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 




 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