Find (explicitly) the solution y(x) of the initial value problem d²y dy +7- 31 + 12y = 3x + - dx² y(0) = 0, y'(0) = 0. dx 4

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A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

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A: I hope this can help you.

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Q: QUESTION 14 7 points) Use a change of variables to evaluate the following indefinite integral.…

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A: Step 1:​Given the graph of a function.​Step 2:​From the graph:Area A=5.533, Area B=3.733,Area…

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Q: Can you explain step by step

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Q: SunDose cac à mortar is fired from ground level at an angle of 45° with an initials need of 200…

A: Step 1: Step 2: Step 3:don't forget to upvote :) thank you and comment if doubt exists Step 4:

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A: The curvature, k, and radius of curvature, R, is solved using the formula:k=[1+(y′)2]3/2y′′​ R=k1​…

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Q: Write an equation for the parabola graphed below. 8 7 6 5 4 3 2 -8- -6 -3-2-1 2 لله + -5 -6 -7 -8 2…

A: where (h, k) is the vertex of the parabola. In the equation:The coefficient -2 of (y+2)^2 determines…

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Q: 5 Determine the standard form of an equation of a hyperbola with eccentricity and vertices (-13, 3)…

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Q: (10) Find the Vertical Asymptote(s) of f(x) = (A) x=4 and x = -9 (C) x=-4 and x = 9 Find the…

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Q: 1 = Given that with center 5. - x ∞ 1 x with convergence in (-1, 1), find the power series for 7 x…

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Q: Do only question 8

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Q: Given g(x) = 2x² +3. Express S(n) = 1-1 (A) · Evaluate lim S(n) = 11-78 n n as a rational function…

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Q: Can you explain step by step

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Q: Do question 11

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Q: 7 6 5- 4 3 2 + -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 Find the slope of the line. 2 Slope…

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Q: Find a cubic polynomial (that is, f(x) = ax³ + bx² + cx + d) that has horizontal tangents at the…

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Q: QUESTION 1 (3 points) Find the derivative. s = sin t-e-t Ods = cost- e-t dt Ods =-cost-e Ods = -cost…

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Q: (1 pt) Consider the function f(x) = 34. We want to find the Taylor series of f(x) at x = -5. (a) The…

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Q: 6. Find the volume of the solid that has base R = {(x,y)|0≤x≤5,0≤ y ≤7} and ceiling given by z = 21.…

A: Step 1:​Solid that has base R={(x,y)∣0≤x≤5,0≤y≤7} and ceiling given by z=2x.​Step 2:​Volume of solid…