MATH 1210-90 Fall 2011
First Midterm Exam
INSTRUCTOR: H.-PING HUANG
LAST NAME
FIRST NAME
ID NO.
INSTRUCTION: SHOW ALL OF YOUR WORK. MAKE SURE
YOUR ANSWERS ARE CLEAR AND LEGIBLE. USE SPECIFIED
METHOD TO SOLVE THE QUESTION. IT IS NOT NECESSARY
TO SIMPLIFY YOUR FINAL ANSWERS.
PROBLEM 1
20
PROBLEM 2
20
PROBLEM 3
20
PROBLEM 4
20
PROBLEM 5
20
TOTAL 100
1
2
PROBLEM 1
(20 pt) Find the equation of the circle having the segment from (1, 3)
to (7, 11) as a diameter.
3
PROBLEM 2
(20 pt) Find the equation of the line which bisects the line segment
from (0, 0) to (2, 6) at right angles.
4
PROBLEM 3
(20 pt) Find
x2 + 3x − 10
x→2 x2 + x − 6
x−1
b. lim √
x→1
x−1
a. lim
5
PROBLEM 4
(20 pt) Find
t2 cos t
t→0 t + 1
sin 4x
b. lim
x→1 tan x
a. lim
6
PROBLEM 5
(20 pt) Find
x
+1
2x3
b. lim 3
x→−∞ x + 1
a. lim
x→∞ x2