1) The position of an object moving along a straight line is s(t) = t^3 −...

1) The position of an object moving along a straight line is s(t) = t^3 − 15t^2 + 72t feet after t seconds. Find the object's velocity and acceleration after 9 seconds.

2) Given the function f (x ) =−3 x 2 + x − 8 ,
(a) Find the equation of the line tangent to f(x ) at the point (2, −2) .

(b) Find the equation of the line normal to f(x ) at the point (2, −2)

3) Differentiate the following functions.
(a) f (t) = 5t^3 lnt
(b) y =x^2/2 x + 1

4) Differentiate the following function.
f (x ) =sin x/1 + cos x

5) Differentiate the following functions.
(a) g ( x) = ( 4 x^2 + 3)^8
(b) f (x ) = cos( 7e^x − 4)

6) Differentiate y =cos5 x/x^2

7) Differentiate the following functions.
(a) g ( x) = ln( 5 x^2 −3)
(b) y = ln(cos x)

Expert Solution

milcah answered 2 years ago

The position function of an object moving along a straight line is given by the function...

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