Solve the problem.Sketch a continuous curve y = f(x) with the following properties: f(2) = 3; f"(x) > 0 for x > 4; and f"(x) < 0 for x < 4 .
What will be an ideal response?
Answers will vary. A general shape is indicated below:
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250 students in a math class take the final exam. The scores on the exam have an approximately normal distribution with mean ? = 75 and standard deviation ? = 10.Approximately what percent of the students scored between 65 and 75 points?
A. 95% B. 10% C. 68% D. 34% E. none of these
Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact answer and, if appropriate, an approximation to three decimal places.a = 1, b = 7
A. c = 
; c ? 2.828
B. c = 
; c ? 6.928
C. c = 8
D. c = 
; c ? 7.071
Model the curve with a sine function.
?
?
?
Note that the period of the curve is 
and its range is 
and the graph of the sine function is shifted to the left 0.55 units.
?
A. 
B. 
C. 
D. 
E. 
Solve the problem.The angle of elevation of the top of a pole as seen from a point 
away from the base is double its angle of elevation as seen from a point 30 ft farther from the pole. Find the height of the pole above the level of the observer's eyes. Round to the nearest whole unit.
A. 46 ft B. 14 ft C. 34 ft D. 25 ft