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YOUR NAME AND STUDENT
Page 8 of 11
. 2 dy
20. Ify + msmy : as ,nd 3 when as = 0. [8 marks]
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Page7of11 YOUR NAME AND STUDENT #
19. Use the Intermediate Value Theorem to show that the equation (3% = 1 x has a root in the interval
(0, 1). [8 marks]
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Page9of11 YOUR NAME AND STUDENT #
22. Find an equation of the tangent line to the graph of y = In a: which passes through the point (0,0).
Note: (In x) 1/:3. [8 marks]
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Calculus 1000A Fall 2015
Written Assignment 2
Due Date: Oct. 07, 2015 (in class)
Name:
Section: 008
There are two problems in this assignment. Each problem can earn you a maximum of 10 points.
Attach extra sheets if necessary.
Problem 1. Let f be a func
Calculus 1000A Fall 2015
Written Assignment 3
Due Date: Nov. 02, 2015 (in class)
Name:
Section: 008
There are two problems in this assignment. Each problem can earn you a maximum of 10 points.
Attach extra sheets if necessary.
Problem 1. Due to a bizarr
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Page6of11 YOUR NAME AND STUDENT #
Show your work for questions 17 - 22. Unjustied answers may receive little or no credit.
17. If F(x) = f(4f(x), f(0) = 0 and f(0) = 5, evaluate F(0). [8 marks]
LAT cam = 413,3).Tm F
Calculus [000A M\&-\-em\ks\ IE 06* ZOV;
Page40fll YOUR NAME AND STUDENT #
F(6\ =ossx
= Fufsr): sm
F'(9\ s-aasc.
14) (9) = Sm
d5
9. If F(0) = sin 9, then (9)
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10. lim arctanmz
g (B) -1
CALM; 1000A (Mam-ted 1% odr 2017s
Page30f11 YOUR NAME AND STUDENT #
Problems 1- 16 are multiple choice. Enter the best answer on the ScanTron sheet using an HB or # 2 pencil.
You do not need to show your work. In addition to entering your response on th
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PageSofll YOUR NAME AND STUDENT
14. If f (:12) is continuous on [1,9], f (1) = 2 and f(9) = 1, which of the following statements is
necessarily true?
(A) there is at most one x in the interval [1,9] such that f (x) = 0
t
Calculus 1000A Fall 2015
Written Assignment 1
Due Date: Sept. 18, 2015 (in class)
Name:
Section: 008
There are two problems in this assignment. Each problem can earn you a maximum of 10 points.
Attach extra sheets if necessary illegible answers will adv
THE UNIVERSITY OF WESTERN ONTARIO (WESTERN UNIVERSITY)
LONDON
CANADA
DEPARTMENT OF APPLIED MATHEMATICS
Calculus 2503b/2303b
Vector Calculus II
January-April 2017
Instructor: V.A. Miransky, MC 271, tel: 519-661-2111 ext. 88708, email: [email protected]
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The University of Western Ontario
Departments of Applied Mathematics and Mathematics
Calculus 1301B - Winter 2014
Instructors:
Applied Mathematics: R. Corless, J. Middeke, T. MoschandreouG, G. Wild
Mathematics: B. Bryan (Kings), S. Ditor, W. Grey, M. Pins
Assignment 1
1. If R = [-1, 3] X [0, 2], use a Riemann sum with m = 4, n = 2 to estimate the value of
(y2 2x2)dA . Take the sample points to be the upper left corners of the rectangles.
R
2.
a) Estimate the volume of the solid that lies below the surface