Use the given information to find the exact value of the trigonometric expression.cos ? = 
; 
< ? < 2?
Find sin(2?).
A. - 
B. 
C. - 
D. 
Answer: C
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Perform the indicated operation. Simplify if possible.
+ 
A. 3
B. -3
C. 6
D. 
Find the domain and range of the inverse of the given function.f(x) = (3x - 1)3
A. Domain and range: all real numbers B. Domain: [1, ?); range: [0, ?) C. Domain: [0, ?); range: all real numbers D. Domain: [3, ?); range: [0, ?)
Find the partial derivative.Let z = f(x, y) = x3 - 4x2y + 7xy3. Find 
.
A. -4x2 + 7xy2 B. 3x2 - 8xy + 7y3 C. 3x2 - 8x + 7 D. 3x2 - 8xy + 21xy2
A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the exponential model 
. Use the definite integral to approximate the number of liters of chemical released during the first 4 hours. Round your answer to two decimal places.
?
A. 94,574.44 liters B. 81,278.57 liters C. 100,897.01 liters D. 98,626.28 liters E. 87,076.17 liters