Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h-0.1, approximate y '(1.3). (a) - 1.92171 (b) - 1.92117 (c) - 1.92711 (d) - 1.97211

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Q: b) Evaluate S(2y + 4z)dx + (2æ + 3z)dy + (4x + 3y)dz, where C is the curve given by r(t) = for 0 <t…

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Q: Find y'' for y = 4+ 5X 3

A: Given :   y=4+5x3     To Find : y''

Q: 2 Find f such that f'(x) = f(9) = 20. f(x) =O

A: Topic - integration

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Q: In Problems 35, 36, 37, and 38 the graph of a member of a family of solutions of a second-order…

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Q: Find g' (8) given that f(8) = – 3 andf 8) = 6. %3D

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Q: Determine p′(x) if p(x)=ln(5x^2+x+6/x^3/5 tan(x)).

A: Given query is to find the derivative of the function.

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Q: Use y = (x2 - 2x)² and its derivative Y = 4x(x – 1)(x – 2) to find each of the following. dx Find…

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Q: Find g' (5) given that f(5) = – 3 and f' (5) = 6. Enter the exact answers. (a) g(x) = 6x² – 5f(x) g'…

A: (a) The given expression of the function is: g(x)=6x2-5f(x)      ...(1) Given, f(5)=-3 ; f'(5)=6

Q: Given f'(x) = 3x4 — 4x³ + 7. Find all critical numbers of f'. (a.) 1 and 2 (b.) 1 and 3 (c.) 0 and 1…

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Q: The profit from the sale of a certain product is increasing at a rate given by P'(x) = 970x1/3,…

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Q: Let h(x) where f(x) = In(3x² + 2x + 2) and g(x) = -2x. What is h'(x)?

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Q: Find g' (3) given that f(3) = – 5 and f' (3) = 10. %3D Enter the exact answers. (a) g(x) = 4x² –…

A: Given,           f3=-5 and f'3=10

Q: Find g' (5) given that f(5) = - 4 andf' (5) = 8. Enter the exact answers. (a) g(x) = 6x² – 5f(x)…

A: We know that; The Power Law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-f·g'g2   (a). Given: gx=6x2-5fx

Q: Determine t'(x) if t(x) = 7(3*). Select the correct answer below: O t'(x) = 7(3³) O t'(x) = 3' ln x…

A: We know that t(x)=7(3x)

Q: Find g' (3) given that f(3) = - 5 and f' (3) = 10. %3D Enter the exact answers. (a) g(x) = 4x² –…

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Q: Find h' (2) given that f(2) = -3, g(2) = 4 , f (2) = -2 and g ' (2) = 7 such that h (x) = f (x) *g…

A: The solution are next step

Q: X Given that f'(x) x² +6 find F'(x) if F(x) = f(g(x)). F'(x) = = and g(x) = √3x – 4,

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Q: 50° S. 80° R 60° 100 7. 7.

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Q: Let P(x) = F(x)G(x) and Q(x) = F(x) where F and G are the functions whose grap G(x) y F 2 -1 4 8.…

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Q: Let F(x) = f(x*) and G(x) = (f(x))ª and suppose that a = 8, f(a) = 2, f'(a) = 9, f (a*) = 14 %3D…

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