Provide an appropriate response.Explain in your own words what it means for a system of two linear equations in two variables to be dependent.

What will be an ideal response?


One equation can be obtained by multiplying both sides of the other equation by a nonzero constant, and thus the equations are equivalent. Therefore, the graph of the system is a single line, and every point on the line is a solution of the system. This means that the system has infinitely many solutions.

Mathematics

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Use a computer algebra system (CAS) to solve the given initial value problem.y' = 2x2 sin x, y(0) = 2

A. y = -2x sin x cos x + 2 sin2 x + 2x2 + 2 B. y = -2 cos x2 + 4 C. y = -2x cos x + 2 sin x + 2 D. y = -2(x2 - 2) cos x + 4x sin x - 2

Mathematics

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

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

Mathematics

Provide an appropriate response.Add the radicals and simplify: 5 + 3

A. 57
B. 21
C. 8
D. 56

Mathematics

Find a rectangular equation for the plane curve defined by the parametric equations.x = 2t, y = t + 5; -2 ? t ? 3

A. y = x + 5; for x in -4 ? x ? 6
B. y = x - 5; for x in -? < x < ?
C. y = x2 + 1; for x in -2 ? x ? 2
D. y = -2x + 5; for x in -? < x < ?

Mathematics