Mat}; iiis'liif I (gang (3%) i7 283%
Name:
5
g Qwesen: a
E Points: g
Score-3:
1. 5 poii} Draw the graph of a continuous function on [41} with f {21) 2 m1 and
f 1:} r 1 Cancéude than: there is a: mmm r: between 1 and 1 such that f C C} :
.
MATH
1041
Answer-Keys of Review Problems for Test 2
Spring 14
Section 3.2
y =
32.
ex (x 1)
x2
and tangent line is y = e
Section 3.3
f (x) =
2.
sin x
x cos x +
2 x
12.
y =
1
1 sin x
14.
y =
sec x(1 secx)
tan2 x
y = ex (cos x sin x), slope is 1, and tang
.
MATH
1041
Answer-Keys of Review Problems for Test 1
Spring 14
Section 2.2
Q2: Limit of f (x) as x approaches to 1 from left is 3, and limit of f (x) as x approaches
to 1 from right is 7. limit of f (x) at 3 does not exist as left and right limits are
di
MATH
1041
Answer-Keys of Review Problems for Final
Spring 14
Section 2.2
4.
(a)
(c)
(d)
32.
lim
x5
lim f (x) = 3,
(b)
x2
lim f (x) = 1,
x2+
lim f (x) does not exist since
x2
f (2) = 3,
ex
(x 5)3
(e)
= ,
since lim f (x) =
x0
lim f (x) = lim f (x),
x2
lim f