Solve the differential equation by variation of parameters. -t y" + 2y' + y = et In(t) y(t) =

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Topic = Differential equation

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A: For a horizontal asymptote to exist for a rational function, the numerator has to be of the same…

Q: Kindly answer this as soon as possible -Divide 20 into two parts, such that the sum of four times…

A: Use result - Function attain it's minima where derivative of the function is zero

Q: Find all values of x and y such that Px(x,y) = 0 and Py(x,y) = 0 simultaneously. P(x,y) = 5x²2 -…

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Q: Use long division to find the slant asymptote f(x)=2x2+7/x

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Q: 2 (D² +8D³² +16) y = - sinx Ans: Y = C₁ cus2x+ C₂ Sin2x + C3 Xcos2x + C4 X sinex-_-_sing

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

Q: Consider the figures below. (1) 2- 14 (2) 4- O Continually increase the height of all rectangles. O…

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Q: Solve the following ODES by Undetermined Coeff D Ş 17 4X y - 16 y = 19.2 € + 60e, y(a) = ý (0) -4X…

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Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

A: The given surface is zex^2-y^2-1=0 and point (6,6,1).

Q: Evaluate each expression based on the following table. X f(x) (a) f(2) - f(-2) (b) f(-1)f(-2) (c)…

A: To evaluate the given expressions.  From the given table.

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.

A: Topic = Functions

Q: -20 -19 -18 -17 -16 -15 -14-15-12-11-10-9-8-7-6-5-4-3-2 Find an equation for the graph above.

A: NOTE: Refresh your page if you can't see any equations. .

Q: The shape of a colony of bacteria on a Petri dish is circular. Find the approximate increase in its…

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Q: Solve the following ODES by Undetermined Coeff 11 X 4X y 16 y = 19.2 € + 60 e - , уса) =ўс=0 THY 4X

A: This is a problem of ODE. Please follow the procedure given below.

Q: (c) Find a function f such that F = Vf where F(x, y, z) = yzi+xzj + (xy + 2z)k.

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Q: Find the limit as k approaches infinity for k ^(1/k)

A: Topic:- calculus

Q: e) Find the linear approximation of the function f(x, y, z) = x³y² + z² at the point (2, 3, 4) and…

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞0,00). f₁(x)…

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Q: What is the maximum value of the function h(x) = 10x =—= 22² x² on the interval 0≤x≤ 40 and for what…

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Q: Find the centroid of the region bounded by the graphs of the functions y = 3x², y = x² + 4 The…

A: Centroid Of the Region :           x¯ = 1A∫x=ax=b xf(x)-g(x) dx  and   y¯ = 1A∫x=ax=b 12fx2-gx2 dx…

Q: 9 P cost D2 + 1 }; రె 2 cos²x T+a {

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Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. R₁ = 1 x²…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: The RideEm Bicycles factory can produce 130 bicycles in a day at a total cost of $10,400. It can…

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Q: 1) State the vertical asymptotes of f(x)= a. x=6₂x=-2 b. x=6, x=2 1 x² - 4x-12 c. d. x=-6, x=-2…

A: Given:         fx=1x2-4x-12 Vertical Asymptote:     For rational functions,the vertical asymptotes…

Q: Find all values for which the function discontinuous. X-1 if X41 o if 18x44 X-2 if X>4 f(x);

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Q: 2 Determine the length of the curve = = t³, y: 31² 2,0 ≤t≤ √3.

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Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: The indicated function y₁(x) is a solution of the given differential equation. 6y"+y'- y = 0; y₁ =…

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Q: 8) How many solutions does the equation a. 0 b. 1 X+5 x-3 IX 1 || 4 x²-3x C. 2 d. 3 have?

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Q: Match the following iterns for the integral of (12) Using partial fractions, the above integral has…

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Q: Sketch the region of integration and change the order of integration f x I 1 = [²] [~ ² f(x, y) dy…

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Q: In the integral of x cos 2x dx with limits form 0 to pi/2, what is the indefinite integral? Select…

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Q: Given the diagram of the bounded area, The limits of integration Choose Area in square units is X is…

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Q: Find f(x,y) and fy(x,y). Then find fx (2, -1) and fy (-4,3). f(x,y) = In 5x4 +8x²y²| fx(x,y)=…

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Q: Which of the following is the graph of y= sin (3x) for 0 ≤ x ≤ 6m?

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Q: The given differential equation is already in standard form, as the coefficient of the highest order…

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Q: Use the one-to-one property of logarithms to solve. (Enter your answers as a comma-separated list.)…

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Q: Consider the function in the graph to the right. The function has a Select an answer of at x = The…

A: Graph of the function is given.We have to find the increasing and decreasing interval and domain and…

Q: (2xy - x + 2y - 1) dx + (8x² y² -2x + 4xy² − x) dy = 0 -

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Q: pls

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Q: 2. (x+y) dx + (3x + 3y − 4) dy = 0

A: The objective of the question is slove the given differential equation.

Q: 1. Use the data given to solve the following problems. Savings needed for Health-Care Expenses…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Find the real roots of the equation B 244

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Q: USE NEWTON-RAPHSON'S METHOD IN FINDING ROOTS f(x) = ex²-2 + √√x + 2-3

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Q: integral

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Q: (a) Determine whether the series n=1 n+1 n³ +3 is convergent or divergent.

A: Solution: ∑n=1∞n+1n3+3

Q: (8x² y² -2x + 4xy² - x) dx + (2xy + x + 2y + 1) dy = 0

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