Evaluate the integral 169 S. 13 dx 3 x( In x)³

Q: Evaluate Solution √25 Let x = 5 sin(8), where 플 플 √25 - x² = √√√25 - 25 sin²(0) = √√25 cos² (8) =…

A: we have to solve the integral using substitution.

Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

A: Using Laplace transform

Q: Find the Taylor series of the cubic function x³ about x = = 2. . 12 (x-2) + 1+ X - 2 - 8 12(x - 2)²…

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Q: y' = x - 4xy

A: We have to find solution of differential equation.

Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is

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Q: (g) y dx = (y - xy²) dy Oseparable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x…

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Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: Solve the given differential equation by separation of variables. e-y + e-5x - y exy dy dx

A: To find the solution of D.E.

Q: X г ht хе зихн X

A: The given integral is ∫3x2+4x3+4x+1dx

Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

Q: Hos solv the step? 0.10.9062cos (1-√√/3x) d x [sin (1. (3x) 3 sin (1-√√3a) - sin (1-√3(-0.1)) sin…

A: To find the given step how to came from the above step

Q: I sin²(x) cos(x) dx

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Q: L sin2t cos3t

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Q: fx tan x x dx

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Q: The solution of Yh = e²x (c₁ cos x + C₂ sin x) homogeneous part (yh) of the equation y" - 2y' + 5y =…

A: Let's solve.

Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - Z = z…

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Q: (b) Show that y = 3e²x + e-2x - 3x is the unique solution of the initial value problem y" - 4y =…

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Q: If 2 [². then is equal to f(x)dx = 5 and Select one: O 15 O-5 O 10 none of the others -10 5 [³ 5 1₂…

A: We can find the correct option as below.

Q: dy (8) The solution of differential equation: + y = xy³ is dx (a) = x + ²+ce²ª, y (b) = x² + + ce²x,…

A: Using differential equations

Q: Determine the Cartesian equation of the line passing through A(4, -2), which has 7=(5, 3) as its…

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Q: Show that the following equations have at least one solution in the given intervals, b. (x - 2)² -…

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Q: The alternating series En-1 (-1)" is diverge. n³ 2n³+3 True O False

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Q: y' = x - 4xy

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Q: Problem 3. Solve below definite integrals b) [3te (b) 3tet²+1dt, In(x) 23 ©f! -dz, (d) TH In(x) dr.…

A: ∫ eu du = eu +C Note : As per our Guidelines , we can solve first question as your parts is not too…

Q: Use linear approximation, the tangent line, to approximate √49.1 as follows: let f(x)=√x the…

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Q: Which of the following is FALSE? A. integrate f(x) dx from b to a = - integrate f(x) dx from a to b…

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Q: dy Find where y = csc dx Provide your answer below: dy dx = +9). 6x + 9

A: y = csc-(1/(6x+9)) find dy/dx = ?   here we use formula  dcsc-x/dx = -1/xx2-1   using this formula…

Q: Please solve the bottom question.

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Q: R is the region bounded by the functions f(x)=3−cos(x) and g(x)=sin(x). Find the area of the region…

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Q: find the general solution (x - 2y + 3) dx + (x-3) dy=0

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Q: Repeat Exercise 60, except with these derivative boundary conditions: y'(0) = 0, y'(π) = 1. In part…

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Q: Suppose x-j, for j-0, 1, 2, 3 and it is known that Find Po123(1.5). P₁1(x)=x+1, P₁2(x)=3x-1, and…

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Q: Which of the following is the area of the region bounded by the function y = x ^ 2 the vertical…

A: To find area of the bounded by the function.

Q: 5. Solve by using power series: y' = xy. Find the recurrence relation and compute the first 33…

A: To solve using power series.

Q: Given the geometric sequence: 24, Find an explicit formula for an, where the first term is a₁ = 24.…

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Q: -0.1 0.9062cos (1-√√3x) d x 吧。 (1-√³x)]" [sin (1- sin (1-√√3a) - sin (1-√√3(-0.1)) sin (1-√3a) 1-√3a…

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Q: A projectile is launched straight up in the air. Its height​ (in feet) t seconds after launch is…

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Q: Evaluate the integral. 7/4 O O [(10sect)i-(3+ sin t)j - (2sec t tan t)k)]dt (2√√2-37-4 2 10i+ 10i +…

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Q: 3x2+4 х3их н dx

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Q: 8 mi P 4 mi

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Q: What does the following equation represent in R O None of the others O Sphere O Plane O Line O…

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Q: 3 Find the Maclaurin series of .Write your answer in sigma notation. 1 + x O O O Σ(x)³n n=0 3…

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Q: The particular solution (yp) of the equation y" - 3y' + 2y = 5 e* is yp = -5xex False True O

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Q: Find the area enclosed by the curve x² + 8y + 16 =0, the x axis, they axis and the line x-4 = 0. A.…

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Q: Find the vector projection of OA = (4, 3) on OB = (4, −1).

A: This is a basic vector problem

Q: The area enclosed by one petal of the polar curve r = cos20 is False True O

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: Concept: When the two vectors are in the same direction the value  λ is positive When the two…

Q: T.

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Q: dy = sin(x+4) dx

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Q: 1. Given f(x) = x^2 - 1/x (a) Find the domain and x-intercepts. (b) Find all asymptotes. (c)…

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