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2 years ago

Please help I have 5 minutes

Mathematics

1 answer:

aleksley [76]2 years ago

3 0

Answer:

-21.1 and 24.1

Step-by-step explanation:

-8.2*4 + 3.9*3=-21.1

5.1*3 - (-2.2*4)=24.1

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3. The shutter speed ,S, of a camera varies inversely as the square of the aperture setting,f,. When f=8, S=125..

AlekseyPX

A) S = 2410
b) S = 2410÷4= 602.5
I hope you know

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2 years ago

Find the square root of 167281 by division method

tensa zangetsu [6.8K]

Answer:

square root of 167281 is 409

Here's the Step-by-step explanation using division:

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2 years ago

I REALLY NEED THIS ANSWER ASAP !!!

ANEK [815]

Answer:

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2 years ago

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Need help with Calculus 1 inverse trig functions

lidiya [134]

Answer:

$\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{2+2x^2+2x\sqrt{1+x^2}}$

Step-by-step explanation:

<u>The Derivative of a Function</u>

The derivative of f, also known as the instantaneous rate of change, or the slope of the tangent line to the graph of f, can be computed by the definition formula

$\displaystyle f'(x)=\lim\limits_{\Delta x \rightarrow 0}\frac{f(x+\Delta x)-f(x)}{\Delta x}$

There are tables where the derivative of all known functions are provided for an easy calculation of specific functions.

The derivative of the inverse tangent is given as

$\displaystyle (tan^{-1}u)'=\frac{u'}{1+u^2}$

Where u is a function of x as provided:

$y=3tan^{-1}(x+\sqrt{1+x^2})$

If we set

$u=(x+\sqrt{1+x^2})$

Then

$\displaystyle u'=1+\frac{2x}{2\sqrt{1+x^2}}$

$\displaystyle u'=1+\frac{x}{\sqrt{1+x^2}}$

Taking the derivative of y

$y'=3[tan^{-1}(x+\sqrt{1+x^2})]'$

Using the change of variables

$\displaystyle y'=3[tan^{-1}u]'=3\frac{u'}{1+u^2}$

$\displaystyle y'=3\frac{u'}{1+u^2}=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{1+(x+\sqrt{1+x^2})^2}$

Operating

$\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{1+x^2+2x\sqrt{1+x^2}+1+x^2}$

$\boxed{\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{2+2x^2+2x\sqrt{1+x^2}}}$

8 0

2 years ago

What is the slope of the line joining (8,8) and (12, 6)?

Anna71 [15]

Answer:

$\huge \boxed{ \boxed{ - \frac{1}{2} }}$

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

From the question we have

$m = \frac{6 - 8}{12 - 8} = - \frac{2}{4} = - \frac{1}{2} \\$

We have the final answer as

$- \frac{1}{2} \\$

Hope this helps you

6 0

2 years ago