Substitution - Applied Calculus - Quiz, Exercises of Calculus

Some keywords in Applied Calculus are Exponential Model, Derivative, Frozen Pizza, Speeding Driver, Anti-derivative, Tangent. Some points of this exam are: Substitution, Antiderivative, Possible, Density Function, Distribution, Annual Income, Scales

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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Prof. S. Brick Math 120
Summer ’02 Applied Calculus; Quiz 15 section 11
0. Print your name:
1. Using the substitution u=x2+ 1, find the antiderivative Z(x2+ 1)8
·2x dx
2. Sketch a possible density function for the distribution of annual income among students
attending our college. Label the graph and its axes, showing the scales there. Show what
graphically corresponds to the percentage of students who earn more than $12,000 a year.
3. Does the function y=ex2(which has to do with normal distributions) have an
antiderivative ?

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Prof. S. Brick Math 120

Summer ’02 Applied Calculus; Quiz 15 section 11

  1. Print your name:
  2. Using the substitution u = x^2 + 1, find the antiderivative

(x^2 + 1)^8 · 2 x dx

  1. Sketch a possible density function for the distribution of annual income among students attending our college. Label the graph and its axes, showing the scales there. Show what graphically corresponds to the percentage of students who earn more than $12,000 a year.
  2. Does the function y = e−x

2 (which has to do with normal distributions) have an antiderivative?