# 007B Sample Midterm 2

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**This is a sample, and is meant to represent the material usually covered in Math 7B 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

This problem has three parts:

(a) State both parts of the fundamental theorem of calculus.

(b) Compute .

(c) Evaluate .

## Problem 2

Evaluate

(a)

(b)

## Problem 3

The population density of a plant species is individual per square meter, where is the distance from the river, with for and for Construct a definite integral to calculate the number of plants along a section of the river of length

## Problem 4

Find the area of the region bounded by and

## Problem 5

Evaluate the integral:

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