Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.11x2 - 4xy + 7y2 - 8x + 8y = 0
A. x = 
x' - 
y' and y = 
x' + 
y'
B. x = 
(x' - y') and y = 
(x' + y')
C. x = -y' and y = x'
D. x = 
x' - 
y' and y = 
x' + 
y'
Answer: D
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Solve the problem.Let D be the smaller cap cut from a solid ball of radius 8 units by a plane 4 units from the center of the sphere. Set up the triple integral for the volume of D in rectangular coordinates.
A. 
B. 
C. 
D. 
Provide an appropriate response.Use the fact that tan x = x + 
+ 
+ 
+ ... for |x| < 
to find the first four terms of the series for ln(cos x).
A. - 
B. 1 + x2 + 
+ 
+ ...
C. 
+ 
+ 
+ 
+ ...
D. - 
Find the sum Sn of the first n terms of the geometric sequence. -8, -16, -32, -64, -128, . . . ; n = 9
A. -4108 B. -4051 C. -4088 D. -4086
Graph the function.A manufacturer wants to build a cardboard box in the shape of a cube. The side of the cube s as a function of the area A of cardboard to be used is given by 
He can use no more than 120 in.2 of cardboard, but wants to use at least 80 in2. Plot the graph of the function.
A. 
B. 
C. 
D. 