Solve the initial value problem O y = telºr O y = 4e¹0r O y = 4te¹0r Oy=elor + előr O y = előr ,10t Oy=4e¹0+ 4e10r y" - 20y + 100y = 0, y(0) = 0, y'(0) = 4

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Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R².

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Q: solve the system of equations by Grammer Method. 3x₁ −2x₂ + 4x3 = 19 x₁ +5x₂ −x3 = -12 2 x₁ + 2x₂ +…

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A: To evaluate the given integral using divergence theorem.

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A: According to question,Given MatrixA = 123456101

Q: Problem 3: Find (i) f'(x) and (ii) f"(x) of the following functions. 6x4-√x , c) ƒ(x) = e4 – 5e-5x -…

A: As per the rules of the company we can answer only the first question and rest can be reposted.

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Q: R is the region bounded above by the function f(x) = −3x/4 + 7 and below by the function g(x) = −x/2…

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

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Q: Find the solution of the following initial value problem. y″ + 11y' + 18y = 0_y(0) = 11, y'(0) = −71…

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Q: 9. Let R be the region bounded by r=1-y²₁ x=2 + y²₁ y=-1, and y = 1. Find the volume of the solid…

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A: This question is based on application of integration.

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A: The difference quotient of a function f(x) is given asf(x+h)-f(x)h

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Q: Q1): Determine the general solution of the O.D.E: (1-x) y'-y²=0

A: The given differential equation is:  1-xy'-y2=0   As we know that; The Power Rule: ∫xndx=xn+1n+1+C ;…

Q: 63. 100% los telborey adi The graph of g consists of a semicircle and two line segments for -4 ≤ x ≤…

A: To find the area between the given curves.

Q: Find the general solution of the following DE. y' = 3 (y + 1) O y = 3ce³x - 1 Oy = ce³x - 1 Oy =…

A: y' = 3(y+1) dy/dx = 3(y+1) dy/3(y+1) = dx dy/(y+1) = 3dx now apply both side integration

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A: Here we will find the slope,

Q: Let be the arithmetic sequence defined by the formula a = 11 + (n-1) × 6 Apply the concepts of the…

A: Given tn= 11 + (n-1) × 6 Compare with tn= a+ (n-1) d⇒a=11,d=6

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Q: Q2) A: By using partial method solve [2x² cos x dx

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: Ex3. Find the absolute maximum and the absolute minimum values of the function f(x, y) = 2 + 2x + 4y…

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Q: Cursive

A: Please refer to the image below

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A: Here we have to use Riemann right end sum

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A: Determine the way in which the line [x, y, z] = [5, −9, 3] + k[1, −12, 2] intersects the plane [x,…

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Q: = x² + ²/4/ 3. Find the equations of the tangent plane and the normal line to z = x³ + at (1,2,2)

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Q: 52. If A. 10 C. -2 -8 5 g(x)dx = -4 and g(x)dx=6, what is g(x)dx? 2 ¹s 1miz d -8 B. 2 D. -10 12035

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Q: 1. Evaluate the iterated integral. (a) */2 sin 8 IT 00 */2 asine (b) ² dr de 0 rcos 0 dr de 0

A: A.

Q: I can't seem to understand the solution. Can someone write it down?

A: An inner city revitalization zone is a rectangle that is twice as long as it is wide. A diagonal…

Q: SUBJECT: DIFFERENTIAL EQUATION TOPICS Growth/Decay  Newton's Law of Cooling/Heating Mixture Simple…

A: Given that, A tank has pure water flowing into it at 10 liters/min. The contents of the tank are…

Q: Problem 4: Find the derivative (f'(x)) of a) f(x) = (x² − 3x)(7x+15), b) f(x) = = x-5 x²-x+7

A: Given f(x)=(x2-3x)(7x+15)DIfferentiate…

Q: Explain why l'Hôpital's rule does not apply. If the limit exists, find it by other means. Use - ∞…

A: Here we have to choose the correct option.