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Galina-37 [17]
4 years ago
7

I need help, please

Mathematics
1 answer:
Advocard [28]4 years ago
8 0

Answer:

The equation for h in terms of V,r and π is 3V/πr².

Step-by-step explanation:

Given:

The formula for the volume of a cone is V=\frac{1}{3}\pi r^{2}h.

Now, for solving the equation we put the formula of cone,

V=\frac{1}{3}\pi r^{2}h.

Multiplying both sides with 3 we get :

3V=\pi r^{2}h

Then, dividing both sides by π we get:

\frac{3V}{\pi}=r^{2}h.

And, dividing both sides by r² we get:

\frac{3V}{\pi r^{2} }=h.

Therefore, the equation for h in terms of V,r and π is 3V/πr².

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First change to standard form of first order linear differential equation and then by finding the appropriate integrating factor
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Answer:

Step-by-step explanation:

Given is a Differential equation as

xy' + y = lnx ; y(e)=1

To bring it to linear form we can divide the full equation by x

y'+\frac{y}{x} =\frac{ln x}{x}

This is of the form

y'+p(x) *y = q(x)

p(x) = 1/x

So find

e^{\int\limits{\frac{1}{x} } \, dx } = e^{ln x} = x

Solution is

xy = \int  {x*lnx /x } \, dx =xln x -x +C

Use the initial value as y(e) =1

e= eln e -e+C\\C=e

So solution is

xy =xln x -x+e

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Which is bigger one hundred or ten squared?
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Each week, mr. jones goes to the grocery store. mr.jones estimates that he will spend $120 when he goes to the grocery store thi
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Estimated amount that Mr. Jones thought would be spending each week for grocery = $120
Amount actually spent by Mr.Jones in the grocery store = $94
Error in calculation of the amount of spending = (120 - 94) dollars
                                                                           = $26
Percentage error in calculation = (26/120) * 100
                                                   = (13/6) * 10
                                                   = 130/6
                                                   = 21.666 percent
                                                   = 21.67 percent
So there is 21.67% error in the calculation of Mr. Jones. I hope you got the answer you were looking for.

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3 years ago
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