Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.An ellipse having a focus at (
, 0) and directrix x = 
.
A. 
+ y2 = 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Answer: D
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At the given point, find the slope of the curve or the line that is tangent to the curve, as requested.x3y3 = 8, tangent at (2, 1)
A. y = 4x - 1
B. y = - 
x + 2
C. y = 4x + 1
D. y = 
x
Solve the problem.Mike, Joe, and Bill are painting a fence. The painting can be finished if Mike and Joe work together for 4 hours and Bill works alone for 2 hours or if Mike and Joe work together for 2 hours and Bill works alone for 5 hours, or if Mike works alone for 6 hours, Joe works alone for 2 hours, and Bill works alone for 1 hour. How much time does it take for each man working alone to complete the painting?
A. Mike 8 hr, Joe 8 hr, Bill 16 hr B. Mike 16 hr, Joe 8 hr, Bill 8 hr C. Mike 8 hr, Joe 16 hr, Bill 8 hr D. Mike 12 hr, Joe 10 hr, Bill 10 hr
Plot the point and state the quadrant, if any, in which the point is located.(-4, -6)
A. Quadrant II
B. Quadrant III
C. Quadrant III
D. Quadrant IV
The function f is one-to-one. Find its inverse.f(x) = (x - 5)3
A. f-1(x) = 
+ 5
B. f-1(x) = 
+ 125
C. f-1(x) = 
+ 5
D. f-1(x) = 
- 5