Solve y"+2y+10y = 0, y(0) = 2, y'(0) = 7 y(t) =

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A: A firm manufactures a commodity at two different factories, Factory Xand Factory Y. The total cost…

Q: Find the indefinite integral for the function using the substitution u = 1 x 8x2+5 dx = 8x² + 5. 1-…

A: To find the following indefinite integral.by using the substitution .

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Q: Use Laplace Transforms to find the solution to the initial value problem y′ + 5y = e^(−2t), y(0) = 1

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Q: Remember, even if you enter an answer rounded to a number of decimal places, if you use that number…

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Q: 24 Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = 54 24 f(1) = L-¹ {…

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Q: (a) (b) 12 in (1 + √5) In 3 In 2 (c) (24) (d) - In (1+√3) =)/In (1+ √5) √ √2+1 dx = ? In 2+√3

A: The given integral is

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A: By using the derivative of  given below to determine the critical points of .

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Q: Consider sets A and B with |A| = 12 and |B| = 19. a. How many functions f: A → B are there? b. How…

A: Consider sets A And B which |A|=12,|B|=19.

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Q: 5. {an} = {\ = { in 1)!} 4" (n+1)! 3 {bn} = {(- {(--)"} 2 6. 7. {cn} = { n+1 n+25

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Q: Is this vector field Conservative? (Conservative If so: Find a function f so that F= Vf f(x,y) = Use…

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Q: Find the integral using the substitution u =t5. [t4 cos (15) dt

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Q: Given this: For each 11 roman 4 Global max دا 2) Local max 27 Local minimum. numera iv 2 global…

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Q: find the interval of convergence. α) Σ n=1 x2n+1 n!

A: Since you have posted multiple questions I can do first question as per our company guidelines…

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Q: 2. Determine whether the sequence e7n ∞ {₁ 11e3n converges or diverges. If it converges, find the…

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Q: Question 2. Find the global maximum and global minimum of the function f(x) = x²e³ on the ellipse x²…

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Q: +'? + Lo 3 2 14 -2- for q The function graphed above is: Increasing on the interval(s) Decreasing on…

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Q: 1.) Determine and state whether each of the following sequences converges or diverges, justifying…

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Q: the linear function whose graph passes through (3,2), and is parallel to the line y=3x+8

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Q: Perform the indicated operation and reduce to simplest form.ne 8. x³ (x-1)² (2+x)(2-x)

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Q: Solve for 0: 00=25,0, z 2x 08=25,2 3 2x 00=25, 47 3 00=2,0,* Oe- 2x 4x 3 00=2 cos²0 (1+2cos) = 0 on…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5) 2=2y the…

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A: Given Indefinite Integral As we know that

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Q: 1₂² x²z ds, where C is the line segment from (0,-3,1) to (5,-2,1) Find

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Q: Question 2. Find the global maximum and global minimum of the function f(x) = x²e³ on the ellipse x²…

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. tan x 19…

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Q: 9 2 Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = + s² S-5 f(t) = C-¹…

A: To find the inverse Laplace transform  of the following function.

Q: Suppose F(x, y, z)=(x, y, 42). Let W be the solid bounded by the paraboloid z = x² + y² and the…

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