dx dy dx +γ = 2(c-Ay) and Y. + ds ds ds where c and d are constants and rt 8(t) = √6° Show that dt√x²+2yxy + y². 33 = = 2(d+λx), dx dy + 2 dx +27 ds ds ds dy ds 2 = = 1. 3
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- Find the second-order partial derivative. 4) Find fxy when f(x,y) = 8x3y - 7y2 + 2x. A) - 28 C) 24x2 B) - 14 D) 48xy Find , and classify the relative extrema of the function, if they exist; and state the x value where they exist. 5) f(x) = - x2 - 4x + 963. Verify that fxy=fyx a. · ƒ(x,y)=2x²y³ – x³y³_b._ƒ(x,y)=(x²+y²)³Verify that the function u(x,y)=y^3-3x*2y is harmonic.Find v(x,y), the harmonic conjugate function of u(x,y).Form the corresponding analytic function f(z)= u+iv
- Evaluate F · dr where C is the line segment from (2, -, 1) to (94, 1, and 2 2 F = (sin(yz) + 1)i + (xz cos(yz) + 2y)j+ (xy cos(y2) + 22)k.The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is approximated by R(x,y) = 19+ 162x + 210y – 3x² – 5y2 - 6xy. Find the number of each that should be sold to produce maximum revenue. Find the maximum revenue. Find the derivatives Rxx, Ryy, and Rxy. Rx =, Ry =D, Ry =] %3D %3D