Q65 8t Applying the shifting property to ascertain the Laplace transform of est cash (at) substitutes in (5/(s²-a)) with: Which gives: you would

Q: Find Laplace transform of f(t) = 3te-2t sinn4t dr where is the lin

A: Laplace tranform formula

Q: into polar equation r = f(0) T = 4√ 16 - 15 cos² (0) - 15 cos² (0) 15- X x² + 16y² = 16

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Q: Verify that the following functions u is harmonic, and find a conjugate harmonic function v. u(x, y)…

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Q: 4. Explain how you would use the integral test to determine if the following series is convergent or…

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Q: Use undetermined coefficients to find the particular solution to y"+y-12y =e 5 (8 - 2x +8x²) Yp(x) =

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Q: Find the area of the surface generated by revolving the curve about the given axis

A: For the x-axis, the formula is given as,For the y-axis, the formula is given by,

Q: graph the following functions  f(x)=3x-1    if x\le 0        -2x+1   if x\gt 0

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Q: 2n-3 00 Ση=1 5n+4

A: If limn→∞(∑n=0∞an)=L, where L= Number other than zero, then ∑n=0∞an divergesIf limn→∞(∑n=0∞an)=0,…

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Q: Evaluate the following definite integral. Your answer must be exact. S cos(arctan(10t)) 1 + (10t)²…

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Q: 3-18. Show that the matrix 2 1 1 1 3 2 13 is a root of the polynomial p(x) = x& – 5x² – 5; that is,…

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Q: decide the derivative of asin(bx),step by step.

A: Given function

Q: 9. x+5 5x X-5 x+-

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Q: Use S g(u) du 18 to answer the questions below. 16 (a) In this part, you will use the method of…

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Q: Solve the following linear system equations using inverse method x+y=z, 2x -y + 6 = 2z, and x + z =…

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Q: If we were to draw a line with a positive slope m, and assign the acute angle between the line and…

A: Slope = m (a positive value)The slope of the drawn line,The tan of the acute angle,From equations…

Q: The crime rate of a certain city is increasing by exactly 3% each year. If there were 350 crimes in…

A: The crime rate of a certain city is increasing by exactly 3% each year.If there were 350 crimes in…

Q: t) Consider the initial value problem y" +9y = 0, y(0) = 3, y (0) = 0. a. Take the Laplace transform…

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Q: a. Find the Laplace transform F(s) = L {f(t)} of the function f(t) = t - 7t + 5, defined on the…

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Q: Convert the Cartesian coordinate (-6, 2) to polar coordinates, with 0 ≤ 0 0 r= 2√10 0 =

A: To convert the Cartesian coordinates to polar coordinates,with .

Q: By Apoint P(4,4) is in (XJ) coordinate (1) Express this point in form of polar coordinate (V, 0)…

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Q: 2. Using complete sentences, explain why the three graphs below have the same limit as x approaches…

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Q: 6.) In parts a through d, determine and state whether each of the following series converges or…

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Q: Calculate the integral approximation Sg for 6 √₂ 72²1 dx. S8 =

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Q: What is the annual rate of interest if P 265.00 is earned in four months on an investment of P…

A: To find the annual rate of interest if P 265.00 is earned in four monthson an investment of P…

Q: 18. Determine the area of the region bounded by y = 2x² +10 and y= 4x+1 below. (Warning: graph not…

A: In the given figure , we can see that point of intersection of these two graph are at x= -1 and x=…

Q: 2. The lateral surface area S of a right circular cone is related to the base radius r and height √²…

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Q: You may be familiar with Pascal's triangle: 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1, where each number is the…

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Q: Let F =. Use Stokes' Theorem to evaluate where IJs 11₁0 S curl F.ds, 13 - x² - y² that S is the part…

A: Given Use Stoke's Theorem to find  , where S is teh part of paraboloid  that lies above the plane  ,…

Q: 1) Find the derivatives of the following functions: a) x³e b) sin(x³ + 2x) I c) 1+x²

A: We are authorized to answer three parts at a time, so we are answering the first three parts. Please…

Q: 9) Find the equation for the line in space passing through the point (-2,2,-2) and parallel to the…

A: Let two points are so equation of line passing through above two points is given as follows

Q: What is the horizontal asymptote to the graph of y = 4*-3? y = 0 y = -3 y = 4

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Q: - JJ₂ x² + y² − z dS where S is the part of S the cone ² = x² + y² that lies between the planes z =…

A: We find the value of given integration and where S is the part of the cone.

Q: Find the indefinite integral 6x² sin(5x)dx. 6x² sin(5x) dx integral 6a [62 help (formulas) Use a…

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Q: a) Solve for a if Σ(3a)" = 4. 1 m=1

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Q: Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t) = L-1 { 6 s² +9 2s…

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Q: Calculate the integral approximations T4 and M4 for -2 (In x)-² dx. Your answers must be accurate to…

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Q: 100 2" (x+2)" 7.) Find the interval of convergence of the power series Σn=11 n

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Q: 19-26. Evaluating limits graphically Sketch a graph of f and use it to make a conjecture about the…

A: We say that the limit of a function f(x) exists at a point x=a if the value of f(x) approaches same…

Q: Find the length of the curve traced out by the path c(t) Answer = (cos(3t), sin(3t), 5t) for 0 ≤ t ≤…

A: The given cuvre

Q: Consider the initial value problem y" +25y = 2 cos(5t), y(0) = 0, y (0) = 0. a. Take the Laplace…

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Q: Solve § (12x + 4)eª dä using Integration by Parts. Jse u = 12x + 4 and v' = eª.

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Q: Which of the series α) x − x³ + x6 − x¹0 + x¹5 b) X x² x3 xs .... are power series?

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Q: = Find an explicit formula for the following recursive sequence: a₁ = 1 and an an-1 (n − 1) for n 22

A: The given recursive sequence

Q: a) Apoint P (4₂4) is in (X,Y) coordinate Express this point in form of polar coordinate (v₂0) 2 form…

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Q: 3) Using the Fundamental Theorem of Calculus (FTC), find the exact values of the following definite…

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Q: Determine the Taylor approximation of degree 5 with support 0 of tan(x). by using…

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Q: Let f(n) = ((3.6) n + 14 log7 (5n³ - 19n²)) x 14√/2n +6. Which of the following is true? (Select…

A: Let's analyze the given function again with the updated information:Given function: f(n) = ((3.6)n +…

Q: Solve the following differential equations of

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Q: 8. One-sided and two-sided limits Use the graph of g in the figure to find the following values or…

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