Find the volume under the surface of the specified figure. z = x2 + y2; R = {(x, y): 0 ? x ? 4, -3 ? y ? 1}

A.  
B.  
C.
D.  


Answer: D

Mathematics

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Use the integral test to determine whether the series converges.

A. diverges B. converges

Mathematics

A certain type of lizard grows to a maximum length of centimeters. If L, in inches, is the length of the lizard after t years, then the difference is an exponential function of time.

? A:  A newborn lizard is 4 centimeters long. What is the initial value of D? ? B: A 2-year-old lizard is 7 centimeters long. Find the yearly decay factor for D, and use your answer to find an exponential formula for D. Use t for the age, in years, of the lizard. ? C: Find a formula for L. ? ? What will be an ideal response?

Mathematics

Rotate the axes so that the new equation contains no xy-term. Graph the new equation.x2 + 2xy + y2 - 8x + 8y = 0

A.

B.

Mathematics

Answer the question.Describe how the graph of y = (x + 9)2 may be obtained from the graph of y = x2.

A. Shift 9 units to the right. B. Shift 9 units to the left. C. Shift 9 units down. D. Shift 9 units up.

Mathematics