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$f(x) = {x}^(2) + 4x - 5$ ; >-2Find $\frac{d {f}^( - 1) }{dx}$ at x=16

Please show solving

Answers

Answer 1

Answer:

The inverse function theorem says

$(\mathrm df^(-1))/(\mathrm dx)(16)=\frac1{(\mathrm df)/(\mathrm dx)(f^(-1)(16))}$

We have

$f(x)=x^2+4x-5$

defined on $x>-2$ , for which we get

$f^(-1)(x)=-2+√(x+9)$

and

$f^(-1)(16)=-2+√(16+9)=3$

The derivative of $f(x)$ is

$f'(x)=2x+4$

So we end up with

$(\mathrm df^(-1))/(\mathrm dx)(16)=\frac1{(\mathrm df)/(\mathrm dx)(3)}=\frac1{10}$

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A researcher calls 1,800 randomly chosen residential telephone numbers, and then asks to speak with an adult member of the household. The researcher asks, “How many 3D movies have you watched in a movie theater in the past 12 months?”4. What source of bias is likely for the question asked?

Answers

The bis which is likely for the given question by the researcher is response bias.

Given that,

A researcher calls 1,800 randomly chosen residential telephone numbers, and then asks to speak with an adult member of the household.

The researcher asks, “How many 3D movies have you watched in a movie theater in the past 12 months?”.

Response bias happens when the people who needs to respond does this in an inaccurate way or wrongly.

Here almost no people will be correctly remembering the exact number of movies they watched in a year.

Also, they may be volatile to social desirability and may say less or more number of movies.

So there happens a response bias.

Hence the correct bias is response bias.

Learn more about Response Bias here :

brainly.com/question/14493813

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If a recent survey shows that of the 600 parrot owners surveyed, 200 successfully trained their birds to say words, then out of a population of 1,500, people have trained their birds

Answers

Hello!

You first have to find the percentage of the tested group that trained their birds

200 / 600 = 0.333...

Multiply this by the amount of people

200/ 600 * 1500 = 500

The answer is 500 people

Hope this helps!

H(t) = 50 - t/h
h(35) =

Answers

Answer:h(35)=50-35/h

Step-by-step explanation:

h(35)=50-35/h

Can anyone help me with this? NO LINKS PLEASE, giving brainliest.

Answers

Answer: 53.55 inches

=====================================================

Explanation:

Consider a full circle with diameter 15 inches

The circumference, aka distance around the circle's edge, would be...

C = pi*d

C = 3.14*15

C = 47.1

However, we want only half the curved distance as the diagram shows.

C/2 = (47.1)/2 = 23.55

The curved distance is roughly 23.55 inches.

Then we add on the two exterior sides of 15 inches each to complete the full perimeter of the shape: 23.55+15+15 = 53.55

Notes:

The vertical straight line connecting the semicircle and the triangle is not part of the perimeter. We only consider the exterior edges.
The result 53.55 is approximate since pi = 3.14 is approximate

You drop a rock off a bridge. The rock’s height, h (in feet above the water), after t seconds is modeled by h = -16t^2 + 541. What is the height of the rock after 2 seconds?

Answers

For this case we have the following equation:
$h = -16t ^ 2 + 541$
To answer the question, what we must do is evaluate the function for t = 2.
We have then:
$h = -16 (2) ^ 2 + 541$
Rewriting we have:
$h = -16 (4) + 541h = -64 + 541h = 477 feet$
Answer:
The height of the rock after 2 seconds is:
$h = 477 feet$

Verify the linear approximation at (0, 0) forf(x, y) = 7x + 4
5y + 1
â 4 + 7x â 20y

Let f(x, y) = 7x + 4 5y + 1 . Then fx(x, y) = ________