Pages 2 and 3 I need help with. starting with number 9 on page two and number 1 on page 3

 

 

MATH-1326-THQ 1, 2016-08-24 15:07 (Printed First Name) (Printed Last Name) 

XXX0000
Net ID (First Letter of Last Name) 

001 – 502
Section Take Home Quiz 1
Penalty Instructions
1. Fill in the requested information on the line above.
2. This handout is due at the beginning of lecture on
Tuesday (08-30-2016). One point penalty per minute
late. Submit right away, don’t wait for the end of
class! THQ with missing name will receive 10 points
penalty.
3. This handout must be printed out and. You may print
it single sided or double sided. Failing to print costs
10 points.
4. This handout must be stapled. Failing to staple costs
10 points.
5. Your work must be hand written on this handout.
6. You must show all work. You may receive zero or
reduced points for insufficient work.
7. Your work must be neatly organized and written. You
may receive zero or reduced points for sloppy work.
8. Only a subset of these questions will be graded. You
will not be told which questions will be graded in advance. Due Date: Tuesday, 08-30-2016 Page 2 of 7
Problem 1 For functions,
f (x) = √
x
+ 5x and g(x) = x + 3
x−2 find,
1. (f + g)(x) 2. (f + g)(2) 3. (f − g)(x) 4. (f − g)(1) 5. (f g)(x) 6. (f g)(2)  
f
7.
(x)
g  
f
(2)
8.
g  
g
9.
(x)
f  
g
(1)
10.
f 11. (f â—¦ g) (x) 12. (f â—¦ g) (3) 13. (g â—¦ f ) (x) 14. (g â—¦ f ) (3) MATH-1326-THQ 1, 2016-08-24 15:07 Page 3 of 7
Problem 2 For functions,
f (x) = e(2x+3) and g(x) = ln (3x + 5)
1. (f + g)(x) 2. (f + g)(0) 3. (f − g)(x) 4. (f − g)(0) 5. (f g)(x) 6. (f g)(1)  
f
7.
(x)
g  
f
8.
(0)
g  
g
9.
(x)
f  
g
10.
(0)
f 11. (f â—¦ g) (x) 12. (f â—¦ g) (1) 13. (g â—¦ f ) (x) 14. (g â—¦ f ) (1) MATH-1326-THQ 1, 2016-08-24 15:07 Page 4 of 7 MATH-1326-THQ 1, 2016-08-24 15:07 Problem 3 Use the properties of logarithms to expand each of the following function.


(a)f (x) = ln 9x7 (x − 2)6 

2
(b)f (x) = ln 3x(3x − 4)2 e6x 
(c)f (x) = ln 
(d)f (x) = ln x2 (3x − 5)
3(2x + 1)e7x  √

5x3 2x + 3
(4x + 3)5 e−3x Page 5 of 7
Problem 4 Evaluate the limit for each of the following functions, if exist.
3x2 − 5
x→1 x2 − 3x − 4 (a) lim √
(b) lim x→4 x−3
2x − 8 x2 − 5x + 4
x→4
x2 − 20 (c) lim MATH-1326-THQ 1, 2016-08-24 15:07 Page 6 of 7
Problem 5 Evaluate the limit for each of the following functions, if exist.
(a) lim x→6 2x − 12
x2 − 4x − 12 √
(b) lim x−3
− 81 x→9 x2 x2 + 3x + 2
x→−2
x2 − 4 (c) lim MATH-1326-THQ 1, 2016-08-24 15:07 Page 7 of 7
Problem 6 Evaluate the limit for each of the following functions, if exist.
x4 − 3x2 + 3
x→∞ 4x3 + 2x + 1 (a) lim 2x3 − 3x2 + 13
x→∞ 5x + 7x2 − 9x3 (b) lim 12x3 − 2x + 3
x→∞
7x − 9x6 (c) lim MATH-1326-THQ 1, 2016-08-24 15:07

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