Find the slope of the line tangent to the graph of the function at the given value of x.y = x3 - 4x + 5; x = 2
A. 5
B. 8
C. 13
D. - 11
Answer: B
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Solve the problem.Scores on a test are approximately normally distributed with a mean of 70 and a standard deviation of 9. The teacher wants to give A's to the top 10% of students, B's to the next 25%, C's to the next 40%, D's to the next 16%, and F's to the bottom 9%. What is the bottom cutoff for a D grade? Round your answer to the nearest whole number.
A. 56 B. 58 C. 62 D. 65
Evaluate the integral. The integral may not require integration by parts.
dx
A. 3ex3 + C
B. 
ex2 + C
C. 
ex3 + C
D. 
ex3 + C
Determine the phase shift of the function.y = 2 sin (2?x - 3)
A. 
B. 
C. - 
D. -3
Solve the problem.Consider the quadratic model h(t) = -16t2 + 40t + 50 for the height (in feet), h, of an object t seconds after the object has been projected straight up into the air. Find the maximum height attained by the object. How much time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.
A. maximum height = 50 ft; time to reach ground = 2.5 seconds B. maximum height = 75 ft; time to reach ground = 2.5 seconds C. maximum height = 75 ft; time to reach ground = 1.25 seconds D. maximum height = 50 ft; time to reach ground = 1.25 seconds