Math 2574 Calculus III
NAME:
(Please print clearly)
Second Quiz (solutions)
02 Jun 2014
1. Write the standard equation for the sphere whose center is at (1, 2, 3) and whose
radius is equal to 3 .
Ans: (x 1)2 + (y + 2)2 + (z 3)2 = 32
2. Do the following fo
Math 2574 Calculus III
NAME:
(Please print clearly)
First Exam (solutions)
6 Jun 2014
In a nal answer, a scalar expression (whether numeric or algebraic) does not need to be simplied, even if
it is a component of a vector. A nal vector answer must be expr
Math 2574 Calculus III
NAME:
(Please print clearly)
Fourth Quiz (solutions)
11 Jun 2014
1. The following is a sketch of level curves of some function f (x, y). (a) Circle on the graph
the general area where graph of z = f (x, y) would be steepest. (b) Mar
Math 2574 Calculus III
NAME:
(Please print clearly)
Third Quiz (solutions)
4 Jun 2014
1. Given the acceleration a(t) = et , 3, 2t , the initial position r(0) = 0, 0, 1 and the
initial velocity v(0) = 0, 1, 1 , nd the velocity v(t) and position r(t) for t
Math 2574 Calculus III
NAME:
(Please print clearly)
First Quiz (solutions)
29 May 2014
All vector answers must be written in component form. The individual components do not
have to be simplied.
1. Find the the displacement vector P Q with starting point
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Math 2574 Calculus III
NAME:
(Please print clearly)
Fifth Quiz (solutions)
Due 12 Jun 2014
1. Find equations for the planes that are described below.
(a) The plane that contains the point (1, 2, 3) and is perpendicular to the vector
3, 2, 1 .
Ans: 3(x 1)