Match the graph to the function listed whose graph most resembles the one given.
A. reciprocal function
B. square function
C. absolute value function
D. square root function
Answer: A
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Find T, N, and B for the given space curve.r(t) = 
i + 
j + 4tk
A. T = 
(cos 0.75t)i - 
(sin 0.75t)j + 
k; N = (-sin 0.75t)i - (cos 0.75t)j; B = - 
k
B. T = 
(cos 0.75t)i - 
(sin 0.75t)j; N = (-sin 0.75t)i - (cos 0.75t)j; B = 
(cos 0.75t)i - 
(sin 0.75t)j - 
k
C. T = 
(cos 0.75t)i - 
(sin 0.75t)j + 
k; N = (-sin 0.75t)i - (cos 0.75t)j; B = 
(cos 0.75t)i - 
(sin 0.75t)j - 
k
D. T = 
(sin 0.75t)i - 
(cos 0.75t)j; N = (-sin 0.75t)i - (cos 0.75t)j; B = 
(cos 0.75t)i - 
(sin 0.75t)j - 
k
Find the derivative of the function at the given point in the direction of A.
A = 12i - 5j
A. 
B. 
C. 
D. 
Solve the problem.The shape and density of a thin shell are indicated below. Find the moment of inertia about the z-axis.Shell: upper hemisphere of x2 + y2 + z2 = 9 cut by the plane z = 0Density: ? = 4
A. Iz = 216? B. Iz = 36? C. Iz = 54? D. Iz = 432?
Convert the angle given in radian measure into degrees. Round to two decimal places if needed.
? radians
A. 144° B. 432° C. 150° D. 75°