Math 105 Test 1 (75 points)
Name:
•Check that you have 9 questions on four pages.
•Show all your work to receive full credit for a problem.
1. (9 points) Let f(x)=7−4x2. Use the limit definition of the derivative to find f0(3).
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Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Math 105 Test 1: Derivatives, Differential Equations, and Calculus Applications, Exams of Calculus
The first test for math 105, covering topics such as derivatives using the limit definition, differential equations, and calculus applications. Students are required to find derivatives, determine if given functions are solutions to differential equations, and solve initial value problems. Additionally, there is a problem about the rate of change of the volume of a balloon as it is being inflated.
Typology: Exams
2012/2013
1 / 8
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Math 105 Test 1 (75 points)
Name:
- Check that you have 9 questions on four pages.
- Show all your work to receive full credit for a problem.
- (9 points) Let f(x) = 7 − 4 x^2. Use the limit definition of the derivative to find f′(3).
- (9 points) Solve the IVP (initial value problem): y′^ − 2
x =
3 x^2
; y(4) = 11.