Solve the problem.Write an iterated triple integral in the order 
for the volume of the region in the first octant enclosed by the cylinder 
and the plane 
.
A. 
B. 
C. 
D. 
Answer: D
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Find an equation of a parabola satisfying the given conditions.Focus at (2, 6), directrix x = -4
A. (x - 2)2 = 12(y - 6) B. (x - 6)2 = 12(y + 1) C. (y - 6)2 = 12(x + 1) D. (y - 6)2 = 12(x - 2)
Solve the equation.5(8 - d) = 6d + 10 - d
A. d = 8 B. d = 3 C. d = 6 D. d = 0
Solve the initial value problem.Differential Equation: 
= (18t2 - 7)i - j + 
kInitial Condition: r(0) = -8i + 4j + 5k
A. r(t) = (18t3 - 7t - 8)i + (4 - t)j + (
+ 3)k
B. r(t) = (6t3 - 7t - 8)i + (4 - t)j + (
- 3)k
C. r(t) = (6t3 - 7t - 8i + (4 - t)j + (2
+ 3)k
D. r(t) = (6t3 + 7t + 8)i + (4 + t)j + (
+ 3)k
Solve the problem.A circular pond is being installed in the corner of a yard, as shown. The installer needs to know the value of x in feet. Find x to the nearest tenth of a foot. 
?a = 41 ft
A. 57.9 ft B. 58.3 ft C. 57.6 ft D. 58.5 ft