2.3 Given f (x) = +1, that is defined over [1, 6]with a 2+ sin(rz) step (h= 1). Using the N.G.F. function differences Interpolation. Starting from (x-2), the first derivative of P3(s) at x-2 is: 18 26

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Q: 709. Find the values of a and b so that the function f(r)- rt ar' + br will have a relative extreme…

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Q: 1. From our class discussions, recall that (2") = na"-, : (z"). and 유(a")-(a") In a Apply the Power…

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Q: 2. find the high er order derivative of the given funcion witch whi ch Equal to 2ero f (x) = = x°-…

A: If we have a function f(ax) then the derivative of the function will be,     Here it is given that,

Q: Find the actual error when the first derivative of f (x) = sin(2x) at x = 1/8 is approximated by the…

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Q: Q5: Find for the following functions: TTTTTT³ : (2) y tan³√cot(7x) : = (4) y = x sinh 2x-cosh 2x (3)…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 7) Calculate the slopes of the following functions at the given points: Ta) f(x) = ln (x²-x + at IL)…

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Q: 4) fG) = (2x+ 1)9 %3D

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Q: As discussed in class, (z") = nz"- (the so-called Power Rule). Apply the Power Rule, combined to the…

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Q: Let f(x) = ln x. By using the following formula for first derivative approximation: - - f'(x) ≈ f (x…

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Q: 8. Given that f(r) is continuous at r = 0, is f(r) differentiable at z = 0? (If yes, find f(0) using…

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Q: 7. For what value of the constants A and B is the function f continuous on (-0o, 0)E AV-x+6-1 for x…

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Q: Now recall the general version of the power rule, where n is any real number. d = nx" – 1 dx…

A: Basic derivative problem

Q: 1. (a) Show that the following function is continuous at x = 1 for all values of p. spx + 1, if x >1…

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Q: Suppose that the first derivative of f(x) = x² In x is approximated by the following formula f'(x) ≈…

A: Note: According to Company Guidelines we are providing the answer of first question. Kindly post…

Q: Consider the conduction of heat in a rod 40 cm in length whose ends are maintained at oC for all t>…

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Q: Q1. (a) Show that the following function is continuous at x = 1 for all values of p. spx + 1, if x >…

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Q: Find the actual error when the first derivative of f(x) = sin(2x) at x 1/8 is approximated by the…

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Q: Q3) Find the derivatives of each of the following functions (Answer 4 Only) 2- f(x) = sin(tanh(x²))…

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Q: A2) Find the derivative of the following functions 1² + 3 z² – 3 (a). f(x) : (b). f(x) = 2 tan (x) –…

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Q: Q1. (a) Show that the following function is continuous at x = 1 for all values of p. spx + 1, if x…

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Q: 1. From our class discussions, recall that (2") = nz"-1, %3D (In z) %3D dr de (e") = e", and dr (a")…

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Q: n (2) Find the derivative of the function f(x)= e at 2= 2 by using numerical affronsmation for the…

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Q: 4. Given the function f(r) = Vr – 2, (a) What can we say about f'(2)? f'(0)? ƒ'(4)? (b) Why are we…

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Q: 3 Find the derivative of the following functions. (Answer five only) 1-r = 120-1 - 40-3 +0-4 2- y…

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Q: 3. In the interval 0<x<4 of the second derivative test, f(x) is Oa. Changes direction O b. Not…

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Q: The graph of the function f(x) = sin(x+ 8) is shown along with the points (– 8, f( – 8)) and (– 7,…

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Q: Given z = , Find the a²z and дхду a. x-y For z = cos(xyz), find z ax by using implicit…

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Q: Find T5(x) for f(x) = cos(x) and evaluate it at x = 0. Find the maximum possible size of the error…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.