Driver - Applied Calculus - Quiz, Exercises of Calculus

Main points of this past exam are: Driver, Car, Brakes, Speed, Applied, Overestimate, Underestimate

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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Prof. S. Brick Math 120
Summer ’02 Applied Calculus; Quiz 12 section 11
0. Print your name:
1. A driver of a car steps on the brakes. Let v(t) denote its speed in feet per second, t
seconds after the brakes are applied. If v(0) = 105, v(1) = 75, v(2) = 20 and v(2.5) = 0,
then give an underestimate and an overestimate for how far the car travels as it comes to
a stop
2. Using the right-hand rule with 5 evenly-spaced rectangles set up (but do not compute)
the Riemann sum for R2
0ex2dx. Sketch a graph. showing the rectangles.
3. Suppose R9
3h(x)dx = 0. What can you conclude about h(x) ?

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Prof. S. Brick Math 120

Summer ’02 Applied Calculus; Quiz 12 section 11

  1. Print your name:
  2. A driver of a car steps on the brakes. Let v(t) denote its speed in feet per second, t seconds after the brakes are applied. If v(0) = 105, v(1) = 75, v(2) = 20 and v(2.5) = 0, then give an underestimate and an overestimate for how far the car travels as it comes to a stop
  3. Using the right-hand rule with 5 evenly-spaced rectangles set up (but do not compute)

the Riemann sum for

0 e

−x^2 dx. Sketch a graph. showing the rectangles.

  1. Suppose

3 h(x)^ dx^ = 0. What can you conclude about^ h(x)?