Sample Test 3 - Plane Trigonometry | MATH 128, Exams of Trigonometry

Material Type: Exam; Class: Plane Trigonometry; Subject: Mathematics; University: West Virginia University; Term: Spring 1999;

Typology: Exams

Pre 2010

Uploaded on 07/30/2009

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Math. 128 Sample test 3
1) Find dy/dx using implicit differentiation 2x3 - 3y2 = 4
2) Use differentials to approximate
a) (99.7)1/2
b) the change in value of function f(x) = 2x1/2 -3 as x
changes from 4 to 4.5.
c) ex. 34/769
choose one
3) Find interval(s) where f(x) = x3/3 - x2 + x - 3 is
increasing
4) Find horizontal and vertical asymptotes (if any) of
f(x) = (x2 + x)/[x(x - 1)].
5) Find absolute max. value of f(x) = x/(x2 + 1) on [0, 5].
6) Find relative max/min (if any) of f(x) = 3x4 - 2x3 + 4.
7) ex. 35/831
8) ex. 43/758, ex. 50/759, ex. 30/745 (choose one)
9) Solve for x, 12 - e0.4x = 3.
10) Find the equation of the t-line to the graph of f(x) =
e2x-3 at (2/3, 1).
11) Find derivative of f(x) = (ex + 1)/ex.
12) Find inflection point of f(x) = xe-2x.
13) Find second derivative of f(x) = 2(lnx)3/2.
14) Find the general antiderivative of (choose one)
a) f(x) = 3x - 1
b) f(x) = 7
c) evaluate dx
Choose any 11 exercises. This sample test does not
represent the whole material included in sections 11.5 -
14.1. It is absolutely necessary to complete all exercises
listed in syllabus as homework.

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Math. 128 Sample test 3

  1. Find dy/dx using implicit differentiation 2x^3 - 3y^2 = 4
  2. Use differentials to approximate a) (99.7)1/ b) the change in value of function f(x) = 2x1/2^ -3 as x changes from 4 to 4.5. c) ex. 34/ choose one
  3. Find interval(s) where f(x) = x^3 /3 - x^2 + x - 3 is increasing
  4. Find horizontal and vertical asymptotes (if any) of f(x) = (x^2 + x)/[x(x - 1)].
  5. Find absolute max. value of f(x) = x/(x^2 + 1) on [0, 5].
  6. Find relative max/min (if any) of f(x) = 3x^4 - 2x^3 + 4.
  7. ex. 35/
  8. ex. 43/758, ex. 50/759, ex. 30/745 (choose one)
  9. Solve for x, 12 - e0.4x^ = 3.
  10. Find the equation of the t-line to the graph of f(x) = e2x-3^ at (2/3, 1).
  11. Find derivative of f(x) = (ex^ + 1)/ex.
  12. Find inflection point of f(x) = xe-2x.
  13. Find second derivative of f(x) = 2(lnx)3/2.
  14. Find the general antiderivative of (choose one) a) f(x) = 3x - 1 b) f(x) = 7

c) evaluate ∫dx

Choose any 11 exercises. This sample test does not represent the whole material included in sections 11.5 - 14.1. It is absolutely necessary to complete all exercises listed in syllabus as homework.