Eventually - Applied Calculus - Quiz, Exercises of Calculus

Main points of this past exam are: Eventually, Bigger, Function, Possible Values, Exponential, Oscillates, Function

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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Prof. S. Brick Math 120
Summer ’03 Applied Calculus; Quiz 4 section 21
0. Print your name:
1. Which function is eventually bigger and why, f(x) = 1000 ·x3or g(x) = .0002 ·x2?
2. Suppose f(5) = 10 and f(15) = 60. Find two possible values for f(25), one if fis linear
and the other if fis exponential. Explain.
3. The depth of water in a tank oscillates once every 3 hours, with the smallest depth
being 2 feet and the largest being 10 feet. Using the sine function, find a possible formula
for depth as a function of time.

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Prof. S. Brick Math 120

Summer ’03 Applied Calculus; Quiz 4 section 21

  1. Print your name:
  2. Which function is eventually bigger and why, f (x) = 1000 ·

x^3 or g(x) =. 0002 · x^2?

  1. Suppose f (5) = 10 and f (15) = 60. Find two possible values for f (25), one if f is linear and the other if f is exponential. Explain.
  2. The depth of water in a tank oscillates once every 3 hours, with the smallest depth being 2 feet and the largest being 10 feet. Using the sine function, find a possible formula for depth as a function of time.