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Review for Test 2.7-3.2

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Review for Test 2.7-3.2

- Find an equation of the tangent line to the curve at the point (2, 1).

- The position function of a particle is given by
- When does the particle reach a velocity of 166 m/s?
- t=8seconds

- Determine the equation of the tangent line if
y+4=4(x-3) or y=4x-16

- Find the points on the curve
where the tangent is horizontal.

(1,-6) (-2,21)

If a ball is thrown vertically upward with a velocity of 200 ft/s, then its height after t seconds is

What is the maximum height reached by the ball?

1000ft

- Find , if

- Sketch the graph of a continuous function with f(0)=1 and

Using one-sided derivatives, show that the function does have a

derivative at x=1.

Determine when the following particle is speeding up .

- Determine the displacement of the particle
during the first two seconds.

- 4 units

It is four units to the left of where it

started!!

Sketch the graph of a function where

If an arrow is shot upward on the moon with a velocity of 55m/s, it height in meters after t seconds is given by .

Find the average velocity over the interval

[1,1.04].

54.9184

- Find the derivative of .

Write the equation of the normal line to the curve at x=0.

- Find the equation of the tangent line to the graph of at x=0.

- Determine the slope of the normal line to the graph at x=1.

- Find for