Assignment

MTH 160 Calculus

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ASSIGNMENT 1

DUE: FRIDAY JUNE 8, 2018

Student Name:

Student Number:

Answer each of the following. Show your work

Question 1: Find the derivatives of the following: (4 marks each)

a) 1 2

tan 1y x −

= +

b) 1

2

3 cot

9 1

x y

x

− =

−

c) log 10 1y x x= +

MTH 160 Calculus

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d)

2

2

1 ln

1

x y

x

− =

+

e) y = ln(sin(x² + 1))

MTH 160 Calculus

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Question 2: Find the maximum and minimum points for the equation: 4 3 2

3 2 3y x x x= + − (3 marks)

Question 3: Find the inflection point(s) for the following function: 5

5 5y x x= − + (3

marks)

Question 4: Find the maximum, minimum, and inflection points of the function

y = sin x cos x between x = 0 and x = 2. (4 marks)

MTH 160 Calculus

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Question 5: Graph the function: 2 2

8 ( 1)y x x= − . Finding the critical points (Max.

Min), intervals over which the function is decreasing/increasing, inflection points,

concavity and points of intercepts. Use graph paper on next page, (20 marks)

MTH 160 Calculus

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