Solve the problem.Find a field G = P(x, y)i + Q(x, y)j in the xy-plane with the property that at any point (a, b) ? (0, 0), G is a vector of magnitude tangent to the circle x2 + y2 = a2 + b2 and pointing in the clockwise direction.

A. xi - yj
B. xi + yj
C. -yi + xj
D. yi - xj


Answer: D

Mathematics

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Find all the second order partial derivatives of the given function.f(x, y) = xy2 + yex2 + 5

A.  = 2yex2(1 + 2x2);  = 2x;   =  = 2y + 2xex2
B.  = 2yex2 = 2x;   =  = 2y + 2xex2
C.  = yex2(1 + 2x2);  = x;   =  = y + xex2
D.  = 2yex2 = 2x;   =  = 2xex2

Mathematics

Solve the formula for the specified letter.F =   for m2

A. m2 = 
B. m2 = 
C. m2 = 
D. m2 = FGm1d2

Mathematics

Use the accompanying graph of y = f(x) to sketch the graph of the indicated equation.y = - f(x)  

A.

B.

C.

D.

Mathematics

Graph.y = - (x + 5)2 - 3

A.

B.

C.

D.

Mathematics