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MAT 161 Final Exam Numc [)1 mg mg! Q it !
Tuesday, June 21. 2005 J _
g 1. Calculate the following limits:
, .l x
m? . W . cos 5x ~ I 'e -, .
\gp a. hm x(cI -l) b, llm w-~- «P23 (5% ) (3)
L ~ .;_\1\ Han MO cos
MAT 161 Test3 ' V Name
ZOISpring 2012 >
Instructions: To receive credit for all answers, show all work clearly in the space provided.
6 1. Find the dimensions of a steel cylinder with an exterior surface of 1000 sq. ft; open-top, that has
I .
maximum vol
MAT 161 Final Exam
Wednesday, May 2, 2012
1.
Calculate the following limits:
a.
Name _
b.
2.
Use the definition of the derivative to find f(x) when f(x) = 7x2 +5x+3.
3.
Give a delta-epsilon argument that
4.
Tell why f(x) = (x2)1/2 is not differentiable at
MAT 161 Final Exam
Wednesday, Dec. 12, 2012
1.
Calculate the following limits:
a.
Name _
b.
2.
Use the definition of the derivative to find f(x) when f(x) = 5x2 +3x+7.
3.
Give a delta-epsilon argument that
4.
Tell why f(x) = x+7 is not differentiable at x
MAT 161 Final Exam
Wednesday, Dec. 12, 2012
1.
Name _
Calculate the following limits:
a.
lim
x5
7 x 2 33x 10
3x 2 14 x 15
b.
lim
x
12 x 2
4x
3x 2
2.
Use the definition of the derivative to find f(x) when f(x) = 5x2 +3x+7.
3.
Give a delta-epsilon argumen
MAT 161 ' - Test4 Version 1 Name
Spring, 2012 I '
r Show all Work for credit purposes. V
' 1. Evaluate the Riemann sum for (x) = 8x 2 on 2 s x $10 , with four subintervals, taking the sample
points to be the midpoints.
3 119;}: "
~\ ('5? )0 a - I
9L _ V
1
M
MAT 161 Test 4
Sample, Fall 20l0
Show all work for credit purposes.
1. Evaluate the Riemann sum for f (x) = 19 x2 on 2 s .r S 8, with four subintervals, taking the sample
points to be the I I
(, i; w w ' ~_,~y._a*4
r" '1". .7! L_ fl". 2. I
p" , V,
MAT 161 Test 2 N.me
Version 2
Spring 2010
Instructions: To receive credit for all answers, show all work clearly in the space provnded.
1. Let f(x) =71:3 4/g_x+l5 + 20x
a. Find f'(x). 1
gm 2 m1. llifwl-MZ-Hp +9.0
= 2m 41mm) +3.0
b. Find the equation of
MAT 161 Test 1 Name #ff
Spring 2010 '
Instructions: To receive credit for all answers, show all work clearly in the space provided.
1. Find the indicated limits.
. x2+3x10 . x2+3x10
a_ 11m 2- b 11m 2
HZ 2x -11x+14 ' Hl 2x 11x+14
2. Suppose that for al
MAT 161 Spring 2012, Test 1, Page 3 of 3
6. Suppose a stone is thrown vertically upward with an initial velocity of 64 ft/s from abridge 80 feet above a
river. By Newtons Laws of Motion, the position of the stone measured as the height above the river af