# Difference between revisions of "009B Sample Midterm 1"

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− | '''This is a sample, and is meant to represent the material usually covered in Math 9B for the midterm. An actual test may or may not be similar. Click on the''' '''<span class="biglink" style="color:darkblue;"> boxed problem numbers </span> to go to a solution.''' | + | '''This is a sample, and is meant to represent the material usually covered in Math 9B for the midterm. An actual test may or may not be similar.''' |

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+ | '''Click on the''' '''<span class="biglink" style="color:darkblue;"> boxed problem numbers </span> to go to a solution.''' | ||

<div class="noautonum">__TOC__</div> | <div class="noautonum">__TOC__</div> | ||

## Revision as of 13:35, 18 April 2016

**This is a sample, and is meant to represent the material usually covered in Math 9B for the midterm. An actual test may or may not be similar.**

**Click on the** ** boxed problem numbers to go to a solution.**

## Problem 1

Evaluate the indefinite and definite integrals.

- a)
- b)

## Problem 2

Find the average value of the function on the given interval.

## Problem 3

Evaluate the indefinite and definite integrals.

- a)
- b)

## Problem 4

Evaluate the integral:

## Problem 5

Let .

- a) Compute the left-hand Riemann sum approximation of with boxes.
- b) Compute the right-hand Riemann sum approximation of with boxes.
- c) Express as a limit of right-hand Riemann sums (as in the definition of the definite integral). Do not evaluate the limit.

**Contributions to this page were made by Kayla Murray**