Determine the quadratic function whose graph is given.
A. f(x) = -x2 - 2x
B. f(x) = x2 + 2x
C. f(x) = -x2 + 2x
D. f(x) = x2 - 2x
Answer: C
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Find the surface area of the surface S.S is the cap cut from the sphere x2 + y2 + z2 = 16 by the cone z = 3.
A. 16?
B. 16?
C. 32?
D. 16
Provide an appropriate response.Determine all of the critical points of f(x, y) = x3 + x2 - 3x +
y3 - 4y. Also use the second derivative test to determine, if possible, whether a maximum, minimum or saddle point occurs at each of these critical points.
What will be an ideal response?
Solve the problem.A computer manufacturer has three outlet stores that sell its four computer systems. The following table shows the numbers of systems sold by the three stores in July. The prices of the systems are: $1200 for System 1, $1500 for System 2, $1600 for System 3, and $1800 for System 4. Write the information from the table as a 4 x 3 matrix B. Write a row matrix A for which the entries represent the prices for the systems. If C = AB, find c11 . What does this entry of C represent?
A. c11 = 144,000. c11 represents the sales of System 2 at all stores in July. B. c11 = 176,000. c11 represents the total sales at Store 1 in July. C. c11 = 164,000. c11 represents the total sales at Store 3 in July. D. c11 = 154,000. c11 represents the total sales at Store 1 in July.
Solve the problem.An average score of 90 for 5 exams is needed for a final grade of A. John's first 4 exam grades are 79, 89, 97, and 95. What range of scores on the fifth (and last) 100-point exam will guarantee John an A in the course?
A. 90 to 100 B. 95 to 100 C. 99 to 100 D. 85 to 100