Evaluate.2 ? 43
A. 24
B. 162
C. 512
D. 128
Answer: D
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Use Stokes's Theorem to calculate .F = (x-y)i + (x-z)j + (y-z)k; S is the portion of the cone z = 5
below the plane z = 1
A. ?
B. - ?
C.
D. - ?
Solve the initial value problem.= -18cos (3t), s '(0) = 11, s(0) = 8
A. s = 2 cos (3t) + 6 B. s = 2 cos (3t) + 11t + 6 C. s = -6 sin (3t) + 11 D. s = 6 cos (3t) + 11t + 2
Solve the problem. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the objects. A projectile is launched from the origin at an angle of ? radians to the horizontal and an initial speed of Find the position function r(t) for this projectile.
A. r(t) = (175t cos ?)i + (175t sin ? - 16t2)j B. r(t) = (175t sin ? - 16t2)i + (175t cos ?)j C. r(t) = (175t sin ?)i + (175t cos ? - 16t2)j D. r(t) = (175t cos ? - 32t2)i + (175t sin ?)j
Identify the vertex of the parabola.y = x2 + 5
A. (-5, 0) B. (0, 5) C. (5, 0) D. (0, -5)