If we use trapezoidal rule for a function f(x) = x +2 1 - , then the approximate of J f(x)dx is Select one: a. 0.75 b. 0.5 C. 0.25 d. 0.375

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A: Topic- partial differential

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Q: f(x) = Vxdx 0. 1. Trapezoidal Rule

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Q: .2 If we use trapezoidal rule for a function f(x) = 1 then the approximate of f(x)dx is X +2 Select…

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: A function f : R? → R is given by f(x,y) = y² + 2x² – x²y. Find and classify its critical points.

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Q: dy 2- Find for the following function: dx А- у%3Dх*. сosx B- y= 2(secx)²

A: Given : A) y = x3·cosxB) y = 2secx2

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A: See the detailed solution below.

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Q: For the given function 9 = x-yz and 62 -(@C) at C= 3x?yi+ yz²j- xzk, Find 5yöz бубz point (1, – 2, –…

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Q: (ii) Find the length of the curve y = E* from x = 0 to x = 2. %3D

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Q: Find frx, fæy and firy for the function f(x, y) = (1+x + g)e*

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A: z = f(x,y) f(x, y,) - z = 0 Tangent at (0, 0) with direction <a, 0, c>

Q: (B): The Trapezoidal rule for f(x)dx 5 and Midpoint rule f(x)dx = 4 .What value does Simpsons rule…

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Q: Use FunCtion 9(x) = - f (X)tZ gra ph Of Y = fLX) to g raph Y=F(x) 2十 -4

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Q: Зх +2y The function f(x,y)= is discontinuous at point x +y+1 (5,-3).

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Q: Find a function f(x) whose linearization would help me come up with an approximation to 4 26

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Q: that is tompent ☺ Find the equation to the the Cime curve of fG)= (4-3)9 at x =l 4 (Tes f(x) =…

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: Q. 2 For an F-curve with df = (6,10), find: a) F o.01 b) Fe.os c) F se Fatables,

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Q: For which values of a e R is the function ++(). f(a + iy) = (a²z - ary) + i + ay an entire function?

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Q: At what x-value(s) on the interval [-2, 3] does the graph of f (x) = x² + 2x – 1 satisfy the M.V.T.?

A: According to mean value theorem,Let f be continuous on [a,b] anddifferentiable on (a,b). Then…