The graph of y= Ax) is shown. e (5,-3) f'(x) < 0 for A -2sxS-5 B -3 5 D -2 8

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A: Make some simplification and rearrange the given differential in exact form.

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Q: 4. Determine the maximum point of the the graph of y = 12 sin(π – 2x), for x = [-T, T).

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Q: 3. General solution of (ylny - e-xy)dx + ( + xlny) dy = 0

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Q: 1. Find the relative maxima and minima of y by the second-derivative test: (a) y = --2x? + 8x + 25…

A: Consider the provided question, According to you we have to solve the part (b), (c) and (d). (b)

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A: Given,   f(x)=x+b sin x  y=x+b :-Tangent to f(x)

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Q: 7. Solve the following Cauchy-Euler equation d’y dx² dy +5x- +3y = In x. dx

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Q: - Use Euler's method to estimate y(3) given y(0) = 1, and y' = x -. Use steps of h = 1

A: use euler method for finding the y(3)

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Q: and (2) and (3) of this section. dy = f(x, y) dx Solve: (2) Subject to: y(x) = Yo d?y - f(x, y, y')…

A: we have differential equation: dydx=fx and d2ydx2=fx Now,  y''=12x-2 Integrating both sides…

Q: 4. The given equation sinh(xyz) = x + y + 3z implicitly defines a differen- az tiable z as a…

A: Differentiate with respect to x keeping y as a constant.

Q: 3 9 dx dt -1 -3 with x(0) 4 Give your solution in real form. X1 = X2 = ||

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A: The given differential equation is dydx=x+y2 with conditions y0=1, x0=0 to x=0.2 and h=0.1.

Q: 1. Any function y = f(x) can be expressed as x = f(y) in standard mathematical methods for solving…

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Q: Exercise 25. For which x- values does the graph of y = e3a-2a²-4x has a horizontal tangent line?…

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Q: Then we have from equation (1), -k-1 II Pi=1 k-1 nk-1 i=1 i=1 Pr (-1)*-(1) (-1)–1 (-1)k Yk=A - Where…

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Q: 9. An equation of the line normal to the graph of f(x)=, at (1,–1) is (a) 2x - y -3 -0 (b) 2x + y…

A: Explanation: Given that  f(x)=xx-2 at (1,-1)   Concept Used: To find the normal firstly find the…

Q: 3. Use the Intermediate Value Theorem to show that the following equation has a solution. sec(x) =…

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Q: 3. Use the Intermediate Value Theorem to show that the following equation has a solution. sec(x) =…

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Q: Find a solution of Airy's equation in powers of x − 1.

A: