Can you help with question 3? OR SECTION 2.11. Compute the gradients of the following functions at the given points.(a) f(x,y)= y² + xy at (2, 1)(b) g(x, y,z) = xe*y - z? at (0, 0, 1)(c) h(x,y,z) = e* + e?Y + e3? at (0, 0, 0)(d) k(x, y, z) = e*+2y+3% at (0,0,0)2. Let f(t) be a C' function of t with f'(t) # 0.(a) Put F(x, y) = f(x² + y?). Find the gradient VF at an arbitrary point and show that it isparallel to the straight line segment joining the point and the origin.(b) Put G(x, y)orthogonal to the straight line segment joining the point and the origin.f(y/x). Find VG at an arbitrary point where x # 0, and show that it isSM 3. Compute the directional derivatives of the following functions at the given points and in thegiven directions.(a) f(x, y) = 2x + y - 1 at (2, 1), in the direction given by (1, 1).(b) g(x, y, z) = xe²Y – xy – z? at (0, 1, 1), in the direction given by (1, 1, 1).BT321 Sp21_PS2.pdf© 2021S-QF202-quiz.pdf2021S QF202 qui.RmdCAPM Notes.pdfpanouayiliydeleteprt scWoy144.

Name: Can you help with question 3? OR SECTION 2.11. Compute the gradients o
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Description: Can you help with question 3? OR SECTION 2.11. Compute the gradients of the following functions at the given points.(a) f(x,y)= y² + xy at (2, 1)(b) g(x, y,z) = xe*y - z? at (0, 0, 1)(c) h(x,y,z) = e* + e?Y + e3? at (0, 0, 0)(d) k(x, y, z) = e*+2y+3%