MATH 131-03, Fall, 2013
Exam 2(a)
Name: _
Do NOT use a calculator for this exam. You may leave e, a , or lnb in your answers.
1. (20pts) Compute exactly the following limits. You may leave e, a and in your answers. Show your
work for each limit.
3x 6 1
(1
MATH 131-03, Fall, 2013
Exam 1 - Part I
Show your work in details.
1. (10pts) The point P1, 2 lies on the curve y 2 .
x2
Name: _
2 2
2
x2
(1) Let Q be the point x,
. Give the slope of the secant line PQ: m sec
x2
x1
(2) Find the slope of the secant line
Math 131 Fall, 2010
Hour Exam
Name: _Solutions_
Please follow the instructions given for each problem. Show your work in detail and provide reasons
to support your answers.
1. (6pts) Let fx ln3 2x .
(1) Find the domain of fx in interval notation.
domain x
MATH 131-03, Fall, 2013
Exam 4
Name: _
Do NOT use a calculator for this exam. You may leave e, a , or lnb in your answers.
1. (10pts) Let fx 4 x .
(1) Find the linear approximation Lx of fx at a 0.
(2) Use the linear approximation Lx obtained in (1) to ap
MATH 131-03, Fall, 2013
Exam 3
Name: _
Do NOT use a calculator for this exam. You may leave e, a , or lnb in your answers.
1. (37pts) Find h x . It is not required to simply the answers.
(1) hx 3 x sinx 2
2 xe x
tan3x
(2) hx
(3) hx
3
secx 2 x
(4) hx 4
Math 131 Fall, 2010 Hour Exam 2 No Calculator
Name:
Please follow the instructions given for each problem. Show your work in detail and provide
reasons to support your answers.
1. (3pt) State the definition of derivative of a function fx at x a.
fa h fa
MATH 131-03, Fall, 2013
Exam 2
Name: _Solutions_
Do NOT use a calculator for this exam. You may leave e, a , or lnb in your answers.
1. (20pts) Compute exactly the following limits. You may leave e, a and in your answers. Show your
work for each limit.
3x
MATH 131-03, Fall, 2013
Exam 4
Name: _Solutions_
Do NOT use a calculator for this exam. You may leave e, a , or lnb in your answers.
1. (10pts) Let fx 4 x .
(1) Find the linear approximation Lx of fx at a 0.
f0 4 2, f x 1 4 x 1/2 , f 2 1
2
4
1
1
Lx 2 4 x
Math 131 Fall, 2010 Hour Exam 4 Part I - No Calculator
Name:
Solutions
Please follow the instructions given for each problem. Show your work in detail and provide
reasons to support your answers. You may leave fractions and radicals in your answers.
1. (2
MATH 131-03, Fall, 2013
Exam 3
Name: _Solutions_
Do NOT use a calculator for this exam. You may leave e, a , or lnb in your answers.
1. (37pts) Find h x . It is not required to simply the answers.
(1) hx 3 x sinx 2
2 xe x
tan3x
(2) hx
(3) hx
3
secx 2
Math 131 Fall, 2010 Hour Exam 3 - Part I No Calculator
Name: Solutions
Please follow the instructions given for each problem. Show your work in detail and provide
reasons to support your answers.
1. (20 pts) Find h x . You do not need to simplify h x .
(1