solve the answers handwritten but please type all the final answers together in the different section after solving. Thanks.

1. [-/1 Points] DETAILS SCALCET9 14.3.006. A contour map is given for a function f. Use it to estimate f (2, 1) and f (2, 1). Figure Description - 2 10 12 -14: - w f(2, 1) = f (2, 1) = Need Help? Read It 2. [-/1 Points] DETAILS SCALCET9 14.3.008. If f(x, y) = v 4 - x2 - 7y2, find fx(1, 0) and f (1, 0) and interpret these numbers as slopes. Illustrate with either hand drawn sketches or computer plots. fx (1, 0) = f,(1, 0) = Need Help? Read It3. [-/1 Points] DETAILS SCALCET9 14.3.011. Find the first partial derivatives of the function. g(x, y) = x sin(y) gx (x, y) = g, (x, y ) = Need Help? Read It 4. [-/1 Points] DETAILS SCALCET9 14.3.013. Find the first partial derivatives of the function. z = In(x + t ) oz ax Oz = at Need Help? Read It5. [-/1 Points] DETAILS SCALCET9 14.3.017. Find the first partial derivatives of the function. g ( x, y) = y(x + x2y)6 9 x( X, V) = 9, ( x, V ) = Need Help? Read It 6. [-/1 Points] DETAILS SCALCET9 14.3.020. Find the first partial derivatives of the function. W= U+ VS Ow aw av Need Help? Read It7. [-/1 Points] DETAILS SCALCET9 14.3.023. Find the first partial derivatives of the function. R(p, q) = tan-1(pq4) Ro(P, q) = Ro(P, q) = Need Help? Read It 8. [-/1 Points] DETAILS SCALCET9 14.3.032. Find the first partial derivatives of the function. U = 4x1/2 du ox OU ay au az Need Help? Read It9. [-/1 Points] DETAILS SCALCET9 14.3.038. Find the indicated partial derivative. f(x, y) = y sin-1(xy); fy(3, 2) (3 , Need Help? Read It 10. [-/1 Points] DETAILS SCALCET9 14.3.043. Use implicit differentiation to find - and oz ax dy 62 = xyz az Ox oz ay Need Help? Read It Watch It11. [-/1 Points] DETAILS SCALCET9 14.3.047.EP. Consider the following. f ( x, y ) = xy - 4x32 Find the first partial derivatives. f ( x, y ) = f(x, y) = Find all the second partial derivatives. fox (X, V) = fry (x, V ) = fux (x, V) = fry (x, V ) = Need Help? Read It12. [-/1 Points] DETAILS SCALCET9 14.3.051.EP. Consider the following. v = sin(352 - 2+2) Find the first partial derivatives. V - V+ Find all the second partial derivatives. Need Help? Read It 13. [-/1 Points] DETAILS SCALCET9 14.3.058. Find the indicated partial derivative. f( x, y) = sin(8x + 3y); fyxy fuxy ( x, V ) = Need Help? Read It14. [-/1 Points] DETAILS SCALCET9 14.3.063. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the indicated partial derivatives. W = - y + 5z aw azoyox 73 w axzay Need Help? Read It Watch It 15. [-/1 Points] DETAILS SCALCET9 14.3.082. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 40 The temperature at a point (x, y) on a flat metal plate is given by T(x, y) = (3 + x2 + 12) ,, where T is measured in C and x, y in meters. Find the rate of change of temperature (in C/m) with respect to distance at the point (3, 2) in the x-direction and the y-direction. (a) the x-direction .C/m (b) the y-direction .C /m Need Help? Read It16. [-11 Points] SCALCET914.3.093.EP. Consider the following. 2 The ellipsoid 9X2 + 3).!2 + z = 67 intersects the plane y = 3 in an ellipse. Find the slope of the tangent line to this ellipse at the point (2, 3, 2). :I Find parametric equations for the tangent line to this ellipse at the point (2, 3, 2). Need Help