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3 years ago

Solve the following problem.

Mathematics

1 answer:

SVEN [57.7K]3 years ago

7 0

Answer:

What class is this for

Step-by-step explanation:

Bc I might know this

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Find the area of a circle with a radius of 5 feet. Please help

pav-90 [236]

Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (5)^2

A = 25 pi

Using 3.14 for pi

A = 78.5 ft^2

Using the pi button

A =78.53981634 ft^2

4 0

4 years ago

2x + 9<br> 8x + 1<br> Solve for x

Leto [7]

2x+9+8x+1=180

2x+8x+9+1=180

10x+10=180

10x=170

X=17

8 0

3 years ago

Y=x.arctan(x)^1/2. find dy/dx. pls show steps

Whitepunk [10]

$y=x(\arctan x)^{1/2}$

Use the product rule first:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dx}{\mathrm dx}(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

Use the chain rule to compute the derivative of $(\arctan x)^{1/2}$ . Let $z=(\arctan x)^{1/2}$ and take $u=\arctan x$ , so that by the chain rule

$\dfrac{\mathrm dz}{\mathrm dx}=\dfrac{\mathrm dz}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

$\dfrac{\mathrm dz}{\mathrm du}=\dfrac{\mathrm du^{1/2}}{\mathrm du}=\dfrac12u^{-1/2}$

$\dfrac{\mathrm du}{\mathrm dx}=\dfrac{\mathrm d\arctan x}{\mathrm dx}=\dfrac1{1+x^2}$

$\implies\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}(1+x^2)}$

So we have

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+\dfrac x{2(\arctan x)^{1/2}(1+x^2)}$

You can rewrite this a bit by factoring $(\arctan x)^{-1/2}$ , just to make it look neater:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}}\left(2\arctan x+\dfrac x{1+x^2}\right)$

3 0

3 years ago

Help me please ASAP!

Goryan [66]

Probably graph W.....

3 0

4 years ago

Read 2 more answers

Determine the range of the function? Y=2x(squared) +3

coldgirl [10]

The range of y = x^2 is the set of nonnegative numbers. The same applies to y = 2x^2 as well. Shift everything up three units to get y = 2x^2+3

So the range is the set of numbers y such that $y \ge 3$

The final answer is choice C.

5 0

3 years ago