Solve the problem by integration.Find the first-quadrant area bounded by 
and x = 2.
A. 4 ln 
B. 2 ln 
C. 4 ln 
D. 4 ln 49
Answer: C
Mathematics
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Solve the problem.Find the volume of the solid bounded by the elliptical cone 
+ 
= 
and the planes 
and 
(The area of an ellipse with semiaxes a and b is ?ab.)
A. 
? units3
B. 
? units3
C. 
? units3
D. 
units3
Mathematics
Parametrize the surface S.S is the cap cut from the paraboloid z = 
- 6x2 - 6y2 by the cone z = 
.
What will be an ideal response?
Mathematics
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = -8y3i + 8x3j + 3z3k ; C: the portion of the paraboloid x2 + y2 = z cut by the cylinder 
A. -384? B. 384? C. - 192? D. 192?
Mathematics
Express the number in scientific notation.0.000399
A. 3.99 x 10-3 B. 3.99 x 10-5 C. 3.99 x 104 D. 3.99 x 10-4
Mathematics