods at a rate of 3 mph. The function y=3x describes how many miles y you walk in x hours. create an inpu
Finger [1]

Answer:

x ---- y

1 ---- 3

4 ---- 12

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Step-by-step explanation:

Given

y = 3x

Required

Create a table that represents this scenario

Because x represents time, x can not be negative. So, the domain of x is:

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Assume x = 1

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Assume x = 4

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Assume x = 6

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Hence, the table is:

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4 ---- 12

6 ---- 18

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3 years ago
I need to solve this question
Neporo4naja [7]
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