dæ 2 (x² + 1)²

Q: Find the general solution of the differential equation. у" - 400у %3D0 ... y(x) =

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. 6s +…

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Q: 5xy = 4x²z – 3yz²; yx and yz.

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Q: f "(x) 2)-1/2 x+2( -3 + 2)-1/2 + 4) -3( 2x+ 2

A: Solving

Q: 1. (32.12) Determine the radius of convergence and the interval of convergence n!(2a - 1)". n=1

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Q: S tan³ x sec x dx sec3 x - sec x + С none of the choices sec³ x + sec x +C 1 sec3 x + sec x +с В

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Q: 32 2 f is continuous and | f(t) dt = 6, find the integral / t* f(t) dt.

A: Given problem:-

Q: Consider the discrete time dynamical system 5x1 . This DTDS has 3 fixed points. Choose the correct…

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Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x + y 12xy -…

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Q: x2 Fusing trigonometric substitution, Jf(x)dx is transformed into n solving for the antiderivative…

A: Given problem:-

Q: Using the rule of 72, how long does it take for country X's production to double? 19 years Using the…

A: answer is in next step

Q: Consider the function below defined on the indicted interval. f(x)= -(10x+x^2), [-10,0] Find the…

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Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y? - 8x + 16…

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Q: Find the average value of f(x)=9x+1 over [4,9]

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Q: Compute the work required to stretch a spring from 4 to 12 cm past equilibrium, assuming that the…

A: the equation to find workdone is; workdone =(1/2)kx^2   given,  stretching the string from 4 to 12…

Q: TVy+1-2 dy can be evaluated conveniently if we let x=VVy+1-2 and dy = 4x(x² +2)dx. T True F False

A: follow next step

Q: After appropriate substitution, the integral expression a* (x2 + 4)? dx can be express as (choose 2…

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Q: 1. Determine the absolute extrema of f(x) = (sin r – 1) cos r on 2 2 if they exist, and identify the…

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Q: Consider the following planes. 3x + 4y − z = 56 x − 8y + 2z = 0 (a) Find the angle between the two…

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Q: Eveluate intelgal 2.

A: Given query is to find the integral.

Q: YA Y= 5X-x² 2. (4,4) Y= x Find the Alea Of the shaded hegion

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Q: Determine the equation in slope intercept form explain in detail how to do Slope = 2 and passes…

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Q: Reduction of order can be used with y = 3x to find a second solution for the DE: xy" + 2xy' + 2y =…

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Q: Consider J sin'x cos²x dx. If we let "=cos x , the integrand can be transformed to. A 2u2 - - | (u²-…

A: The given integral,     ∫sin5x cos2x dx

Q: X+ 6 2) lim х-6 (х-6)2

A: limx→6 x+6(x-6)2=6+6(6-6)2=120

Q: 1 In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution z =tan|…

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Q: Eveleate inter ssin(2x) dx

A: We can find the integration as below.

Q: 3. Let h(x) be a twice-differentiable function with h' (x) <0 and h" (x) <0 for all real numbers x,…

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Q: Given the function g(x) 623 9x2 360z, find the first derivative, g' (x). %3D %3D = (2),6 Notice that…

A: Follow the procedure given below.

Q: Describe the graph of the equation. r = 9cos ti – 19sin t j + k O An ellipse in the plane z = 1,…

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Q: O Yes, Rolle's Theorem can be applied. O No, becausef is not continuous on the closed interval (a,…

A: Given query is to find rolle's theorem can be applied or not.

Q: Evaluate the integral. 28) 335 B)- 215 A) 325 D) 36

A: Given:      ∫05  3x2 + x +6 dx

Q: Consider the function below. f(x) = -4x2 + 24x + 4 (a) Find the critical numbers of f. (Enter your…

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Q: z+3 lies on the y -axis of complex plane, where Q48. If z = x + iy and z + 3, then which of the…

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Q: dx 1.4 Ven(3)+2x dx 1.5 Show steps. Your reasoning is more important than the numerical answer.

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Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

A: We have to find an expression for the area under the graph of f as a limit.

Q: From a club of 17 people, in how many ways can a group of six members be selected to attend a…

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Q: Find the arc length parameter along the curve from the point where t = 0 by evaluating the integral…

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Q: /9-x² dx. Use trigonometric substitution. x2

A: This question is related to indefinite integration, we will we will solve it using given…

Q: Consider / sinºx cos?x dx. |f we let u=cos x , the integrand can be transformed to A / (u²+ 2u+ +…

A: topic - indefinite integral

Q: 58. Particle Motion The position of a particle as it moves along a line is given by s(t) = – 12r +…

A: Given,           The position of a particle as it moves along a line is given by…

Q: If f(x) is odd and ∫−1 5 f(x)dx=14, then ∫1 5 f(x)dx=

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Q: Find:  ∫5-9x/ (x-1)(3x-2) dx  where x > 1.

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Q: S x² +x+1 dx. 2 +2+x³+x 3. 2x

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Q: Sx(x² – 3)11 dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) sinh(5 – 2x) dx

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Q: 1) Plot the following points on a polar coordinate system. a) (1,45°) b) (3.) 2) Convert the…

A: In polar coordinate r,θ,if  r is negativen then add π to the angle . Note : As per our Guidelines ,…

Q: Find the absolute maximum and absolute minimum values of the function S(2) = * + r f(x) for 1 < x <…

A: Given problem:-

Q: Finding a Derivative In Exercises 31-44, find the derivative of the function. sin x 36. у %3D

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Q: S- dy - = 2/y- 5in|Vy+ 5| +C Vy +5 А) True B) False

A: ∫dyy+5Let y+5 =xdifferentiating on both sides12ydy=dx=∫2y dxx=2∫x-5xdx=2∫(1-5x) dx