Tag: "Dx"

Calculus Directional Derivative?

OnAJourney asked: A. Find the directional derivative for h(x,y)=e^-(x^2+y^2), P90,0), v=i+j B. Evaluate the iterated integral S=Integral S [2(on top) 0 (bottom)] S [2y (on top) y (bottom)] (10+2x^2+2y^2)dx dy C. Use a double integral to find the volume of the solid with the following boundaries: y=2, y=x, z=4-y^2, 0 is greater than x greater [...]

Calculus Partial Derivative?

OnAJourney asked: 1) evaluate all first partial derivatives at the given pt. f(x,y,z)=x^2y^3+2xyz-3yz, at (-2,1,2) 2) Find the total differential for w=e^ycosx+z^2 3) Find dw/dt for w=xy+xz+yz x=t-1 y=t^2-1 z=t 4) Find the directional derivative for h(x,y)=e^-(x^2+y^2), P90,0), v=i+j 5) Evaluate the iterated integral S=Integral S [2(on top) 0 (bottom)] S [2y (on top) y [...]