M ATH 150 FALL 2010
S ECOND E XAM
N AME :
D ECEMBER 16, 2010
12:302:00 PM
C ODE :
P ROBLEMS
1. (10 points) Find the all points on the graph of the function y = 2 sin x + sin2 x at which tangent line i
M ATH 150
2011 S UMMER S ESSION
P ROBLEMS
1. Find the equation of the tangent line to the curve y = sin (sin x) at the point (, 0).
The slope of the tangent line to y = sin (sin x) at the point (, 0)
1. (4 points each) Evaluate the following limits or explain why they do not exist
x2 + 5 x 6
(x + 6)(x 1)
= lim
= lim (x + 6) = 7
x1
x 1
x1
x1
x1
(a) lim
or using LHopitals rule:
x2 + 5 x 6
(x2 + 5x 6
M ATH 150 FALL 2011
S ECOND E XAM
N AME :
D ECEMBER 23, 2011
3.004.30 PM
C ODE :
P ROBLEMS
1. (10 points) Find an equation of the tangent line to the curve y = x + cos x at the point (0, 1).
2. (12 po
MATH150 PRACTICE PROBLEMS FOR 2010 SUMMER SESSION
1. Find the domain of the function f (x) =
2x + |x|
, and sketch its graph.
x
2. (a) Find a formula for the inverse of f (x) = x2 + 1.
(b) Use the giv