Parametrize the surface S.S is the lower portion of the sphere x2 + y2 + z2 = 49 cut by the cone z = .

What will be an ideal response?


Answers will vary. One possibility is r = 7 cos ? sin ?i + 7 sin ? sin ?j + 7 cos ?k 

Mathematics

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Solve the problem. Round to the nearest cent unless otherwise noted.The regular selling price of a store item is $288. For a special year-end sale the price is marked down 20%. Find the discount sale price.

A. $230.40 B. $345.60 C. $57.60 D. $240.00

Mathematics

Rephrase the statement in the requested symbolic form.contrapositive of a ? ~(b ? c)

A. (b ? c) ? ~a B. ~a ? (b ? c) C. ~a ? ~(b ? c) D. ~(b ? c) ? a

Mathematics

Provide an appropriate response.What is the period of the function y =  cos ?

A. 120°
B. 180°
C.
D. 3

Mathematics

Add or subtract as indicated.6 + 9 - 11

A. 15 - 11
B. 4
C. -3 - 11
D. 26

Mathematics