Math 21A Answer Key
1 (32 pts.)
Practice Exam 1
Determine whether or not the following limits exist, and calculate them. If the limit does not exist as a number, state whether or not it can be written as or -.
x-3 (a) limx3 x2 -2x-
1.) Use the precise epsilon/delta denition of limit to prove the following statements. These
are writing exercises like those done in class. You must be clear, concise, and organized.
a.) lirn (3x + 5) z 35
b. l' 1 4
MAT 21A, Spring 2017
Homework Assignment 6
Due before the start of the class on Wednesday, May 31
Please read Sections 4.3 and 4.4 of the textbook before starting on the
Section 4.4: In first three problems, identify the c
1. A can of spray paint contains nitrogen gas as the propellant. The pressure of
the gas is 3.5 atm when the temperature is 20C. The can is left in the sun,
and the temperature of the gas increases to 50C.
MAT 21A, practice problems for the final exam
1. Compute the limits:
a) limx3 e1/x
b) limx3 ln(x 3)
8x5 7x3 +9
(3x2 1)(2x3 3)
2. Compute the derivatives of the following functions:
a) f (x) =
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