Suppose f(x, y) = xy² + 4. Compute the following values: f(4,-5)= ƒ(−5, 4)= f(0,0)= ƒ(5,-5)= f(t, 5t)= f(uv, u - v)=

Q: Find a function f (x, y) that has the line y = 3x - 4 as a level curve.

A: A function is a relation which maps each value in its domain to exactly one value in its range. A…

Q: y=8x-x³ 12) Where is the function concave down?

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Q: Decide if the following functions are linearly independent in the interval (-00, 00) f1(2) = 1+r,…

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Q: Consider a function of 2 variable f(x, y) = 2x³y² – 5x²y* + 3x³ – 4y³ af and Əx af Find ду

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Q: Let f(x, y) = = 160 - 2x² - 4y² For which value(s) of y is f(-3, y) = 7? y =

A: Given function

Q: Find ƒx and ƒy when ƒ(x, y) = y8 + 2x6 + 2xy.

A: Given f(x,y)=y8+2x6+2xy For finding fx differentiate f(x,y) with respect to x fy differentiate…

Q: Find ƒyxyz if ƒ(x, y, z) = 1 - 2xy2z + x2y.

A: Given that, fx, y, z=1-2xy2z+x2y           ...(1)

Q: Evaluate F.dr where F(x, v)=xyi (4, 0).

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Q: Find Duf at P. f(x, y, z) = 6x³y³z³; P(2, — 2, 2); u = Duf = i + - 2|3 k

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Q: Verify that ƒxy = ƒyx, for ƒ(x, y) = xey.

A: Given function is fx,y=xey We have to verify fxy=fyx Solution: fxy means that first we find partial…

Q: Determine the slope of 3(x² +y´) = 100xy at the point (3,1)

A: The given function is 3x2+y2=100xy. Evaluate the slope dydx by implicit differentiation as follows.…

Q: Find f, (8,2) if f(x.y) = e* - 5y.

A: We can find the answer as below

Q: linearise R = AT + BT

A: To linearise the below equation. R=AT+BT2

Q: Differentiate y = In x*V1-3x (2x-1)2 4 A. 4 | 1-3x 2x-1 4 4 1-3x 2х-1 4 C. X 1-3x 2x-1 4 D. +. 1-3x…

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Q: 43" + 52y' + 169y = 0, y(0) = 8, 3'(0) = 5.

A: Given that, the differential equation is 4y''+52y'+169y=0 ,y0=5 and y'0=5 . The auxiliary equation…

Q: O Find The Slope og xy=8 at The point (a,2) O a O - 1 O a O d O c O b

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Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

A: We have to find the discriminant from the given function

Q: Find m such that the function y= Aex satisfies the equation 2y"=y'+y

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Q: Let f(x,y) = 9 e2*y, then fxy 18 e2xy + 36xy e2xy

A: The denotation fxy represents the partial fraction of f(x,y) which is found as follows.…