How to evaluate this definite integral: ∫[e^3, e]  (3((ln(x))^3) / x dx

Q: 3X y 2y = 4y + 8y = 2³x + 8x² 2X <-2X Ans: y = ₁2x + ₂xe + cze -25 X -3X 2 —=== ² + x + x + 1²/2

A: This is a problem related to ODE. Based on the general formula and concept we will answer.

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A: First we will find the zeroes and then fix the interval.

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A: We can evaluate the given iterated integral.

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Q: Solve the following ODES by Undetermined Coeff. X X A 1 3X 2 • Y -2y = 4y + 8y = 2³x + 8x² - + 2X -…

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

A: The DE is given as , y''+2y'+y=e-tlnt find the solution by variation of parameters.

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Q: find X so that the net present worth of the investment is zero

A: answer is given in step2

Q: Find the general solution of the given higher-order differential equation. y"" - 8y" - 9y' = 0 y(x)…

A: The given differential equation is y'''-8y''-9y'=0 ............ (1)  Equation (1) can be rewritten…

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: need

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: Question 1 Find the total differential of the function z = 7x³y8 Odz = 7x¹y³dx + 7x³y+dy dz =…

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Q: Find the radius and interval of convergence of the power series 】 (−1)” (x+3)” √2n n=1

A: This is a problem related to series and sum calculation. Please follow the procedure given below.

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A: calculus

Q: Let (-7, 3) be a point on the terminal side of 0. Find the exact values of Sin Ø, Csc Ø and Cot Ø

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

A: Given general solution of the equation y=C1e-4x+C2e-2x

Q: the particular Solution is 1 84-1 2. = 2. 1 04-1 — (ex) - 1/₂₁ (2x), D4-1 = LYDB (ex) = 4p3 De_…

A: Given D4-1y=2 sinhx+sinx The auxiliary equation is m4-1=0⇒m22-12=0⇒m2-1(m2+1)=0 Therefore m= ±1, ±i…

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: Given differential equation y""-ay" -4y' + 8y = e²-³x +8x⁹ (D³ - 20² - Auxilary equation 2 4D +8)y=e…

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Q: ind the equation of the line tangent to the curve 3x² + 16y² = 192 at the point Mx + K. P= (-4, 3)…

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Q: 3. (2xy-x + 2y - 1) dx +(4x²y² - x² + 4xy² -x) dy = 0

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Q: 23. Express each of the following as a logarithm. Use a calculator to evaluate your answer correct…

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Q: 10z +2 (z+1)²(2-3)² S dz

A: ∫10z+2z+12z-32dz

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Q: Find the general solution of the given second-order differential equation. 3y"+y' = 0 y(x) = =

A: To find out the general solution of the given differential equation.

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Q: Find the domain of the function. (Enter your answer using interval notation.) F(x)=√x + √7-x

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A: We are asked to find the equation of the line.

Q: Question 18 -6 -5 -4 -3 -2 -1 8+ (2) 7 65 4 32 My 1 -1 -2 -3 --4- ✓ to t 1 3 Find an equation for…

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Q: Use polar coordinates to describe the region shown. y L -6 -4 -2 6 OR ((r, e): 0 ≤rs 6 cos(38), 0 ≤…

A: We need to find equation of polar curve.

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

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Q: 2-8-7-5-9-4-8 6-of-it-ct-st- t-t-et-Lt-st-et-at- Find an equation for the graph above. laruto 34 3 2…

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

Q: Write an equation for the function graphed below -7 -6 -5 -4 -3 -2 5+ 4- 3- 2 1 -2- -3 -4- -5+ 1 2 3…

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