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2 years ago

10

A rock was thrown upward into the air. The height, in meters, of the rock above the ground t seconds after being thrown can be d

etermined by the expression −4.9t2+30t +10. What is the meaning of the 10 in the expression?

1 answer:

leonid [27]2 years ago

5 0

Answedka

Step-by-step explanatio

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The slope f′(x) at each point (x,y) on a curve y=f(x) is given, along with a point (a,b) on the curve. Use this information to f

Montano1993 [528]

$f'(x)=\dfrac{4x}{1+7x^2}$

Integrating gives

$f(x)=\displaystyle\int\frac{4x}{1+7x^2}\,\mathrm dx$

To compute the integral, substitute $u=1+7x^2$ , so that $\frac27\,\mathrm du=4x\,\mathrm dx$ . Then

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$\boxed{f(x)=\dfrac27\ln(1+7x^2)+10}$

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