Solve the equation using the given information.F = 
given z = 30
A. F = 5
B. F = 24
C. F = -5
D. F = 30
Answer: A
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Sketch the level curves of the function corresponding to the given values of z.
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A. ?
B. ?
C. ?
D. ?
Answer the question or provide the appropriate response.Which of the following methods may be used to show that there cannot be two real numbers that have a difference of 5 and a product of -25? (More than one method may be correct.)(i) Graph the function y = x2 - 5x + 25 and observe that the graph has no x-intercepts.(ii) Determine that the discriminant of the equation x2 - 5x + 25 = 0 is negative.(iii) Graph the function y = x2 - 5x + 25 and observe that the vertex lies above the x-axis.(iv) Graph the functions y1 = x2 - 5x and y2 = 25 and observe that these graphshave no points of intersection.
A. (i) only B. (i), (ii), (iv) C. (i), (ii), (iii), (iv) D. (i), (iv)
Solve the problem.The diagram shows the roads connecting four cities.WX
YZ How many ways are there to travel between cities Y and Z by passing through at most two cities? (Hint: Write a matrix, A, to represent the number of routes between each pair of cities without passing through another city. Then calculate A2 and A3).
A. 18 B. 16 C. 14 D. 17
Solve the problem.A rectangular swimming pool is being constructed, 18 feet long and 100 feet wide. The depth of the pool is measured at 3-foot intervals across the length of the pool. Estimate the volume of water in the pool using the Trapezoidal Rule.
A. 12,300 ft3 B. 8200 ft3 C. 14,400 ft3 D. 10,900 ft3