Find the unit tangent vector of the given curve.r(t) = (5 + 11t2)i + (9 + 2t2)j + (8 + 10t2)k
A. T = 
i + 
j + 
k
B. T = 
i + 
j + 
k
C. T = 
i + 
j + 
k
D. T = 11i + 2j + 10k
Answer: B
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Find an equation for the line tangent to the curve at the point defined by the given value of t.x = sin t, y = 9 sin t, t = 
A. y = -9x + 9
B. y = 9x
C. y = 9x - 9
D. y = 9x + 
Use the two steps for solving a linear programming problem to solve the problem.Wally's Warehouse sells trash compactors and microwaves. Wally has space for no more than 79 trash compactors and microwaves together. Trash compactors weigh 31 pounds and microwaves weigh 129 pounds. Wally is limited to a total of 6000 pounds for these items. The profit on a microwave is $53 and on a compactor $22. How many of each should Wally stock to maximize profit potential? Let x represent the number of trash compactors and y represent the number of microwaves.
A. 34 trash compactor(s) and 45 microwave(s) B. 0 trash compactor(s) and 45 microwave(s) C. 46 trash compactor(s) and 34 microwave(s) D. 2 trash compactor(s) and 46 microwave(s)
Solve the problem.A certain radioactive isotope decays at a rate of 1% per 500 years. If t represents time in years and y represents the amount of the isotope left, use the condition that 
to find the value of k in the equation 
A. -0.01005 B. -0.00002 C. 0.00002 D. 0.00538
Solve by using the square root property.(3x + 5)2 = 10
A. x = 
B. x = 
C. x = 
D. x = - 5 , x = 