For the given rectangular equation, write an equivalent polar equation.y = 12
A. r = 12 sin ?
B. r = 12 cos ?
C. r = 12 csc ?
D. r = 12 sec ?
Answer: C
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Calculate the flux of the field F across the closed plane curve C.F = (x+y)i + xyj; the curve C is the closed counterclockwise path around the rectangle with vertices at
and
A. 133 B. 21 C. 84 D. 140
Solve the problem.Evaluate Rwhere R is the interior of the ellipsoid
. Hint: Let
and then convert to spherical coordinates.
A. 72? B. 72?2 C. 96? D. 96?2
Solve the equation exactly in the complex number system.x3 + 2x2 + 49x + 98 = 0
A. x = -2, x = ±7i
B. x = -2, x = 98i, x = 49i
C. x = -2, x = ±
D. x = -, x = ±7i
Solve the problem.A triangular garden has an area of 119 square feet. Its height is 3 feet more than its base. Find the measure of the base.
A. 28 feet B. 14 feet C. 17 feet D. 11 feet