MATH 137 Problem Set 9
Due Friday March 25th, 2016
Please note the University closure on Friday March 25th
1. Section 4.8 #36
Use Newtons method to find the absolute maximum value
of the function f (x) = x cos x on [0, ], correct to six decimal places.
2.

Math 137
Assignment 2
1. If f (x) = x5 + x3 + x, nd f
1
Due: Friday, Sept 27th
(3).
2. Find a formula for the inverse of each function.
4x + 1
(a) f (x) =
2x + 3
1
(b) f (x) = x2 x, x .
2
x
x
e
e
(c) f (x) = x
e +e x
3. Find the exact value of each expres

Math 137
Assignment 3
Due: Friday, Oct 4th
1. Evaluate
(a) tanh 0
(b) sinh 1
(c) sinh
1
1
2. Prove that cosh x is an even function.
3. For the function f whose graph is given,
state the value of each limit if it exists. If
it does not exist, explain why.

Math 137
Assignment 5
Due Friday, Oct 18th
1. Find the derivative of the following functions.
ex
(a) f (x) =
3x + 1
x1/2 + ex
(b) g(x) =
1 ex
2. Find the equation of the tangent line to the function at the given point.
(a) f (x) = 3x2 + 1 at a =
(b) f (x)

Math 137
Assignment 7
Due: Friday, Nov 8th
1. Find the critical numbers of the function.
(a) f (x) = x5/3 + x2/3
(b) g(x) = 4x
tan x.
2. Find the absolute minimum value and absolute maximum value of the function on the
given interval.
(a) f (x) =
x
,
x2 x

Math 137
Assignment 4
Due Fri, Oct 11th
1. Find the limit, if it exists. If the limit does not exist, explain why.
|x 2|
(a) lim
x!2 x
2
2
2
(b) lim x sin
x!0
x
2 |x|
2 2+x
(c) lim
x!
1
x2 + 3x x
x!1 3x2
2x
(d) lim
(e) lim (ln(x + 1)
x!1
ln(x2
1)
p
x2 +

Math 137
Assignment 6
Due: Friday, Nov 1st
1. Find the derivative of the following functions.
(a) f (x) = |x|
(b) f (x) = ln | cos x|
x2 sinh x
(c) f (x) =
ex
(d) f (x) =
(x 3)3 (x + 4)2 (x 1)
(x + 1)2 (x2 + x + 1)3
(e) f (x) = 1 +
1 x
x
(f) f (x) = cos 1

Math 13'? Assignment 9 Due Friday, Nov 22nd
1. Find the value of the sum.
(a) $712+ 2)
i=3
3
(b) Zi(i+1)(i+2)
1:1
It . 3
1
2. Evaluate 1im E -£- 1]
71)00 iml n 'n,
3. Find the point on the curve 3} = that is closest to the point (3, 0).
4. A poster is to

MATH 137 Maple Lab 1 Assignment
Mathematical Functions and Bisection
Instructions
Complete the Maple Pre-Lab 1 - Mathematical Functions and Bisection in Maple before
attempting this lab. You can find the Pre-Lab on Learn under Content -> Maple
Complete th

MATH 137 Problem Set 3
Due Friday January 29th, 2016
1. Section 2.2 #18
Sketch the graph of an example of a function f that satisfies
all of the given conditions: lim f (x) = 2; lim+ f (x) = 0;
x0
x0
lim f (x) = 3; lim+ f (x) = 0; f (0) = 2; f (4) = 1.
x4

MATH 137 Problem Set 7
Due Friday March 11th, 2016
1. Section 3.9 #20 a)
A baseball diamond is a square with side 90ft. A batter hits
the ball and runs toward first base with a speed of 24ft/s.
At what rate is her distance from second base decreasing
when

MATH 137 Problem Set 8
Due Friday March 18th, 2016
1. Section 4.7 #54
Find an equation of the line through the point (3, 5) that
cuts off the least area from the first quadrant.
2. Section 4.7 #76
A rain gutter is to be constructed from a metal sheet of
w

MATH 137 Problem Set 10
Due Friday April 1st, 2016
1. Section 5.2 #28
Z b
b 3 a3
2
Prove that
x dx =
3
a
2. Section 5.2 # 48
Z 8
Z 4
Z 8
If
f (x) dx = 7.3 and
f (x) dx = 5.9, find
f (x) dx
2
2
4
3. Section 5.2 # 52
Z x
F (x) =
f (t) dt, where f is the fun

MATH 137 Problem Set 5
Due Friday February 12th, 2016
1. Section 3.1 #60
At what point on the curve y = 1 + 2ex 3x is the tangent
line parallel to the line 3x y = 5?
2. Section 3.1 #76
Suppose the curve y = x4 + ax3 + bx2 + cx + d has a tangent
line when

MATH 137 Problem Set 4
Due Friday February 5th, 2016
1. Section 2.7 #26
Sketch the graph of a function f where the domain is (2, 2),
f 0 (0) = 2, lim f (x) = , f is continuous at all numbers
x2
in its domain except 1, and f is odd.
2. Section 2.7 #30 a)
I

MATH 137 Problem Set 2
Due Friday January 22nd, 2016
1. Appendix D # 30
Find the remaining five trigonometric ratios if tan() = 2,
on 0 < < .
2
2. Appendix D # 70
Find all values of x in the interval [0, 2] that satisfy the
equation 2 cos(x) + sin(2x) = 0

MATH 137 Problem Set 1
Due Friday January 15th, 2016
1. Appendix A # 56
Solve the following inequality: 0 < |x 5| <
1
2
2. Appendix A # 64
Refer to the Rules for Inequalities on page A4. Use Rule 3
to prove Rule 5. That is: If we are given that a < b and

MATH 137 Problem Set 6
Due Friday March 4th, 2016
1. Section 3.10 # 26
Use a linear approximation or dierentials
(your choice) to
p
estimate the following number: 100.5.
2. Section 3.11 # 52
It can be shown that when a cable is hung between two
poles, it

Math 13? Assignment 10 Due: Friday, Nov 29th
1. Find the most general antiderivative of the function.
(a) f(CL) = 439 + $2 52:3
(b) g($] = 431111156 + xi
h(l) = H112 +~ 008(233)
(d) it) = 1W?
x
2. (a) If h(t) is the rate of change of a childs height