Use a calculator to evaluate the expression. 

A. 165
B. 330
C. 6.653 × 106
D. 831,600


Answer: A

Mathematics

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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

Mathematics

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)

Mathematics

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)

Mathematics

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.

Mathematics