Parametrize the surface S.S is the lower portion of the sphere x2 + y2 + z2 = 25 cut by the cone z = 
.
What will be an ideal response?
Answers will vary. One possibility is r = 5 cos ? sin ?i + 5 sin ? sin ?j + 5 cos ?k, 
Mathematics
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Differentiate the function.r(t) = (cot t)i + (csc t)j
A. r'(t) = (-sec2 t)i - (tan t sec t)j B. r'(t) = (-csc2 t)i - (cot t csc t)j C. r'(t) = (sec2 t)i + (tan t sec t)j D. r'(t) = (csc2 t)i + (cot t csc t)j
Mathematics
Solve the problem.Find the area bounded by y(4 + 9x2) = 3, x = 0, y = 0, and x = 3.
A. sin-1
B. 3 sin-1
C. 
tan-1
D. 
tan-1
Mathematics
Find the midpoint of the line segment joining the points P1 and P2.P1 = (5, 5); P2 = (9, 7)
A. (6, 7) B. (14, 12) C. (-4, -2) D. (7, 6)
Mathematics
Multiply.× 
A. 1.52 B. 2.62 C. 2.7 D. 1.63
Mathematics