Eliminate the parameter to obtain a Cartesian equation of the curve.x = 3 sin t, y = 3 cos t, 0 ? t ? 2?
A. y = x2 - 9, -2 ? x ? 2
B. x2 + y2 = 9, -3 ? x ? 3
C. y = = 9, -? < x < ?
D. y2 - x2 = 9, -? < x < ?
Answer: B
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Solve the differential equation.y' + y tan x = cos x, -?/2 < x < ?/2
A. y = x sin x + C sin x, -?/2 < x < ?/2 B. y = x cos x + C cos x, -?/2 < x < ?/2 C. y = x cos x + C sin x, -?/2 < x < ?/2 D. y = x sin x + C cos x, -?/2 < x < ?/2
Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = ln (5x + 9y)
A. Domain: all points in the xy-plane satisfying 5x + 9y ? 0; range: all real numbers; level curves: lines
B. Domain: all points in the xy-plane satisfying 5x + 9y > 0; range: all real numbers; level curves: lines
C. Domain: all points in the xy-plane; range: all real numbers; level curves: lines
D. Domain: all points in the xy-plane satisfying 5x + 9y > 0; range: real numbers z ? 0; level curves: lines
Find the exact value of the expression using the provided information.Find cos(s + t) given that sin s = - , with s in quadrant IV, and
with t in quadrant IV.
A.
B.
C.
D.
Verify the identity. = csc ? cot ?
What will be an ideal response?