Evaluate x³e¹dx O 4 0-etz ext of¥ + + C + C + C 0e**. + C

Q: Find the Laplace Transform of f(t) = 3e + 4t² - 2

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Q: 3 Solve the following ODES by Inverse Operator method 2 • (B³² +1) y = cos x 11

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

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Q: 3. [x²cos2x dx

A: The given integral, ∫x2cos2x dx Note:    Multiple questions are given, we are answer only one…

Q: . Find the open interval(s) on which the function is increasing and decreasing.

A: Given :f(x)=9x3-11x

Q: Find a possible formula for the trigonometric function whose values are in the following table. y =…

A: topic- trigonometric function

Q: Find and graph the level curve of the function g(x,y)=x^2+y^2-6x+2y corresp

A: the answer is given in step2

Q: Solve the given differential equation by undetermined coefficients. y" - y² + ²y = 2 + ex/2 y(x) =

A: The characteristic equation is            m2-m+14=0⇒4m2-4m+1=0⇒m=--4±02· 4⇒m=12,12 Now, the general…

Q: A population of rabbits oscillates 29 above and below an average of 75 during the year, hitting the…

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Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

A: topic- Area of shaded region Area of rectangle =Length*width

Q: A swimming pool whose volume is 10,000 gal contains water that is 0.03% chlorine. Starting at t=0,…

A: Given: the volume of swimming pool = 10000 gal that contains 0.03% chlorine. at t=0  ,0.002%…

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Suppose that you have measured the length of the side of a cube as (3.00.005) meters. Give an…

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Q: What is the directional derivative of f(x, y, z)= In x 2 + 2y2 + 4 z 2 at the point P(-1. 2, 4) in…

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Q: Please

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Q: y(2xy +1) dx + x (1 +2xy - x³y³) dy = 0

A: See this solution in below

Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = 2 x-intercepts…

A: We need to write an equation for a rational function with : Vertical asymptotes at x=-4 and x=2…

Q: Show that the function f(x,y) = 8x²y subject to 3x - y = 9 does not have an absolute minimum or…

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Q: The graph below is the function f(x) -4 -3 -2 -1 8-1 lim 24-2 4 3 2 1 Determine the following…

A: Solution: As we can see in the graph

Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

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Q: (-3x)² +1 if x # 4 3x + 13 if x = 4 Calculate the following limits. Enter "DNE" if the limit does…

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Q: 3. The Downhill Ski Club is organizing a ski trip. Group tickets for the ski trip are priced at $20…

A: Given Price of ticket for first 100 skiers = $20 Discount in the price of ticket for skiers over 100…

Q: Use the substitution t = -x to solve the given initial-value problem on the interval (-∞o, 0) x²y" -…

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Q: How long it would take to double an invesment if the rate of interest is 10% compounded quarterly?

A: Follow the procedure given below.

Q: all company of science writers found that its rate of profit (in thousands of dollars) after t years…

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Q: Find the gradient of the function In(x² − y) – 1, X Vz(2, 3) = Z at the given point. (2, 3)

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Q: 2 Solve the following ODES by Inverse Operator method. 1.2 y - 2y +y = e sinx "LI X Xx Ans:…

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Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $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: Analyze the following graph of f'(x). Select all of the intervals over which f(x) is concave down.…

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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: -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: tan12/1-tan^2 12 simplify

A: Simplify tan121-tan212

Q: Find the inverse function (if it exists) of f(x) = ln (1-2x). If the function is not invertible,…

A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange…

Q: Sx tanx dx

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Q: Four partners are dividing a piece of land worth $159,200 among themselves using the lone-divider…

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Q: 2 Solve the following ODES by 1.2 • ý -2y +y = e sinx Inverse Operator method X X Anse y=cie +…

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Q: Find the Laplace Transform of f(t) = sin2tcost A B 2 54 +55² +4 2 Ⓒ 4 E s² +3 s+10s² +9. ( 5++55²+4)…

A: Given problem:- Find the Laplace Transform of f(t) = sin2tcost

Q: Use sigma notation to write the sum. 7 [›( ² ) + ²] + [²( ² ) + ²] + ... + [>( ² ) + ²] X 7j 214 Σ j…

A: Given the sum is 714+2 + 724+2 + … + 784+2

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: Find the gradient of the function at the given point. g(x, y) = 11xe/x, (5,0) Vg(5,0) eBook

A: We can find the gradient as below.

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: Give the order and degree of the following differential equations. Differential Equation 2 (d²y) dy…

A: Answer and explanation is given below...

Q: Identify the type of solution for each problem and solve for the general solution. Choose the most…

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Q: Find a parabolic curve that would fit the following data. Let  y = a + bx + cx2. x      3    5…

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Q: A box without a lid is required to have volume, V = 32000 cm^3. Minimize the amount of cardboard…

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Q: 1) y" - 36y = 0.

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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: Find y" in Exercises 71-78 1 X 71. y = 1 + 3

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