What is the inverse Laplace transform of the function: S-3 s²-2s+10 O O 5 2e cos3t+-e'sin3t e'sin 31 3 O -t 2e cos3t- - 5 -e¹sin3t 3 1 -t 2e cos3t+-esin3t 3 2 e' cos3t--e' sin3t 3

Q: Find the length of the curve r = sin ³ (0/3), 0≤0 ≤T. The length of the polar curve is. (Type an…

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Q: Evaluate indefinite integral using Integration by Substitution. 40x^3  e^(2x^4 - 3) dx

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Q: Suppose the temperature in degrees Celsius over a 10-hour period is given by T(t) = -t² + 5t +31. a)…

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Q: x²-2(x+0.4) Let f be the function given by f(x) (x²−2)(x+0.4) · which of the following open…

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Q: dy dx = 6x5y, which satisfies the initial Find the solution of the differential equation, condition…

A: dydx=6x5y,y(0)=1

Q: Find the point on the parabola x + y^2 = 0 that is closest to the point (0, -3)

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Q: 5 dx -3 2X-2

A: Consider the integral

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A: The given function is

Q: Find the average value of the function f(x) = x² – 23 on [0,3].

A: Find the average value of the function f(x)=x2−23 on [0,3]fave =1b−a∫abf(x)dx

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A: The acceleration of an object (in m/s2) is given by the function .The initial velocity of the object…

Q: Find the area of the region enclosed by sin x, x — axis for 0 ≤ x ≤ π < < Y = 01 O 4T 02 О 2п

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Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r=2 cos 0 +…

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Q: For DAY 1 17. Evaluate each relation for (a) x = y² +3. (b) y = x² + x 3 [(c) y = x² + x x-axis,…

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Q: Which interval describes the approximate interval where the function f(x)=5x¹-28x³-18x² +244x-500 is…

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Q: he letters x and y represent rectangular coordinates. Write the given equation using polar…

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Q: 3. The graph of the twice-differentiable function fis shown in the figure below. Which of the…

A: As we know The function increasing when  and decreasing when The function concave up when  and…

Q: Solve the following triangle. A = 20°, B=10°, a=2 0 C≈ (Simplify your answer.) ba (Type an integer…

A: A=20 degreeB=10 degreea=2

Q: Match each of the polar equations to one of the following graphs. r = 4 sin 0 A 0= Drag the correct…

A: Consider

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A: Let's make diagram according to the given data

Q: Find the integral. S³ 3 11 √x dx

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Q: Use horizontal strips to find the area of the region 1 enclosed by y - 3 -2 - y². and x = -

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Q: ƒ(x) = 9x - 24 x² - x - 20

A: f(x)=9x−24x2−x−20

Q: Consider the following. | 12 (a) Perform the integration in two ways: once using the Simple Power…

A: Power rule: +C

Q: Use partial fractions to find the power series of the function: 18 n=0 x +42 (x − 2)(x + 9)

A: The given function .The aim is to find the power series of the function.

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A: The arithmetic sequence is given byTo determine: The eleventh term of the arithmetic sequence.The…

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Q: The curve graphed below has equation y Q7.1: y = 3 1+ 4x² (x,y) X Find the dimensions of the…

A: We have given the equation of the curve where . Also the rectangle has one corner at (0,0) and the…

Q: Determine all critical numbers of the function f(x) = 8x4 - 25x² + 15 Note: For this problem, we are…

A: The objective of the question is to find the critical numbers of the function f(x) = 8x^4 - 25x^2 +…

Q: USE LIMIT COMPARISON TEST TO DETERMINE CONVERGENCE/ DIVERGENCE OF THE SERIES E n+2 3n²+2n²+n+1 n=1

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Q: Evaluate the indefinite integral as a power series. /₁ +30 dt 1-3 C + Σ( n = 0 What is the radius of…

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A: Consider the equations

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A: To solve:

Q: 12. Isolate X. Answer with this structure: 0<x<1 7 itanu 6 <8-X < 20 lu

A: 6&lt;8-x&lt;20

Q: Suppose that the variables and y are related by the implicit equation V = -3.6x-2.7 ln(x)+1.2y- 2…

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Q: Write the first four terms of the sequence defined recursively. b₁ = = 7; bn = 2bn-1 - 2bn-1 - 3

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Q: Question 9 of 10 > Evaluate the integral using an appropriate substitution. NOTE: Enter the exact…

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Q: Find the area of the following region. The region inside the inner loop of the limaçon r = 4-8 cos 0…

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Q: Find a formula for the general term an of the sequence below, assuming that the pattern of the first…

A: {−12,163,−814,2565,−6256,…}

Q: 2. Convert from polar to rectangular coordinates. (6,²) (-2,-) a. b.

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Q: 5. Find the length of the curve r = 02, where 0 <0 < , in the polar coordinate system

A: The given curve equation   The length of the curve for   over the interval  is

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Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

A: Solution:Given function,f(x)= 3/x + 1 ,[1,5]n =4

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A: We have given, for a right circular cylinder,the lateral surface area= to find-We have to find the…

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Q: For each problem, approximate the area under the curve over the given interval using 4 right…

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Q: It costs C(x) = 807.71 + 173.627x dollars to produce x light boxes. To sell x light boxes, the price…

A: Given Cost Function Given price function Ler Revenue function Let Profit function