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Review for Test 2.7-3.2

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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  1. Review for Test 2.7-3.2

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

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

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

  5. Find the points on the curve where the tangent is horizontal. (1,-6) (-2,21)

  6. 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

  7. Find , if

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

  9. Using one-sided derivatives, show that the function does have a derivative at x=1.

  10. Determine when the following particle is speeding up .

  11. Determine the displacement of the particle during the first two seconds. - 4 units It is four units to the left of where it started!!

  12. Sketch the graph of a function where

  13. 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

  14. Find the derivative of .

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

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

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

  18. Find for

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