Math 106A Quiz 3: Fall 2011, Exercises of Calculus

Information about quiz 3 for math 106a, a college-level mathematics course, which was held in fall 2011. The quiz includes two problems: the first problem involves solving an initial value problem for a differential equation, and the second problem requires finding the antiderivative of given integrals using various methods. Students are expected to show their work for full credit.

Typology: Exercises

2012/2013

Uploaded on 03/16/2013

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Name:
Math 106A: Fall 2011
Quiz 3: October 10
Please write your final answer in the space provided. For full credit you must show your work. Good Luck!
1. Solve the initial value problem:
y0= 1 + y2, y(π/2) = 2/2(1)
2. Find the antiderivative using any method.
(a) Zx2sin(x3)dx (2a)
(b) Zsin1x dx (2b)

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Name:

Math 106A: Fall 2011

Quiz 3: October 10

Please write your final answer in the space provided. For full credit you must show your work. Good Luck!

  1. Solve the initial value problem:

y′^ = 1 + y^2 , y(π/2) =

  1. Find the antiderivative using any method.

(a)

x^2 sin(x^3 ) dx (2a)

(b)

sin

− 1 x dx (2b)