A college student is preparing a course schedule for the next semester. The student may select one of five mathematics courses, one of two science courses, and one of five courses from the social sciences and humanities. How many schedules are possible?
?
A. 55
B. 45
C. 60
D. 50
E. 40
Answer: D
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Find the equation for the plane tangent to the parametrized surface S at the point P.S is the cylinder r(?, z) = 4 cos ?i + 4 sin ?j + zk ; P is the point corresponding to 
.
Fill in the blank(s) with the appropriate word(s).
Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.
A. Local minimum at x = 1; local maximum at x = -1; concave down on (0, ?); concave up on (-?, 0) B. Local minimum at x = 1; local maximum at x = -1; concave up on (-?, ?) C. Local minimum at x = 1; local maximum at x = -1; concave down on (-?, ?) D. Local minimum at x = 1; local maximum at x = -1; concave up on (0, ?); concave down on (-?, 0)
Establish the identity.csc2u - cos u sec u= cot2 u
What will be an ideal response?
Find the volume.Of a cube measuring 4 yd on each edge
A. 64 yd3 B. 32 yd3 C. 16 yd3 D. 12 yd3