Match the system with the appropriate graph.A system with solution (4, 7)
A.
B.
C.
D.
Answer: B
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Find the extreme values of the function and where they occur.y = x3 - 3x2 + 7x - 10
A. Absolute minimum is 6 at x = -1. B. Absolute maximum is 6 at x = 1. C. None D. Absolute maximum is 6 at x = 2.
The graph of a piecewise-defined function is given. Write a definition for the function.
A.
B.
C.
D.
Solve the problem.If a rock falls from a height of 90 meters on Earth, the height H (in meters) after x seconds is approximately What is the height of the rock when x = 1.1 seconds? Round to the nearest hundredth, if necessary.
A. 95.93 m B. 84.07 m C. 84.61 m D. 84.19 m
Provide an appropriate response.If (a, b) is a critical point in the interior of the domain of f(x, y) and if then f has a local minimum at (a, b) if I. D > 0 and fxx(a, b) > 0. II. D > 0 and fxx(a, b) < 0. III. D < 0.
A. I, II, and III are all incorrect. B. Only I is correct. C. Only III is correct. D. Only II is correct.