Two chemicals react to form another chemical. Suppose that the amount of chemical formed in time t (in hours) is given by 
where x(t) is measured in pounds.
a. Find the rate at which the chemical is formed when t=4. Round to two decimal places.
b. How many pounds of the chemical are formed eventually?
a. 0.08 lb/hr, b. 11 lbs
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = 
i + 
j + 3tk
A. T = 
(cos 0.8t)i - 
(sin 0.8t)j ; N = (-sin 0.8t)i - (cos 0.8t)j
B. T = 
(cos 0.8t)i - 
(sin 0.8t)j + 
k ; N = (-sin 0.8t)i - (cos 0.8t)j
C. T = 
(sin 0.8t)i - 
(cos 0.8t)j ; N = (-sin 0.8t)i - (cos 0.8t)j
D. T = 
(cos 0.8t)i - 
(sin 0.8t)j + 
k ; N = (-sin 0.8t)i - (cos 0.8t)j
Graph the function.y = 2 tan
A. 
B. 
C. 
D. 
Perform the operations.10 + 32 - (-11) ? 5
A. 74 B. -36 C. 40 D. 135
Find the circumference of the circle. Then use the approximation 3.14 for ? and approximate the circumference.
A. 50.22 yd B. 48.67 yd C. 97.34 yd D. 100.44 yd