Purchase Solution

Calculus problems

Not what you're looking for?

Ask Custom Question

12) What is limit as h approaches 0 of [cos(pi/2 + h) - cos(pi/2)] / [h]
Ans is -1. Explain.

14) The area of the region in the first quadrant between the graph of y=x times the
sqrt of (4-x^2) and the x axis is? Ans is 8/3. Explain.

15) If x^2 + y^3 = x^3y^2, then dy/dx = ? Explain.

Ans is [3x^2y^2 - 2x] / [ 3y^2 - 2x^3y]

16) limit as x approaches infinity of x^2/xlnx =?
Ans is infinity? Explain.

15) Integral of lnx/x dx. Answer is (ln x)^2/ 2 + C. Explain

18) For which of the following functions does d^3y/dx^3 = dy/dx?
I. y=e^x
II. y=e^-x
III. y=sinx

Ans is I and II.

Purchase this Solution

Solution Summary

There are a variety of problems for calculus that involve limits, integrals and area

Solution Preview

Please see the attachment.

12) Let , we know . Thus we have

14) Let . Set , ...

Purchase this Solution

Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.