Calculus Practice Exams

Time: 1 hour


Problem 1. Find all local maxima and minima of the function

displaymath111

Problem 2. Use the method of Lagrange multipliers to find the point on the line of intersection of the planes

displaymath112

that is the closest to the origin.

Problem 3. Use the method of Lagrange multipliers to find local maxima of

displaymath113

under the constraints

displaymath114

Problem 4. Find the integral of

displaymath115

over the plane region G bounded by the lines y = x, y = -x and x = 4

Problem 5. Evaluate

displaymath116

If you would like to check your answers, click on Answer.


[Calculus] [CyberExam]

S.O.S MATH: Home Page

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Copyright 1999-2017 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour