Find the best quadratic approximation to f(x,y) = e5ycos(-4x) about the origin (0,0) and estimate the...

Find the best quadratic approximation to f(x,y) = e⁵^ycos(-4x) about the origin (0,0) and estimate the value when this approximation is used to calculate f(0.1,0.1).Do not do the error approximation. Also, find the extreme values of the function f(x,y,z) = 8y²-4xz +16z - 35 on the surface 2x²+4y²+4z² = 32

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Expert Solution

Colby Messinger answered 1 year ago

Find the best quadratic approximation to f(x,y) = e4ycos(-3x) about the origin (0,0) and estimate the...

Find the best quadratic approximation to f(x,y) = e4ycos(-3x) about the origin (0,0) and estimate the value when this approximation is used to calculate f(0.1,0.1).Do not do the error approximation. Also, find the extreme values of the function f(x,y,z) = 8y2-4xz +16z - 35 on the surface 2x2+4y2+4z2 = 64

Find the quadratic approximation of the function about a point (0,0) using second order and third...

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Given f''(x)= 4x-6 and f'(-2)=5 and f(-2)=1 FIND: Find f'(x)= and find f(2)=

1) Find the Taylor series (to second order terms) of the function f(x,y) = x^2 −4x...

1) Find the Taylor series (to second order terms) of the function f(x,y) = x^2 −4x + y + 9 around the point x = 3, y = −1. 2)Explain why the corresponding Taylor Series (to third order terms) will be the same as the second-order series.

Find the appropriate series solutions about the origin. for 2x(x+2)y''+y'-xy

Find the average value of f(x,y)= 4x+2y over region bounded by coordinate axis and lines x+y=4...

Find the average value of f(x,y)= 4x+2y over region bounded by coordinate axis and lines x+y=4 and x+y=8

Let f (x, y) = -x3 - y3 + 9xy - 26. Check that (0,0) and...

Let f (x, y) = -x3 - y3 + 9xy - 26. Check that (0,0) and (3,3) are stationary points of f and classify these points as maximum, minimum or saddle point. Obtain the maximum or minimum value of f.

Find the linear approximation of the function f(x,y)= e^(x^2 + 4xy - 2y^2) at (1,2) using the aproximate f(0.99,2.01)

-- Find the linear approximation of the function f(x,y)= e^(x^2 + 4xy - 2y^2) at (1,2) using the aproximate f(0.99,2.01) -- find Zvu for z= f(x,y), x=uv , y= v^2 + u^2 -

Let f(x) = −x^4 − 4x^3. (i) Find the intervals of increase/decrease of f. (ii) Find...

Let f(x) = −x^4 − 4x^3. (i) Find the intervals of increase/decrease of f. (ii) Find the local extrema of f (values and locations). (iii) Determine the intervals of concavity. (iv) Find the location of the inflection points of f. (v) Sketch the graph of f. (You can choose your own scale for the graph)

how many local extrema of each type does f(x,y) have if f(x,y)= 4x-((x^3))+3y-y^3?

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