(Solved): 12:45 AM Mon Jul 4 The gradient of Fis the vector given by F(x, y, z)=(x, y, z)i + F2 Step 1 The eq ...

12:45 AM Mon Jul 4 The gradient of Fis the vector given by F(x, y, z)=(x, y, z)i + F2 Step 1 The equation of the surface can be converted to the general form by definingF(x, y, z) as F(x, y, z)=??²+7²- F?(x, y, z)=(?²+²-2) . Step 2 Determine the partial derivatives F(x, y, z), F(x, y, z), and F(x, y, z). x P-X, V, 2) ==(?x² + y²-2) *** VF(x, y, z)= webassign.net VF(15, 8, 17) - 15/17? (x, y, z) + Step 3 Substitute the partial derivatives in the gradient and evaluate at the given point. 15/17 + 8/17? 8/17 (x, y, z). Step 4 If Fis differentiable at (x, y, z) and VF(x, y, z) 0, then VF(x, y, z) is normal? curve through(x, y, z). Hence, to obtain a unit normal vector in to the surface, normalize the gradient vector Normalization of a vector is the process of obtaining a unit vector parallel the original vector. To normalize the gradient vector VF(x, y, z), multiply the gradient vector by ||VF||" normal to the level 94% parallel to the direction of 12:45 AM Mon Jul 4 Step 3 Substitute the partial derivatives in the gradient and evaluate at the given point. Step 5 Thus, VF(x, y, z)= VF(15, 8, 17) - Step 6 Step 4 If Fis differentiable at (x, y, z) and VF(x, y, z) 0, then VF(x, y, z) is normal curve through(x, y, z). Hence, to obtain a unit normal vector in to the surface, normalize the gradient vector Normalization of a vector is the process of obtaining a unit vector parallel the original vector. n= To normalize the gradient vector VF(x, y, z), multiply the gradient vector by ||VF| VF VF Submit Answer 15/17 17?/2 i+ The unit normal vector to the surface z Need Help? Road + *** webassign.net 15/17 + 8/17 Submit Skin (you cannot come back) (151+8)- 8/17 -k EE VIT-* ²+² at the point P(15, 8, 17) is normal to the level 94% parallel to the direction of