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3 years ago

Write the equation for the inverse of the function. y = sin x

Mathematics

2 answers:

MakcuM [25]3 years ago

7 0

Answer:

The answer is $\sin^{-1}$ x = y

Step-by-step explanation:

We need to find the inverse of the function

y = sinx

Taking $\sin^{-1}$ on both sides

$\sin^{-1}$ y = $\sin^{-1}$ sinx

$\sin^{-1}$ y = x

Substituting x to y and y to x

$\sin^{-1}$ x = y

This is the required inverse of the function

The graph of the function and its inverse is symmetric about y = x

The answer is $\sin^{-1}$ x = y

NemiM [27]3 years ago

6 0

Answer:

y = Arcsin x

Step-by-step explanation:

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3 years ago

Please help if you can :)

mojhsa [17]

a) n² + 6

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1² + 6 = 1 + 6 =7

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2² + 6 = 4 + 6 = 10

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3² + 6 = 9 + 6 =15

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b) 3n²

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Hope this helps!

6 0

3 years ago

Determine the location and values of the absolute maximum and absolute minimum of given function: f(x)= ( -x+2)^4, Where 0<=x

jeyben [28]

Answer:

The absolute maximum and the absolute minimum are (0, 16) and (2, 0).

Step-by-step explanation:

First, we obtain the first and second derivatives of the function by chain rule and derivative for a power function, that is:

First derivative

$f'(x) = -4\cdot (-x+2)^{3}$

Second derivative

$f''(x) = 12\cdot (-x + 2)^{2}$

Then, we proceed to do the First and Second Derivative Tests:

First Derivative Test

$-4\cdot (-x+2)^{3} = 0$

$-x + 2 = 0$

$x = 2$

Second Derivative Test

$f''(2) = 12\cdot (-2+2)^{2}$

$f''(2) = 0$

The Second Derivative Test is unable to determine the nature of the critical values.

Then, we plot the function with the help of a graphing tool. The absolute maximum and the absolute minimum are (0, 16) and (2, 0).

3 0

3 years ago

Write the equation for the inverse of the function. y = sin x​

Write the equation for the inverse of the function. y = sin x