Find the exact value without a calculator.(a) log4 
(b) log 100
A. (a) 3
(b) 2
B. (a) -3
(b) 1
C. (a) -3
(b) 2
D. (a) 4
(b) 10
Answer: C
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Sketch the graph of the parametric equations. Then set up the appropriate integral to find the length of the curve and use a computer to evaluate it.x = 2t cos t, y = 2t sin t, 0 ? t ? 3?
A. L = 20?
B. L = 61.51
C. L = 92.26
D. L = 61.51
You are given a table showing input and output values for a given function y1 = f(x). Use the table to answer the question.What is the y-intercept of the graph of y = f(x)?
A. 3 B. 0 C. -3 D. -1
Find an equation of a line satisfying the given conditions.Vertical, passing through (8, 7)
A. x = 8 B. x = 7 C. y = 7 D. y = 8
The primal problem and the final tableau in the solution of the primal problem are given. Use the final tableau to solve the dual problem.Primal problem :Maximize7x1?+ 8x2subject tox1?+ 2x2? 105x1+ 4x2? 30and x1 ? 0, x2 ? 0Final tableau in solution to primal problem: x1x2?x3?x4?M 
A. Minimum = 50 when y1 = 2 and y2 = 1
B. Maximum = 50 when y1 = 2 and y2 = 1
C. Minimum = 50 when y1 = 
and y2 = 
D. Minimum = 0 when y1 = 0 and y2 = 0