Use a calculator to evaluate the expression. 
A. 165
B. 330
C. 6.653 × 106
D. 831,600
Answer: A
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Find T, N, and B for the given space curve.r(t) = i +
j + 4tk
A. T = (sin 3t)i -
(cos 3t)j ; N = (-sin 3t)i - (cos 3t)j ; B =
(cos 3t)i -
(sin 3t)j -
k
B. T = (cos 3t)i -
(sin 3t)j ; N = (-sin 3t)i - (cos 3t)j ; B =
(cos 3t)i -
(sin 3t)j -
k
C. T = (cos 3t)i -
(sin 3t)j +
k ; N = (-sin 3t)i - (cos 3t)j ; B = -
k
D. T = (cos 3t)i -
(sin 3t)j +
k ; N = (-sin 3t)i - (cos 3t)j ; B =
(cos 3t)i -
(sin 3t)j -
k
Find the area of the specified region.Shared by the circles r = 2 and r = 4 cos ?
A. (2? + 3
)
B. ?
C. 2?
D. (4? - 3
)
Solve the problem.Two elliptical pathways in a park intersect as shown below. If the equations of the ellipses that represent the outermost perimeter of the pathways are and 4x2 + y2 = 2500, at which points do the pathways intersect?
A. (-10, -10
), (-10
, 10
)
B. (-10, 10
), (10
, 10
)
C. (10, -10
), (10
, 10
)
D. (-10, -10
), (-10
, 10
), (10
, -10
), (10
, 10
)
Reduce the fraction by finding a common factor in the numerator and in the denominator and dividing by the common factor.
A.
B.
C.
D.