Let a, be such that asb. Prove that tx Eqt ax cbx

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Q: Which of these series, if either, diverges? ∞ - 1)k 1. II. Σ(-1)^ (77) K²+1 k=1 k k=1 A. I only B.…

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Q: Investigate if the integral is convergent or not. Justify your answer.

A: Given:     ∫1∞dx1-x   Substitute u=1-x→dudx=-1                dx=-du   =∫1∞-1udu

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Q: X xp zo-zXI

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Q: 13. dx/(x²-4)

A: Since you have posted multiple problems we will answer first problem for you. If you need any other…

Q: Solve the following system: 2x + y - 3z = -3 x + 3y - 4z = 11 x + 8y-9z = 5 (2,-1,0) no solution

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Q: f arctan y dy 3 ¥

A: Given problem:- ∫arctan(y)/y3 dy

Q: Differentiate f(x) = f'(x) = 2 ax with respect to x. Assume that a and k are positive constants. k+x

A: To differentiate fx=ax2k+x with respect to x. Assume that a and k are positive constants.

Q: * The z-transform of a signal is given below,its final value z¯¹ (1 - z-4) x(z) = 0.25 (1-z-¹)² 10…

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Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: This question is related to Functions and application of integration, we will solve it using given…

Q: 4x* dx

A: We need to solve the following. So,            ∫-224x4dx=4·∫-22x4dx=4x55-22=4·645=2565

Q: Find the Jacobian for z = ² + 8uv and y = 6uv². Jacobian (equation format)

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Q: Q3) Given, u (x, y) = xy is harmonic, find a harmonic conjugate v(x, y), write u+iv as a function of…

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Q: P1: Calculate the area bounded by the curves: A. y = x² and y² = x.

A: Since you have posted multiple questions which are not interlinked i can do first question(area-A)as…

Q: *y=(2x^2+6) find dy\dx 4x\(2x^2+6) O 6x O 4x\(2x^2+7) O

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Q: 9. f (cosx-sin x)² dx

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Q: = Calculate the area bounded by the curves: A. y = x² and y² = X.

A: Note: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should…

Q: Evaluate the following improper integral or state that it is divergent. * 2 3 dz 6 -1 $4 – 2z

A: ∫-1234-2z6 dz Note:     Multiple questions are given, we are answer with only one question. If you…

Q: h pendant. In one setting, the two diamonds would have a mas e second setting, the mass of two…

A: Topic:- algebra

Q: Instructions 1. Write your complete solution for each item. It should be handwritten. 2. Make sure…

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Q: 18. sin³ x cos x dx

A: Here we will use substitution method for solving this problem

Q: Consider the following. √u-5(6 - ² + ¹0) du Simplify the integrand by distributing u-5 to each term.…

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Q: x+3 x ³ + 8x² +16x S da

A: To evaluate the given integral by using partial fractions.∫x+3x3+8x2+16x dx

Q: 1. Consider the function y = ex²-3x+1. Find the extreme value of the function (classify as minimum…

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Q: √4x²(x³-5)ª dx = Ox³(x¹² - 25x¹ +250x6 - 1250x³ +6250) + c 12 15 O 16(x³ - 5)4 + c ○(x³ - 5)5 + c…

A: To evaluate ∫4x2x3-54dx Formulae used d(xn)=nxn-1d(constant)=0∫xndx=xn+1n+1+c

Q: The table below shows values for four differentiable functions. Suppose we know the following…

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Q: Find the area of the surface that results when y= around the x-axis from x = 1 to x = 2 223 is…

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Q: What is the z-transform of the ?signal x(n)=(0.5)nu(n) Roc |Z| 0.5 Option 1 1 (1-0.5z-¹) 1…

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Q: Q1/ If y" + 2y' F 5y = e-Sint, y(0) = 0, y'(0) = 1 9=41²^² + (2

A: As per bartleby guidelines we only give first question answers.  Let's solve given diffrential…

Q: € +h (1 g+ dy S

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Q: Find the area of the region under the graph of the function f on the interval [4, 5]. 9 f(x) = -2²/2…

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Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: The given function: gx=-4ex.We need to find the slope of the function at the given point.

Q: Find the point at which the line x(t) y(t) z(t) - 5+ 5t -6-8t intersects the z plane. - 7+8t

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Q: 2.2 2.3 Determine whether the series below converges or diverges. Determine the first four terms in…

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Q: C. Evaluads the Sum 20 [ (₁²+3) ² (

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Q: 1. y" + 3y = 18x², y(0) = -3, y(0) = 0

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the limit or show that it does not exist. √x+3x² lim 818 4x - 1

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Q: are cot y dy y³

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Q: Solve the following equations 2)3x+2 = 27 1) 2Ln(√x + 3) + 2Ln(√x-1)=Ln(6x-7) I 1 1

A: Let's solve both equation.

Q: Find the median of 65 70 65 62 64 73 67 60 50

A: Follow the procedure given below.

Q: ?What is order of the equation (y"+2y+3=0) Second order O First order O Zero order O Third order O

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Q: Find a scalar equation of the plane x + 2y + 3z = 0 -x+ 3y - 2z = 0 c. 13x + y - 5z = 9 d. 13x+y- 5z…

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Q: Find the tangent line, in slope-intercept form, of y=f(x) at the specified point. f(x) = - 5 3 2 -1+…

A: Given function, f(x)=5x-3x+2x2f(x)=5x-3x-12+2x-2

Q: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: 8. Determine if point A(-1, -3, 9) lies on the plane T: 8x-3y+2z=4

A: The point lies on the plane if the coordinates of the point satisfy the equation of the plane.

Q: 5x lim x→0 sin 3x

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Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

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