For a functionf: R R, it is known that f(2,3) = 4, f-(2, 3) = -1, and %3D %3D fu(2,3) 1. Then, the best possible approximation for L (z.u) dz dy is %3D

Q: Find the value of c that satisfies the MVT of f(x) = 1+x + x2 on (0,2).

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Q: Suppose f(x, y) = xy + 4. Compute the following values: f(x + 4y, x – 4y)= - f(xy, 6x²y³)=

A: We can find the given function .

Q: The volume V and surface area of a sphere [Figure 6(A)] are expressed in terms of radius r by V(r) =…

A: GivenVolume , V = 11πr3Surface Area , S = 41πr2As V = 11πr3r3 = V11π⇒r = V11π13 = r(V)Now, Surface ,…

Q: (a) Given that f(-1,1) = 4.5, fæ(-1,1) = 0.8, and fy(-1,1) = 1.5, approximate f(-1.2, 1.1).

A: Linear approximation to two variable function

Q: a) Find a function ƒ such that f'(x) = 4x² – 2x – 1 and f (-1) = 2 %3D b) Find the function g such…

A: Given: f'x=4x2-2x-1, f-1=2 for finding functionfx, we integrate f'x so,…

Q: Given the function f(x, y) = x²y4 - In (xy), find fx(1, 1) and fy(1, 1)

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(6) = 15, f(15) = 2, f'(15) = 7, f'(6) =…

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Q: Let X1 and X2 have the joint PMF f(x1,x2) = x1x2/36 for x1 = 1,2,3 and x2 = 1,2,3. Find the PMF of…

A: Let X1 and X2 have the joint PMF f(x1,x2) = x1x2/36 for x1 = 1,2,3 and x2 = 1,2,3

Q: There are four questions about this problem in the test shown in random order. Out of 1000 customers…

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Q: For f(x) = x? – 5x - 6, find f(2), f'(2), and f(3) – f(2). f(2) = a. b. f'(2) %3D c. f(3) – f(2) -

A: The given function is fx=x2-5x-6

Q: Consider f : R and g: R- differentiable functions. Suppose that D (g(x)) is a matrix whose rows are…

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Q: fi (x) %3D е*, f.(x) %3D хе-* — е-*; [0, 2] |

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Q: Given the equation y In (x? + y² + 4) = 4, evaluate dy Assume that the equation implicitly defines y…

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Q: Let f(x, y) = x²y. Compute and simplify each of the following: (a) f(x + h, y) – f(x, y), and (b)…

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Q: The range of the function f(x, y) = 4 – V4 - x² - y is [2, co) (-00, 2] (-0, 4] [2, 4] [4, c0)

A: Range of a function:The set of all possible values of y after substituting all the possible values…

Q: Determine the linear approximation of f(x) = at z = 1. O a. y= 9x +8 O b. y=- 9 x-8 O c.y = 9x - 8 O…

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Q: 17) Let f(x) : Find a %3D X - 9 function y = g(x) so that (f •g)(x) = x. %3D

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Q: 7) Given f(x) = 2x² + 4 and g(x) = vx – 4 %3D %3D Find (f °g)(x) Substitute g(x) into the x of the…

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Q: Evaluate the function at the given values of the independent f(x, y) = x²y – 9 (a) f(0, 3) f(0, 3) =…

A: The function is given as fx, y=x2y-9

Q: E.g. Let f(x, y) = x² - 2xy + y². The graph and contour diagram of f is given below right. Compute…

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Q: 1. Evaluate 3 √² 13 0 |3x² - 12 dr.

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Q: The equation e - Auw In(v) – Bvw In(u) = e defines u as a function of v and w near the point (u, v,…

A: Ans:The equation euvw-Auw lnv-Bvw lnu=edefines u as a function of v & w near the…