Drop a comment if you have any further doubts regarding the solution
UPVOTE PLEASEE :D
dy Find for the following equation. Assume that the equation implicitly defines y as a differentiable...
3. Assuming that the following equation defines y as a differentiable function of x, find the value of dy/dc at point P: 2.ry +exty - 2 = 0, P(0, In2).
Assuming that the equation defines x and y implicitly as differentiable functions x =f(t), y =g(t), find the slope of the curve x =f(t), y=g(t) at the given value of t. x3 +41? = 37, 2y3 - 22 = 110, t = 3 The slope of the curve at t= 3 is (Type an integer or simplified fraction.)
Given the equation y In (x + y + 8) = 3, evaluate Assume that the equation implicitly defines y as a differentiable function of x.
(a) Suppose the equation defines a differentiable function y-f(z) (0) Find the derivatint ()-(e,l) (ii) Write the linear approximation for f(x) around a = e and use this to approx- dy Hence, e T,y 5 marks imate f(3). markS (b) Evaluate the following limits. Simplify your results if possible. 5 marks 5 marks] lim cot 5x sin 6x cos 7a (i) (ii) limIn (a) Suppose the equation defines a differentiable function y-f(z) (0) Find the derivatint ()-(e,l) (ii) Write the...
Given the equation y In (x + y + 5) = 4, evaluate Assume that the equation implicitly defines y as a differentiable function of x. If F(x,y) = y In (x3 +y* + 5) – 4, then F = 0 If F(x,y) = y In (x2 +y*+5) - 4, then Fy=0
dy/ 1. Find 7dx by differentiating 2x2y = x - 3y2 implicitly. (8 pt) 2. Find dx if y = 4x -3x (6 pt) 3. Find dx if y = cos(x2) (6 pt)
solve differential equation If - Dord, find y @ (5,12) dy + 2xy = 6xe*** (11 pts) dx 4. dx + x* ydy = 0
Consider the equation 2xy (y dx + x dy) = (y dx - xdy) sin - Is the equation exact? If not, find an integrating factor, and solve the equation that is exact with the integrating factor
Differentiate implicitly to find dy / dx. Then find the slope of the curve at the given point. x?y2 = 36, (3,-2) The slope of the curve at (3,-2) is (Simplify your answer.)
Differentiate implicitly to find dy / dx. Then find the slope of the curve at the given point. x?y2 = 36, (3,-2) The slope of the curve at (3,-2) is (Simplify your answer.)