LEHIGH UNIVERSITY MATH 81 - CALCULUS W. BUSINESS APPLICATIONS
FINAL EXAM REVIEW
Multiple choice.
1:
(i)
Choose the correct evaluations where a and b are constants:
A.
b
a f (t) dt
b
d
dx a f (t) dt
b
d
dx a f (t) dt
b
d
dx a f (t) dt
B.
C.
D.
d
dx
Evaluat
Calculus with business applications, Lehigh U, Lecture 32 notes Spring 2014
1
Integration by substitution
1. Note the text comment pages 358-39 about trial and error for indenite integrals. We
can always check an integral by taking the derivative of the a
Calculus with business applications, Lehigh U, Lecture 29 notes Spring 2014
1
Riemann sums
1. In order to discuss approximating area with sums of rectangles (Reimann sums) and
then take a limit, we need to be able to use notation that makes working with s
Mathematics 81 - Calculus with Business Applications
Spring 2015, Lehigh University
Assigned problems to turn in for grading. Please write your name and section on the
paper. Write neatly and clearly explain your work. If you have discussed problems
with
Mathematics 81 - Calculus with Business Applications
Spring 2014, Lehigh University
Assigned problems to turn in for grading. Please write your name and section on the paper. Write
neatly and clearly explain your work. If you have discussed problems with
Calculus with business applications, Lehigh U, Lecture 13 notes Spring 2014
1
Chain Rule
d
1. Recall the power rule dx (xn ) = nxn1 . We can not apply this to composite functions.
For example, consider f (x) = (3x + 1)2 = 9x2 + 6x + 1. If we just tried th
LEHIGH U MATH 81 - CALCULUS W. BUSINESS APPLICATIONS
PRACTICE EXAM 1
You do not need to show work for the following multiple choice problems.
Circle your answer clearly.
1:
If Q(K) = K 2 L3 + x2 then Q(2L2 ) =
(i)
A. 4L7 + x2
B. 2L7 + x2
C. 2L5 L3 + x2
D.
LEHIGH UNIVERSITY MATH 81 - CALCULUS W. BUSINESS APPLICATIONS
PRACTICE EXAM 2
You do not need to show work for the following multiple choice problems.
Circle your answer clearly.
1:
(i)
If f (x) = ax2 + bx + c with a > 0 which of following is correct?
A.
Mathematics 81 - Calculus with Business Applications
Spring 2015, Lehigh University
Assigned problems to turn in for grading. Please write your name and section on the
paper. Write neatly and clearly explain your work. If you have discussed problems
with
Mathematics 81 - Calculus with Business Applications
Spring 2015, Lehigh University
Assigned problems to turn in for grading. Please write your name and section on the
paper. Write neatly and clearly explain your work. If you have discussed problems
with
Mathematics 81 - Calculus with Business Applications
Spring 2015, Lehigh University
Assigned problems to turn in for grading. Please write your name and section on the
paper. Write neatly and clearly explain your work. If you have discussed problems
with
Mathematics 81 - Calculus with Business Applications
Spring 2015, Lehigh University
Assigned problems to turn in for grading. Please write your name and section on the
paper. Write neatly and clearly explain your work. If you have discussed problems
with