Eliminate the constant: y=c₁₂e³+₂x³ Oy"-6y +9y=0 Oy"-6y¹+9y=x Oy"-4y+3y=0 Oy" + 6y'+9y=0

Q: According to the Bouguer-Lambert Law, the proportion of light that penetrates ordinary seawater to a…

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Q: 27. Show that n=1 n! nn converges. Hint: Use lim n→∞ n (₁ + ²)² = n e.

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Q: Consider f(x) = 2\sqrt(x) a) Find f '(x) using the 4 step process ( f(x + h) - f(x)/h) where h is…

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Q: 4. Σ n=0 3η + 2 5n3 +1

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Q: Homework: Evaluate the following integrals dx 4 sin x-3 cos x 5) cos x dx 2- cos x 6) 3) ₁ dx sin x…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: The revenue (in dollars) from the sale of z infant car seats is given by R(x)=672-0.02², 0≤x≤ 3500.…

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Q: The null hypothesis for a binomial test states that p = 1/5. What is the z-score for X = 29 in a…

A: We have to find the Z score.

Q: y=Get+Cocos x + C3 sinx

A: Since in this equation there are three arbitrary constant so differential equations is of order 3.

Q: ]: Show that the following functions are linearly dependent f₁(x) = tanx,f₂(x) = -tanx, f(x) =…

A: See the details solution in below

Q: For the function graphed in the accompanying figure, find the following limits. (a) lim p(x) 8118 =…

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Q: Rewrite the vector equation r(t) = (−4 − 3t)i + (3 − 2t)j + (−1 − 5t)k as the corresponding…

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Q: ytanx = y'ex

A: Given differntial equation y tanx =y"ex

Q: 1 2) y = ₁²+1 MARK Find dy/dx when x = √√4t+1

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Q: 48. iMa 2 n + 4n 3n4 +9

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Q: 19. y = tanh(e*)

A: Given; y=tanh(ex).

Q: dy = y2-4 dx y (6) = 2

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Q: Solve the following differential equations. Show your complete and detailed solutions. dy xy-y+2x-2…

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Q: What is the degree of the differential equation (y') ² - xy"=1 ? A) 1 B) 4 (C) 2 D) 3

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Q: To balance the chemical equation Fe2O3 + CO → Fe + CO2, you could introduce coefficients a, b, c, d…

A: The objective of the question is balancing the given equation.

Q: 20.fe* √3-4e2x dx

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Set up an integral that represents the volume of a solid whose base is enclosed by the functions y =…

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Q: Which is NOT a solution to the differential equation y" - 4y' +4y=0? A B [2x + 3xe ² y=2e²+ y = e 2…

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Q: B Which of the following is an example of a discrete variable? Oheight Oreaction time number of…

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Q: Let X= the time between two successive arrivals at the drive-up distribution with a = 1), compute…

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Q: 3 X-8 X-2

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Q: x²y" + xy' = x² + y 2

A: See this solution in below.

Q: BIU x² 5 4 X₂ 3 32 1 O 1 x 2 3 3.5 4 f(x) 1.653 2.02 2.533 22 E 3 ||| 4 5 Graph of f E P 7 6 4.5…

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Q: 3. S 10 dx (x + 1)(x² + 9)²

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Q: Using the Laplace transform and showing the details, solve 1. 9y" - 6y + y = 0, y(0) = 3, y'(0) = 1

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Q: i. f(x) = 1 1 – 2x

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Q: 3. Parabola vertex at x-axis, open to the right and the length of the latus rectum and the…

A: 3.We have to find the differential equation of the given parabola.

Q: Q / If you have the quadrilateral matrix below, then the determinant of the matrix is /A/ A) = 0.2…

A: Given:…

Q: For the pair of functions f(x) and g(x), find the following. f(x) g(x) = x² + 1 f(g(x)) .) g(f(x))…

A: f(x)=7x and g(x)=x4+1

Q: When the left-hand limit and right-hand limit of function f (x) as x→a exist and are equal, then…

A: The left-hand and the right-hand limit of the function fx as x→a exits and are equal.

Q: Which of the following is an integrating factor for the differential equation dy/dx - y = 1? A B 2et…

A: See the details solution in below

Q: What is the general solution of the differential equation 2y"'+y' 6y=0? Ⓒy=C₁e ² + + C₂ e ² A B…

A: We have to find general solution of differential equation.

Q: Use the technique of completing the square to evaluate the integral. (Use C for the constant of…

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Q: Find the points of intersection of the graphs of the functions y = 35 - 21x and y = 15x9x² (enter…

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Q: dz Use an appropriate form of the chain rule to find z = 7x³y³; x = 5, y = tº Enter the answer in…

A: To find the derivative of z with respect to t

Q: Differentiate the function. g(x) = g'(x) = || 2x²−7x+17

A: We have to differentiate of the given function

Q: Parametrize the intersection of the surfaces x² + y² = z², 7y = z² using t = z as parameter. (Use…

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Q: Question 6 Is the differential equation y2dx + 2xydy=0 exact? A YES B) NO

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Q: Find the area of one leaf of the rose r = cos(4θ).

A: Given: A rose r=cos4θ To find: The area of one leaf of the given rose.

Q: Use the properties of natural logarithms to simplify the function. X f(x) = In (1/1) f(x) = + In 4

A: The function is given by fx = lnx4+ln4To evaluate: The simplified expression of the function using…

Q: Find the solution of the following DE using the inspection D² + 4)y = 8x + 1-15e*.

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Q: sin 3x cos 3x (cos 3x + 1)² dx 19) fa 22) fex√3-4e2x dx

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: For a binomial test, if pn = 30 and gn=90, what is the value of n? 60 100 O120 150

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Q: Q4. Evaluate the following partial integrals: [₁21 -1 (a) (b) 2x - y dx r3x Love -x S dy xy dy

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Q: Find a linear second-order differential equation F(x, y, y', y") = 0 for which y = c₁x + c₂x² is a…

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Q: If a is a nozero real number, then lim (A) 0 B (c) 1 1 2a² D does not exist x²-a² x4-aª is

A: Use limit concept