Determine what value of x gives the optimal value of the function, and determine the optimal (maximum or minimum) value. Round your answers to two decimal places.
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A. optimal value of x: 0, optimal value: 1.00
B. optimal value of x: -1.13, optimal value: 0.75
C. optimal value of x: 1.50, optimal value: -1.50
D. optimal value of x: -0.75, optimal value: -1.13
E. optimal value of x: 0.75, optimal value: -1.13
Answer: E
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Solve.John owns a hotdog stand. He has found that his profit is represented by the function with P(x) being profits and x the number of hotdogs sold. How many hotdogs must he sell to earn the most profit?
A. 31 hotdogs B. 47 hotdogs C. 23 hotdogs D. 30 hotdogs
Find the moment of inertia (in g?cm2) and the radius of gyration (in cm) with respect to the origin of the given array of masses located at the given points on the x-axis.166 g at (-10.2, 0), 438 g at (-18.2, 0), 238 g at (51.8, 0), 668 at (11.1, 0)
A. I = 883,000 g? cm2; R = 24.2 cm B. I = 4,110,000 g? cm2; R = 52.2 cm C. I = 10,100 g? cm2; R = 2.59 cm D. I = 10,100 g? cm2; R = 5.87 cm
Graph the circle. State the center and radius of the circle.(x + 3)2 + (y - 6)2 = 4
A. center (-3, -6); r = 2
B. center (3, 6); r = 2
C. center (3, -6); r = 2
D. center (-3, 6); r = 2
Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.About the x-axis
A. ?
B. ?
C. ?
D. 1?