4 Find T. N, and * for the space curve r(t) = Tit-Find all the second-order partial derivatives of the following function. h(x,y) = 6xe' + 4y+9 = 2 dxUse the limit definition of partial derivatives to compute the partial derivative of the function fIIXJy'} 2 cl Ex + 21; 3x21; at a point [11]. at at it. Find Eatil. I]. Find E at{3:1}. (T) Use the limit definition of partial derivatives to find and at (0,0). 3x dy sin X + (x,y) = (0,0) f(x, y) = 2 2 X + y 0 (x,y) = (0,0)Let f(x y) = x" + y". Find the slope of the line tangent to this surface at the point (1,1) and lying in the a. plane x = 1 b. plane y = 1. a. The slope of the line tangent to f(x,y) at (1,1) and lying in the plane x = 1 is (Simplify your answer.)dz Find the value of at the point (1, 1,1) if the equation 7xy + z x - 3yz =5 defines z as a function of the two independent variables x and y and the partial derivative exists. dz dx (1,1,1 ) (Type an integer or a simplified fraction.)