Find the mass of the surface S having the given mass density. S is part of the plane x = 5y + 9z = 45 in the first octant; the density at a point P on S is equal to the square of the distance between P and the xy-plane.


Mathematics

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Evaluate the integral.

A.  - 
B.  + 
C.  + 6
D. ln  - 

Mathematics

Find the fluid force exerted against the vertically submerged flat surface depicted in the diagram. Assume arbitrary units, and call the weight-density of the fluid w.

A. w
B. w
C. 512w
D. w

Mathematics

Solve

P R = ÄÄ. What is resistance when P = 7.2 W and I = 18 mA? I2 a. 7.2 Kê b. 22.2 Kê c. 21.0 Kê d. 27.5 Kê e. 33.3 Kê

Mathematics

Find the root. Assume that variables represent nonnegative values.

A. 3k3 B. -3k3 C. 27k3 D. 3k12

Mathematics