MAT137Y1 Midterm: TEST 1

Savannah State University Department of Mathematics MATH 2101 Calculus I Take Home Test Fall 2017 Name Please answer the following questions. Answers without justifying work will rec eive no credit 1) Find the general anti derivative of fx)- cosz -sinx+ 4x+5 f,f(x)dx= 10 FindAgo)dx f:f(x)dx-3, and f4g(x)dx=8. I: g(x)dx=12 2) Given: Use substitution. 3) Evaluate the integral: cos x b) dx sinx +1 5) Compute the integral: 4x3 + 3x2-1)dx

0/0 form Evaluate the following limits. lim x rightarrow 0 sin2 3x / x2

Homework 65: For each of the following DE's, verify whether the DE is exact. If it is, solve it. (a) (2x +3y)dx + (3x +2y)dy = 0 In x + In -(s + e) dy = 0 (d) (sin x In y) dx (e) (x + arctan y) dx = dy = 0 Department of Mathematics Ohio University - Since 1804 MATH3400. Lecture 29: Exact DEs Winfried Just. Ohio Universitv