Take Home Final Exam Review Sheet -Calculus I
Instructions. Get to work. Good Luck?!
1. Find the rst and the second derivative for
1=3
(a) f (x) = x2=3 (5 x)
x
(b) f (x) = p
x2 + 1
2. Find the equations of both lines through the point (2; 3) that are tang
Name:
Math 261 - Final Exam
Duration: 120 minutes - 08/06/2015
1. The region, R, shown below, is bounded by the curves y = x2 /4, y = 2x2 , and y = x + 3.
Let S be the solid generated by revolving the region R about the x-axis.
(a) (10) Compute the area o
Name:
Math 261 - Final Exam
12/14/2015
Directions Read each question carefully. Show all the work leading to your answer. Partial
credit is only awarded to work shown that will eventually lead to the correct solution. The points
for each question are writ
Name:
Math 261 - Test 2
03/29/2016
Directions Read each question carefully. Show all the work leading to your answer. Partial
credit is only awarded to work shown that will eventually lead to the correct solution. The points
for each question are written
1. (15 points) Find an equation of the line tangent to the curve x2 y xy 2 = 2 at the point(1, 1).
(a) (5 points) Find an expression for y .
d 2
[x xy 2 = 2]
dx
d 2
d
d
(x y)
(xy 2 ) =
(2)
dx
dx
dx
2xy + x2 y (y 2 + x(2y)y ) = 0
y =
y2
x2
2xy
2xy
(b) (