Write a differential equation showing the family of lines with slope and y-intercept equal

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A: From LC circuit and Kirchhoff's Law we know d2idt2+1LCi=0 given capacitor C=0.128×10-6F and inductor…

Q: 3) у %3D 2u* + 1 x = 5u? – 5u -

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Q: PROBLEM 2.2 Solve the system of ODEs for t = [0,50] with I.C.: x(0) = -8, y(0) = 8,z(0) = 27. x' (t)…

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Q: Double derivative.

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Q: Example 17.2 We take another example of multiple regression analysis. This also relates to sales ar…

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Q: maximum point of y x – 2

A: Condition for Extreme Value: A continuous function fx, y has extrema at a, b if fx=fy=0 at a, b…

Q: y" +6y' +10y=0; y(0) = 2, y'(0) =

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Q: Write a differential equation that expresses the law ofnatural growth. What does it say in terms of…

A: To write: Differential equation that express the law of natural growth. And what does it say in…

Q: Solve the initial value problem. √y dx + (x-9)dy = 0, y(10) = 49 The solution is (Type an implicit…

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Q: Find the differential equation of family of lines whose angle of inclination is 60 degrees.

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Q: ii) y = e**-2x + x²-e

A: We need to find the first derivative of the following y=ex3−2x+x2−e so we we need to find value of…

Q: tan h (03+ 30 4 3 %3D

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Q: The profit P for a company producing x units is P = −0.8x^2 + 324x − 2000 Use differentials to find…

A: Given that, the profit function is Px=-0.8x2+324x-2000. Differentiate the function…

Q: A person develops a small liver tumor. it grows according to S(t) = S(0)e^kt, where S (0) = 1.0 gram…

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Q: A spring is stretched 6 in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism…

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Q: Explain how to find a differential of a function.

A: Let us consider a function f(x) and its differential to be f'(x)

Q: Find dx * and then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 ,x = t? –…

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Q: An investment earned interest of $380 during the 10th unit period. If a(t) = 1 + t^2 , find the…

A: Accumulated function: A(t) =k×a(t) Where k=A(0) is initial amount A(t) is accumulated amount a(t) is…

Q: Original Function f(t)=5-5e0 +3 = 5t³-5

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Q: which is the equation for a line with a rate of change of 1/3 which passes through point (-6, 3)

A: To find: The equation of a line