Parametrize the surface S.S is the lower portion of the sphere x2 + y2 + z2 = 4 cut by the cone z = .

What will be an ideal response?


Answers will vary. One possibility is r = 2 cos ? sin ?i + 2 sin ? sin ?j + 2 cos ?k 

Mathematics

You might also like to view...

Use a ruler, protractor, and compass to construct, if possible, a triangle with the stated properties. If such a triangle cannot be drawn, explain why. Decide if there can be two or more noncongruent triangles with the stated properties.An isosceles triangle with sides of length 6 cm and 15 cm

A. Exactly one such triangle can be constructed. B. Two or more such noncongruent triangles can be constructed. C. No such triangle can be constructed.

Mathematics

Provide an appropriate response.Find integers m and n such that mn = 15 and m + n = 8.

A. 5, 8 B. -5, 3 C. 5, 3 D. -5, -3

Mathematics

Describe what the given ordered pair represents.Let p be the percentage of Americans at age A who have made a charitable donation in the past year. What does the ordered pair (20, 64) represent?

A. 0.64% of Americans at age 20 made a charitable donation last year. B. 64% of Americans at age 20 made a charitable donation last year. C. 20% of Americans at age 64 made a charitable donation last year. D. 0.20% of Americans at age 64 made a charitable donation last year.

Mathematics

Find the inverse, if it exists, for the matrix.A = 

A.
 
B.  

C.  

D. No inverse

Mathematics