- 34. f(x, y) = (1/2)x² + xy + (1/4)y² + 3x − 3y + 4 at Po(2, 2), R: x2 ≤ 0.1, y - 2 ≤0.1

Q: Approximate (26)"3 by using a linear approximation.

A: (26)1/3 y= f(x) = (x)1/3 When  x=27, f(x) = 3   x + Δ x = 26 Δx = -1;   f(x+Δx) = ?

Q: Find the linearization of f(x, y) = V1+x - y? at (4, 1), and then use it o approximate f(3.96,…

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Q: Use the linear approximation of f(x) = /2x - 3 about c = 2 to estimate the value of V1.32 Enter your…

A: Given that: f(x)=2x-3

Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,6).

A: To find the linear approximation of the function f(x, y) = x/(x + y) at the point (1, 6), we need to…

Q: Use the linear approximation to approximate a suitable function f(x, y, z) and thereby estimate…

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Q: Let f(x, y) = Use the Linear Approximation at an appropriate point (a, b) to estimate f(4.04, 0.94).…

A: Given that  f(x,y)=x^2/(y^2+1) From the linear approximation to find the f(4.04,0.94)

Q: he linear approximation to approximate a suitable function f(x, y) and thereby estimate…

A: To approximate a funtion f(x,y) from R^2 to R at some point(xo,yo)

Q: Write the Linear Approximation to f(x, y) = x(1 + y)-¹ at (a, b) = (8, 1) in the form f(a+h,b+k)…

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Q: Write an explicit formula for the sequence 14 19 8 29 9, 3'7'5'31 5 n+ 4 2"-1 9 n b. an 2" -1 5n +4…

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Q: 2) (i) Find the equation for the tangent plane to 2 2 z=f(x, y) = 2 x + 3y at the point (2, 2, 20).…

A: The equation of the plane is z=fx,y=2x2+3y2

Q: The directional derivative of f(x, y) = √5x + 3y at the point (4,3) in the direction corresponding…

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Q: 15 - Let f be the function f: A -> B. A, B and f are defined as {1, 2, 3, 4} {5, 6, 7, 8} f = {(1,…

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Q: Normalize (z) = 3f2(x) +2f3(x). You can think of functions being 0 beyond the [0, L] interval, where…

A: Simple Linear Scaling:If f2(x) and f3(x) are linear functions that map the [0, L] interval to [a, b]…