8. Find a continuous solution satisfying dy dr + 2xy = f(x) where = x if 0 < x < 1 0 if x ≥ 1 off mer , y(0) = 2

Q: OA. x=0 and x = 3 OB. x=0 OC. x=3 OD. There are no points where the function is discontinuous.

A: Follow the procedure given below.

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A:

Q: first-order

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A: Let's solve initial value problem by using laplace transform.

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A: a. Given that, the function is fx=e-10x. Note that, the Taylor series expansion for the function fx…

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A: Use application of integral for finding the area of curve between two curves.

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A: Given: the graph is given then we have to find the value of the value of the A

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A: topic:- calculus

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A: To find the inverse Laplace transform.

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A: Solution is given below:

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A: Please refer to the image below

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A: I am attaching image so that you understand each and every step.

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A: Let h be the height of the pyramid, l and w be the length and width of the pyramid. Note that, if x…

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A: We have to describe the transformation and mapping rule.

Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . .,…

A: I have stated the used formulas in the solution

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Q: Tutorial Exercise Find the value of the derivative (If It exists) at the Indicated extremum. (475)…

A: Given that, the function is fx=-3xx+2. Rewrite the given function as follows. fx=-3x·x+2=-3x·x+212

Q: 2. Which equation models a quadratic relation? Oy = 2x²+1 Oy: O y = x -3z y = 3x+1

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Q: 4. Find the following limits: (a) (b) 2 lim-3 x-3 - 2 4 3-x 12x - 4x² lim x3+x² - 6x +9 1

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Q: S² (4-x²)³2x² dx

A: I am attaching image so that you understand each and every step.

Q: Use the Laplace transform to solve the given initial-value problem. y" + 7y' + 6y = 0, y(0) = 1,…

A: Use Laplace transform

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A:

Q: 24. Differentiate each of the following with respect to x. Simplify fully when indicated 1 (a)_y=x²³…

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Q: Xp X 300D S

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Q: . After one​ year,    ________​% of the information is remembered. ​(Round to one decimal place…

A: The function fx=80e-0.3x+20 describes the percentage of information, a particular person remembers x…

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A: The given integral is (4-x2)3/2x2, limit from 0 to 2.

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A: To identify the rational function with smallest degree in the numerator and denominator whose graph…

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A: Solution of given question is written in below steps.

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A: Follow the procedure given below.

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 2t² - 5 sin(4t)…

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Q: 1. (a) First find the following indefinite integral A. e666 B. 2e667 (e - 1) e√x+666 [= √x dx = (b)…

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Q: . Find the y-coordinate of the centroid of the region bounded by y=x^2, y = 0, and x = 1. a. 2/3 b.…

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