Find dx2 Given: -2xy – 2y² = 1

Q: obtain the Maclaurin series for V1+x.

A: We need to find the Maclaurin series for 1+x9

Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or...

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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: Find the radius of convergence and the interval of convergence. k +8 Radius of convergence: Interval...

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Q: æ(t) 6 y(t) = et + 11 (a) Cartesian Equation, be sure to express your answer as an equation: (b) Ran...

A: Given query is to find the value equation I'm Cartesian form.

Q: dx - 7y*; when y=1,x=-1 1. 2. (4+sine*)y' =e*(6sec e* -ycose");y(ln x) = 1/4

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Q: k If u = f(x), then f dx x4+2x²+1 +C for some constant k . Compute kf(1). x2+1

A: topic - functions and indefinite integral

Q: The integral reduces to Sk, where u = f(x) and for some constant k . Compute f(1). e*+1 e+1 A B e-1 ...

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Q: find the function y(x) satisfying dx/dy=5x ^(-6/7) and y(-1)=-2

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

A: Given :f(x)=exx0=7

Q: 9 Evaluate xp.

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: (10xy + 8y - 32y +7)dx+ 2(x +2xy– 4x)dy =

A: To solve the differential equation , I have used the method of exact differential equation and then ...

Q: The region enclosed by the curve y = sech x, the x-axis, and the lines x= +1In /3 is revolved about ...

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Q: If k-P converges, then k-p+0.001 converges. k=1 k=1

A: If ∑k=1∞k-p converges, then ∑k=1∞k-p+0.001 converges.

Q: When the linear differential equation is multiplied by an integrating factor the equation will becom...

A: Answer of given question is written in below steps.

Q: k If u = f (x), then f dx x4+2x2+1 +C for some constant k . Compute kf (1). x2+1 %3D

A: We have to find kf(1).

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: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x 1 f(x) = 1 + + ...

A: Let's find. 

Q: an exponential function y f(x). (2,8.64) (1,7.2)

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Q: 1.J347x2+12x .s 3x2+8x-12 dx

A: 1). Given: I=∫3x2+8x-12x3+7x2+12xdx We know that; ∫1ax+bdx=1alnax+b+C   Note: As per Bartleby guidel...

Q: The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m² and then divide ...

A: Solution is written in below steps.

Q: +o0 а. n п+2 n=1

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Q: Find each limit in Problems 37-60. Note that L'Hôpital 's rule does not apply to every problem, and ...

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Q: Sz(t) = t³ ly(t) = t2 а. S#(t) = t cos(t) b. ly(t) = t sin(t) Jz(t) = t² l y(t) = t² с. S z(t) = t³ ...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycotx)dx=0is

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Q: (2x² +)x dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the pow...

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Q: Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integral is f f(u)du. Find f ().

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Q: Use sigma notation to write the Maclaurin series for the function 5 In(1+x) Σ

A: To find: The Maclaurin series of the function f(x)=5ln(1+x). Concept used: The Maclaurin series is f...

Q: 8. Show your complete and step by-step solution. dx 6. Evaluate – 16r? 2e" 7. Evaluate +4e'+6 8 Eval...

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Q: Prove that the given equation is a solution to the given DE: 1. %3D Gjезх + Сzе 2х + Сзе*; у" — бу" ...

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Q: The integral / 2/ (*) cos(2*) dx takes the form k cosu du when u=2* and f (x) =x – 5. what is the va...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Topic:- application of derivatives

Q: Evaluate the integral. In(10 x 9) dx +C

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Q: (2x² +)x (x8 + 4x5 + 4x²)2 Using u-substitution and transformation of the integrand, then the power ...

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Q: Determine whether the following sequence is convergent or divergent. Justify your answer. {1+u^ = w^...

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Q: Given: S 5x² cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f (*):- ... 5/7 5/...

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Q: (x – h)? + y? = r² O y " +(y')² + 1 = 0 O y" +(y')² = 0

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Q: Determine whether the alternating series converges. 51n k | k k=3 O The series converges. O The seri...

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Q: k If u = f(x), then ſ dx x++2x2+1 +C for some constant k . Compute kf(1). x2+1 ... 1 (A 4 1 © -1

A: I =∫xx4+2x2+1 dxI=∫x(x2+1)2 dxu=x2+1du = 2x dxx dx =du2

Q: 1 dx cos x 7. . /3 1+sin x 8. cos rsin r dr. 9. cos rsin?r dr. COS

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Q: The function f(t) = 5(1.3)' determines the height of a sunflower (in inches) in terms of the number ...

A: As we know that; The average rate of change between the interval t1≤t≤t2 is given by; Average rate o...

Q: Evaluate f-4*3 dx In4 b,- -3in4 +C C. In 64 d. none of the above Evaluate f4x cosx dx a. sin x + C b...

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other...

Q: ew PollCies Current Attempt in Progress Find the general term of the sequence, starting with n = 1, ...

A: Topic:- sequence and series

Q: Write the first five terms of the sequence, give the exact answer: +00 In +1Sm-1 Determine whether t...

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Q: Find the derivative of f(x) = sec(tan(x) + cot(x))

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Q: Determine f(x) so that | cos(In?x) f (x) dx = sin(In?x) + C

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Q: II Simplify the following: 1. (ĀNBNČ) U (Ā nBN C)U (ĀNBNČ)U (ĀNB N C) U (A OBNČ)U (ANBN C) a. ĀU B b...

A: Distributive Property: (i) A∩BUC=A∩B∪A∩C(ii) A∪B∩C=A∪B∩A∪C Identity Law: (i) A∪A¯=U(ii)A∩U=A(iii)A¯∩...

Q: 1. If x - y = 25, then y" = c.) d.) - a.) b.) 2. If y = cos(3x+1), find y a.) 3 sin(3x+1) b.) -3 sin...

A: Authoring guideline: As per the authoring guidelines, we can solve only the first three parts. Repos...