Q3) Find the integration by using Partial fraction method Y x² + 2x + 1 (x² + 1)² dx

Q: Evaluate the indefinite integral Го уз (y² - 3) dy. y5 - 3y³ + C О О yo 3y1 +C 6 4 O y1 / y³ 1 (4 -…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: 4. im [(x-4)(x+6)] A. -8 B. 9 5. lim, [(4)(x-25x-5)] A. -35 B. 30 A. 11 B. 10 C -9 C. -32 C. 9 5 D.…

A: (4)  limx→3x-4x+6=limx→3x-4limx→3(x+6)                             =3-4(3+6) limx→3[(x-4)(x+6)]=-9…

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Q: Solve in terms of Besselis Function, 21/ the ODE : x²y + xy + ((nx) + = /y =o let Z=Lnx

A: Given data:-  Ordinary differential equation is x2y''+xy'+((ln x)2+14)y=0 And for substitution z=ln…

Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 21 -1 3 12₁ +1 2 120…

A: Given  A= 012-123204 We need to find the inverse of Matrix A using Gauss-Jordan eliminations.

Q: Solve the initial value problem y"+y=f(t), y(0)=y'(0) = 0, (21 2t if 0 1

A: Here is the solution of the given problem. We solve this problem by using Laplace transformation

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A: Note: Since, in the image of the question posted by the student, it is not clear how many place to…

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A: An integral is given. We have to write the substitution form of the integration in terms of the…

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Q: Confirm that the integral test is applicable and use it to determine whether the series converges.…

A: a)  ∑k=1∞17k+2b) ∑k=1∞11+16k2

Q: Which of the following functions describes the graph of h(x)? h(z) -10 h(x)= Oh(x)= 3x +2 x-1 3x +2…

A: Given query is to find the function from the graph.

Q: b. |ā + (bx c)|

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Q: Which of the following double integrals will NOT give the volume of the solid bounded above by z = 2…

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Q: Which of the following graphs represents the function () ه کرد 4 f(x) f(x) 2 2x²+2x-12

A: Correct option (c)

Q: where t is time in seconds and the dimensions

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Q: x+2 lim x-2x²+4x+4

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Q: 8. Which of the following has a definite integration? A) f(x) dx [f(x) dx B) C) fdx D) [xndx 9. To…

A: This question is related to Integration, we will solve it using given information.

Q: Consider the following steps in 2 differentiating f(x) = ln x² sin 2x Identify the line number where…

A: This question is related to differentiation, We will solve it using given information.

Q: Use the root test to determine whether the series converges or diverges. If the test is…

A: In this question, we need to determine whether the given series converges or diverges.

Q: 5.Express this model of an electric circuit d² y dy +6¹ +5y=sin10t, y(0)= 0, y'(0) = 1 dt² dt As a…

A: First I have introduced two functions and then find pair of first order differential to the given…

Q: Find the derivative of f(x) = 2x3 + 12x² +18x + 9. f'(x) =

A: To Find : Derivative of f(x)=2x3+12x2+18x+9     Note that : Derivative of xn is nxn-1

Q: Find the integration by using Partial fraction method x² + 2x + 1 (x² + 1)² dx

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Q: 9. Find the scalar equation of the plane that contains these points: A (1, 13, 2), B(-2, -6, 5) and…

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Q: Evaluate / fasiner for drdedz Jo

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Q: Problem 9. Find absolute extreme values for (2) g(t)= = √t 1+t²⁹ x = [0,2].

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Q: d [x2 + dx|x4 d dx [(x2 + 1)50]

A: To evaluate the following.1 ddxx2+1x4-12 ddxx2+150

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: x²-3x-10 x 5 x²-8x+15 9. lim

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Q: Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x +…

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Q: 2 Σ(-1)+1n? + 5 m2 + 4 n=1

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Q: Solve the given differential equations: dy x3 1. = dx 2+y² 2. y' = y (0) = -2 y+x²y 3. 3x²y dx (x³…

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Q: 1. Which of the following is the reverse operation of [f(x)]? dx A) f f(x) dx B) Jdx C)f cdx D) dx…

A: Topic = Integration 1) A 2) A

Q: Consider the following homogeneous differential equation. xdx + (y-2x) dy = 0 Use the substitution x…

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Q: If the area under the curve, f(x), between [1, 5] is 12, what is the average value of f(x)?

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Q: If an object is moving along a horizontal line, such that it's velocity, v(t) = cos(3t), what is the…

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Q: Which of the following functions has a horizontal asymptote at y = 2?

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Q: Determine the moment of inertia of the area about the y-axis of the curve y2 = 2x, x=2, and the…

A: We can calculate by integrating.

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

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Q: 3. 2 cos¹ √x = cos ¹(2x-1) 0≤x≤1

A: We have to find out

Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. (Round your answer to six…

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Q: The vertical displacement of an object fired at an initial velocity v and an angle of elevation at…

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Q: If z = 24 - 2x - 6y, x = cos(4t), and y = esint, then dz dt is equal to O-2 sin(4t) - 6esint cost O…

A: Since you have posted multiple problems we will answer first problem for you for remaining problem…