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Involve the Variables - Calculus - Exam, Exams of Calculus

Amity University - BiharCalculus

This is the Exam of Calculus Indefinite Integrals, Limits, Explanation, Curve Parametrized, Involve the Variables etc. Key important points are: Involve the Variables, Limits, Justify, Definition, Proof, Compute the Derivative, Maximum, Minimum Value, Function, Real Number

Typology: Exams

2012/2013

Uploaded on 02/18/2013

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Simon Fraser University
Math 151-3, Spring 2004
Test 1
Time: 50 minutes 4 February 2004
Last Name Given Names
Student Number
Instructions
•Do not open this test booklet until instructed to do so.
•Print your name and write your student number above.
•No calculators may be used. Any student found with a calculator will receive a mark of 0 immediately.
•Full marks will be awarded for correct, complete and well-organized solutions.
•You may use the back of any page for rough work.
•There are 7 pages in this test booklet.
Question Marks
1 /8
2 /4
3 /8
4 /4
5 /4
6 /2
Total /30
1
pf3
pf4
pf5

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Math 151-3, Spring 2004Simon Fraser University Test 1 Time: 50 minutes 4 February 2004

Last Name Given Names

Student Number Instructions

  • Do not open this test booklet until instructed to do so.
  • Print your name and write your student number above.
  • No calculators may be used. Any student found with a calculator will receive a mark of 0 immediately.
  • Full marks will be awarded for correct, complete and well-organized solutions.
  • You may use the back of any page for rough work.
  • There are 7 pages in this test booklet. Question Marks 1 / 2 / 3 / 4 / 5 / 6 / Total /
  1. Find the following limits if they exist. Show and justify your work. (a) [4 marks] (^) ylim→ 1 √y^ y + 3^ −^1 − 2

(b) [4 marks] (^) xlim→ 0 x + tan^ sin^ x x

  1. (a) [4 marks] Find f ′^ (x) if f (x) = 1 x −^ x^3 +^ e^2 −^1

(b) [4 marks] Compute the derivative of g (t) = √t cos √t + 1

  1. [4 marks] Find the maximum and minimum value of the function f (x) = x^3 + 6x^2 − 15 x + 4 on the interval [0, 2].
  1. [2 marks]continuous functions to show that Let r be an arbitrary positive real number. r has a square root. Show and justify your work. Apply the intermediate value property of