QUESTION 7 Using implicit differentiation to find az ax for x2 + xy -sin(z)-0 y +...
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...
Question 7 Ue implicit differentiation to find of the following curve at the point (7, 2x). y = x + sin ny is zero in two differentiation steps only f(x,y) = xey?/«. is zero in three differentiation steps only. f(x,y) = y² + y(sin x - x"). b. Show that #xiy at - Show that .... Question 8 y = In(t) z = et- Let w = z - sin(xy) where Xit Find dwat by:- Using Chun Rule principles b-...
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
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:...
Question 15 Use implicit differentiation to find if: x In(y + 2) + y2 = 0 дх Ay+2 + x2 y + x2 + x2 8.-(4+2) In(y + 2) x + y + y2 C. None of the answers D. (x + 2) In(x + 2) y + x2 + x2 E-(*+7+42 x + y2 + y2
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)
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.
Q3. Find the value of az/ax at the point (1, 1, 1) if the equation xy + z’x – 2yz = 0 defines z as a function of the two independent variables x and y and the partial derivative exists. (2 marks)
dz Find when u = 0, v = 2, if z = sin (xy)+xsin (y), x=u2 +2V2, and y= uv. du az = du 1 = 0, V=2 (Simplify your answer.)
ho Find y' if y=r=sin(wy). Hint: Use implicit differentiation