Write a system of linear inequalities that describes the shaded region.


Mathematics

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Use Gauss's Divergence Theorem to calculate .F(x, y, z) = 4xy2i + 4x2yj + 8xyk; S: the region cut from the solid cylinder  by the planes z = 0 and z = 8

A. 8192? B. 4096? C. 16,384? D. 2048?

Mathematics

Convert the equation given in polar form into rectangular form.r = 9 cos ? + 4 sin ?

A. 9x + 4y = 0 B. x2 + y2 = 9x + 4y C. x2 + y2 = 4x + 9y D. x2 - y2 = 9x + 4y

Mathematics

Decide whether or not the ordered pair is a solution of the system.(3, 4)x + y = 1x - y = -7

A. Yes B. No

Mathematics

How many tiles 5 in. on a side should be used to cover a portion of a wall 55 in. long by 40 in. high? (See illustration.) 

A. 440 tiles B. 70 tiles C. 88 tiles D. 1,750 tiles E. 113,2 tiles

Mathematics