Provide an appropriate response.Give a geometric interpretation of the triple integral 

What will be an ideal response?


This integral represents the volume of the region enclosed between the paraboloid with equation  and the xy-plane.

Mathematics

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A water tank is in the shape of a sphere of radius 10 feet. The tank is supported on a metal circle 8 feet below the center of the sphere, as shown in the figure. Find the radius of the metal circle.


(a) 6 ft
(b) 2 ft
(c) 3 ft
(d) 5 ft
(e) none of these

Mathematics

Find the inverse, if it exists, for the matrix.

A.

B.

C. The inverse does not exist.
D.

Mathematics

Find the area of the circle. Use 3.14 or  for ? as indicated.Use 3.14 for ?.

A. 18.84785 yd2 B. 30.772 yd2 C. 15.386 yd2 D. 75.3914 yd2

Mathematics

Fill in the blank with one of the words or phrases listed below.The  is the sum of the exponents on the variables in the term.

A. degree of a term B. coefficient C. term D. degree of a polynomial

Mathematics