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Q: a) f(x,y) =3y%-2y8-8x²-bxy find the caftical potnts of thi's function.and determine points quality.
A: Hello, thanks for your question but according to our policy I am answering the very first question.…
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Q: 3) Find the directional derivative of f(x, y) = xex-yx² at (-2,1) in the direction v=i-j B) g(x,y) =…
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A: We need to find partial derivative.
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Q: xY 2. (a) Prove that the function f(x, y) is differentiable everywhere in its do- %3D x2 + y? main.
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A: We have to find the limit .
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Q: Find the linearization L(x.y) of the function f(x.y) = 2x- 7y + 3 at the points (0,0) and (1,1). The…
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- Find the linearization of the function y = f(x) = x2 sin(x) at a = π/4 and use it to approximate the value f(0.78).Find the linearization L(x) of the function at a. f(x)= sin(x), a= π\4Find the local maximum and minimum values and saddle point(s) of the function. If an answer does not exist, DNE. f(x, y) = y2 − 10y cos(x), −1 ≤ x ≤ 7
- 7. Find the linear approximation of the function f (x, y) = у - 1 at (0,0)In the equation, x and y are functions of t. Differentiate with respect to t to find a relation between dx/dt and dy/dt. x8 + y2 = 1 --------------------------------------------- 8x7 dx dt + 2y dy dt = 1 -------------------------------------- 8x7 dx dt + y2 dy dt = 1 ------------------------------------------------------------------ 8x8 dx dt + 2y2 dy dt = 1 --------------------------------------------------------- 8x8 dx dt + 2y2 dy dt = 0 -------------------------------------------------------------------- 8x7 dx dt + 2y dy dt = 0Find the linearization of the function f(x,y) = y + sin (x/y) at the point (pi,3)
- Find the absolute maximum and absolute minimum values of f on the given interval. f(t)=2cos(t)+sin(2t), [0,pi/2]Find all points (x, y) where f (x, y) has a possible relative maximum or minimum. Then, use the second-derivative test to determine, if possible, the nature of f (x, y) at each of these points. If the second-derivative test is inconclusive, so state. f (x, y) = 2x2 + 3xy + 5y2Find the local maximum and minimum values and saddle point(s) of the function. If doesn't exist (DNE) f(x,y)= (5e^x)(cos(y))