2. (a) Find the first and second partial derivatives of a function f(x,y) = sin(x +...

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2. (a) Find the first and second partial derivatives of a function f(x,y) = sin(x + 1)e*+2y.(10pts) aw aw and ar (b) Use the Chain Rule to find where w = xy + yz + xz, x = r cos 0 and y = r sin 0 and z = r.(10pts) 3. Consider the curve 7(t) = (v2t, et, e-t). (a) Find the tangent vector and normal vector. (10pts) (b) Find the curvature. (10pts) 2. (a) Find the first and second partial derivatives of a function f(x,y) = sin(x + 1)e*+2y.(10pts) aw aw and ar (b) Use the Chain Rule to find where w = xy + yz + xz, x = r cos 0 and y = r sin 0 and z = r.(10pts) 3. Consider the curve 7(t) = (v2t, et, e-t). (a) Find the tangent vector and normal vector. (10pts) (b) Find the curvature. (10pts)

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