Find the differential equation whose solution is given by y? = 4ax ydx – 2xdy = 0 O ydy – 2xdx = 0

Q: An+1 -to determine if the sequence is strictly increasing or strictly decreasing. Use the ratio 1 5n...

A:   The given series is n5n+7n=1∞ Let the sequence  an=n5n+7. Now, an+1=n+15n+1+7.  

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A: LetI=∫ 4x32x+1dxPut 2x+1=u2x=u-1x=u-12differentiate 2dx=dudx=du2I=∫ 4u-123udu2I=∫ 4u-138udu2I=∫ 14u-...

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A: Solution is written in below steps.

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A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

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A: Solution is written in below steps.

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Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: | cos* (;x) dx y =

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Q: Use the difference an+1 an to show that the sequence {n – 8"} +oo In=1 is strictly increasing or str...

A: The sequence{n-8n}n=1∞

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Q: Write the complex number in polar form with argument 0 between 0 and 2n. -1 - V3i

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Q: p-

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A: topic - application of derivatives

Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t and x = sec-1t

A: To find: The value of dydx in terms of x and y. Given information: y=csct,x=sec-1t  

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

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Q: メ+

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Q: n + 3 n- 1

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Q: . The standard form of the first order linear differential equation x y'+xy +2 = 0 is,

A: This question is based on to form a standard first order differential equation.

Q: Eliminate the parameter to find a Cartesian equation of the curve. x(t) = t² + 5 y(t) = 40 – 8t (a) ...

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Q: -1)k+12 11 17.-(6k – 7) Use the formula for the binomial series: (1+ x)" = m(m-1)2 t … + m(m-1)(m-k+...

A: Here, the given function is: f(x)=1+66 And, the given binomial expansion is: (1+x)m=1+mx+m(m-1)2!x2+...

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: As we know that the nth order Taylor's polynomials at x=x0 is given by; pn=fx0+x-x011!f'x0+x-x022!f'...

Q: 1 (a) 23k + 2 00

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Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function ...

A: Given graph,

Q: Verify that the indicated function y = Q(x) is an explicit solution of the given first-order differe...

A: Solution : when y=125-x2y'=-125-x22×-2xy'=2x25-x22y'=2xy2thus in terms of x,2xy2=dydx

Q: Practice: Find the volume of the solids generated by rotating the area bounded with the given functi...

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Q: a. 2 sec (5x²) tan(5x²) + C b. tan (5x) + c c. 10 tan (5x) + c d. none of the above 27. Evaluate csc...

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Q: Obtain the general and particular solution 4. xydx + (x² + y²)dy = 0

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A: Given

Q: cot 2x dx J Vcot2x – 15 cot²2x

A: Here we have to evaluate I=∫cot2xcot22x-15dx

Q: Find the differential equation whose solution is given by y^2=4ax

A: topic - differential equations

Q: 8. . cos*xsinºx dx.

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Q: Use sigma notation to write the Maclaurin series for the function 11 In(1 + x)

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: The given sequence,      17, 179, 1792, 1793,......

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. Σ (-1)*+1 k7/6...

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