Find the average value of the function on the given interval.f(x) = ex/2; [0, 14]
A. 156.52
B. 156.55
C. 39.10
D. 78.20
Answer: A
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Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and y-intercepts.f(x) = 
A. No x-intercepts, y-intercept: 
;
B. No x-intercepts, y-intercept: 
;
C. x-intercept: 
, no y-intercepts ;
D. No x-intercepts, y-intercept: 
;
Determine the quadrant(s) in which (x, y) is located so that the condition is satisfied. x = 2 and y < -8
A. quadrant II B. quadrant IV C. quadrants I and IV D. quadrants II and IV E. quadrants III and IV
Find the unit tangent vector T and the principal unit normal vector N. r(t) = (t2 - 8)i + (2t - 8)j + 7k
A. T = 
i + 
j; N = 
i + 
j
B. T = 
i + 
j; N = 
i - 
j
C. T = 
i - 
j; N = - 
i - 
j
D. T = 
i + 
j; N = 
i - 
j
Use both the addition and multiplication properties of inequality to solve the inequality. Graph the solution set on a number line.4x + 9 < 29
A. (-?, 5]
B. [5, ?)
C. (-?, 5)
D. (5, ?)