# Review for Test 2.7-3.2 - PowerPoint PPT Presentation

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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

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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