Math 116 - Lab 10 Solutions - Fall 2011.
1. Use the method of disks to compute the volume of the solid of revolution generated
by the following areas:
a) Between y = 8 x/2, y = 2, y = 5, and x = 0; ab
Math 116 - Lab 5 - Fall 2011.
Applications of derivatives: related rates; minima and maxima of a function; Mean Value
theorem (Sections 3.4, 4.2, 4.4 and 4.5 of L/G).
You are to provide full solutions
Math 116 - Lab 3 - Fall 2011.
Rules for dierentiation, chain rule, derivatives of trig, exponential, hyperbolic, inverse
trig and inverse hyperbolic functions (Sections 3.3, 3.5-3.7 of L/G).
You are t
Math 116 - Lab 9 - Fall 2011.
Integration by Substitution, Average Value of a Function, Curve Length (Sections 6.1, 7.7
and 7.1 of L/G).
You are to provide full solutions to the following problems. Yo
Math 116 - Lab 9 Solutions - Fall 2011.
1. Compute the following integrals by substitution.
a) I = sin(3x) dx.
We can use the substitution u = 3x, which gives du = u (x)dx = 3dx and thus
du/3 = dx, so
Math 116 - Lab 10 - Fall 2011.
Volumes of Solids of Revolution (methods of disks, washers, and spherical shells); Work,
Energy, Force (Sections 7.2, 7.3 and 7.4 of L/G).
You are to provide full soluti
Math 116 - Lab 11 - Fall 2011.
Center of Mass, Hydrostatic Force (Sections 7.5 and 7.6 of L/G).
You are to provide full solutions to the following problems. You are allowed to collaborate with your
cl
MATH 116 - Lab 11 - Solutions
1. For the following lamina, compute i) the mass of the lamina, ii) the rst moment of
the lamina with respect to the y -axis, iii) the rst moment of the lamina with respe
Minor corrections to the solution of #6 a) and 12 a) of Lab #5.
6 a) The student should note that the presented solution assumes that b > 0. For a complete solution we
should also answer the question
MATH 116 137 Calculus 1, Assignment 5
Due Thu Oct 23
1: (a) Let f (x) = 5 x2 . Using the denition of the derivative as a limit, nd f (2) and
then nd the equation of the tangent line to the curve y = f
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MATH 116: Assignment 4 Solutions
due Monday, October 6, 2014 at 3:00pm
t
mg
1. The velocity of a falling skydiver can be modelled by v(t) =
1 e m where
m is the mass of the skydiver, g is the accelera
MATH 116: Assignment 5 Solutions
NOT due
1. Use the differentiation rules to find derivative of each function:
xix/1 - x2 . _1 1
(a) N11?) 2 (b) 33) : tan(351n 33) (C) f(5)
Solution:
(a)
3 (CH:5
Math 116: Assignment 7 Solutions
due Monday, November 3, 2014 at 3:00 pm
1. Find all critical numbers of the given functions.
(a) f (x) = 2x3 30x2 + 144x + 17 (b) h(p) = pp+1
2 4
Solution:
(a) f (x) =
MATH 116: Assignment 3 Solutions
due Monday, September 29, 2014 at 3:00pm
1. Let h(x) be the Heaviside function, dened (as in the textbook) as:
h(x) =
0
1
if x < 0
.
if x > 0
(a) Write the function f
Math 116: Assignment 8 Solutions
due Monday, November 10, 2014 at 3:00 pm
1. Two posts, one 12 feet high and one 28 feet high, stand 30 feet apart. A single stake is
to be placed in the ground between
Math 116 Midterm Exam
Fall 2014
Qatéélm m*
Last Name
First Name
Email
Student ID W Section
Instructor Section Division Instructor Section Division
A. Beltaos 001 (CHE) F. Dunbar 005 (ME)
M. Alwan 002