January 16, 2017

Homework Help: Calculus

Posted by Sarah on Thursday, April 10, 2014 at 4:44pm.

I was wondering if you would be able to check if my answers are correct:

1. An oil tank is being drained for cleaning. After t minutes there are v litres of oil left in the tank, where v(t)=40(20-t)^2, 0<=t<=20. Determine the rate of change at the time t=10.

For this question i got -400L/min by substituting 10 into the equation.

2. Consider the function f(x)=5/2+x.
a) Determine the slope at the point with x-coordinate 1

To answer this question I used the formula m=lim h->0 f(x+h)-f(x)/h. Then I got lim h->0 (5/3+h)-(5/3)/h and my answer was 1/9.

b) Determine the equation tangent to the curve f(x) at the point with x-coordinate 1

my answer for this is y=1/9x+14/9

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