(5 pts) b. Use implicit differentiation to find z, if yz = ln(x + z). I
Exercise 4. Implicit differentiation (15 pts) Given z - xy + yz + y = 2 and z is a differentiable function in x and y. Then at (1,1,1) is: az дх a. 0 b. 1 1 C 2 d. d e. None of the above a. b. C. d. e. Exercise 6. Double integral in rectangular coordinates (10 pts+10 pts) Let I = S. secx dydx. 1) The region of integration ofl is represented by the blue region in:...
Exercise 4. Implicit differentiation (15 pts) Given z3 – xy + yz + y3 = 2 and z is a differentiable function in x and y. Then at (1,1,1) is: az дх a. 0 b. 1 1 с. 2 d. e. None of the above a. b. e.
for the following function (5 Marks) dy 5. (b) Use implicit differentiation to find dx 3x* - 6 ln(2xy) = 7-5e24-sy dy 1. (b) Evaluate: lim r? + 4x -12 (3-12x +1 (5 Marks)
Question 7 * Use implicit differentiation to find of the following curve at the point (1, 29). y= x + sin xy b- Show that as, is zero in two differentiation steps only f(x,y) = xey?/« axay - Show that ox ay is zero in three differentiation steps only. f(x,y) = y² + y(sin x - **). z = -1 Question 8 Let w = z - sin(xy) where x = at y = ln(t) Find dw/dt by:- 4. Using...
Use implicit differentiation to find Oz/ax and Oz/ay. e8z = xyz az - yz ox – 8e 2 – xy Xy 8e82 xy Need Help? Read It Watch It Talk to a Tutor
3. In the following, consider z as a function of x and y, i.e., z = z(x, y) and use az az implicit differentiation to find the partial derivatives and ax ay (a) x2 + y2 + z2 = 3xyz (b) yz = ln(x + z)
Use implicit differentiation to find the equation of the tangent line at the given point. z? + x arctan y = y -2,
Question 6 10 pts Use implicit differentiation to find oz -and дах 82 dy for the given function: x2 + 5y2 – 3x2 + y22 = 5 HTML Editor B IŲ A- A - IX E x x = = DT 12pt Paragraph O words
15 PTS) 2. Use implicit differentiation to show that x + y +exy = 0 is an implicit solution to the nonlinear equation (1 + xexy)*%+1+ yexy = 0. dx
Question 15 4 pts Use implicit differentiation to find the specified derivative at the given point. az Find at the point (6, 1,-1) for In exy+z2 = 0 6e7-1 1-2e 2e7- 1-6e O 1-2e 1-6e7 1-6e7 1-2e7 Question 15 4 pts Use implicit differentiation to find the specified derivative at the given point. az Find at the point (6, 1,-1) for In exy+z2 = 0 6e7-1 1-2e 2e7- 1-6e O 1-2e 1-6e7 1-6e7 1-2e7