Find the midpoint of the line segment joining the given points. Select the correct answer.


Mathematics

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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = 

A. Domain: all points in the xy-plane satisfying x2 + y2 = 81; range: real numbers 0 ? z ? 9; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 9
B. Domain: all points in the xy-plane; range: real numbers 0 ? z ? 9; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 9
C. Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at 
D. Domain: all points in the xy-plane satisfying x2 + y2 ? 81; range: real numbers 0 ? z ? 9; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 9

Mathematics

Find an approximate value for the integral, using Simpson's rule with n intervals., n = 4

A.
B.
C.
D.

Mathematics

Solve the problem. Round your answer, if appropriate.Water is discharged from a pipeline at a velocity v (in ft/sec) given by  where p is the pressure (in psi). If the water pressure is changing at a rate of  find the acceleration (dv/dt) of the water when 

A. 55.8 ft/sec2 B. 2790 ft/sec2 C. 82.1 ft/sec2 D. 164 ft/sec2

Mathematics

Evaluate the expression using a rule for exponents.0

A. 0
B.
C. -1
D. 1

Mathematics