Evaluate the given binomial coefficient.
A. 3
B. 42
C. 84
D. 60,480
Answer: C
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Solve by the substitution method.x - 2y = 5x = y + 2
A. {(-1, 2)} B. ? C. {(-1, -3)} D. Infinite number of solutions
Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.
?
?
A. 
; relative minimum value: 
B. 
; relative maximum value: 
C. 
; saddle point: 
D. there are no critical points
Solve.The outline of a certain planet can be considered a circle with a radius of approximately 4000 miles. Thus, if the center of this planet is located at (0, 0), then an equation for this circle is 
. Suppose an incoming meteor is approaching the planet in a hyperbolic path. The equation describing the meteor's path is 
Will the meteor strike the planet? If so, locate the point (x, y) where the meteor will strike. Assume that x and y are both positive, and round to three significant digits.
A. Yes, at the point (x, y) ? (5370, 6690) B. Yes, at the point (x, y) ? (4710, 4000) C. Yes, at the point (x, y) ? (7590, 4000) D. No, the meteor will not strike the planet.
Evaluate the sum.
A. 81 B. 12 C. 243 D. 120