Let T(x,y)=(3x−8y,−4x−9y)T(x,y)=(3x−8y,−4x−9y). Find x such that T(x)=(−9,−2)T(x→)=(−9,−2).
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Let T(x,y)=(3x−8y,−4x−9y)T(x,y)=(3x−8y,−4x−9y). Find x such that T(x)=(−9,−2)T(x→)=(−9,−2).
Find the volume of the following regions bounded by the planes: a). 3x+8y+8z=9, 3x+8y+8z=9, y=x, x=0, z=0. b). 5x+3y+5z=2, 5x+3y+5z=2, y=x, x=0, z=0.
Let y=3x^2. Find the change in y, Δy when x=4x and Δx=0.2 Find the differential dy when x=4x and dx=0.2
Suppose F = (y + 4x, 3x + 2z, 9y + 2x) and S is a surface bounded by C, a circle with radius 3, center at (3,0,0), in the plane x = 3, and oriented counterclockwise as viewed from the origin (0,0,0). Find the flux of curl(F) across S and then evaluate the circulation $cF. dr.
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