Find the sum of the convergent series. 1 8- 1+ 8. 64 Submit Answer

Q: 1. Find the dy/dx of (2 Points) OY OY- 30"

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Q: 5n-3 Find the sum of the series: n!

A: The given series is sum of x5n-3/n! ,n from 0 to infinity.

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Q: 1 Evaluate | (x²sin y- xcos(y))dy O 2sin y-3cosy + C 6 -3sin y+2cosy +C 6 x2(1- cos(1)) – xsin(1) + ...

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Q: 14. Evaluate * lim,-> 2-5x

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Q: Find the general solution to the differential equation. y' = 6xy2 y

A: The given differential equation,         y'=6xy2

Q: The Maclaurin series of the function f(x) = 9 cos(10z?) %3D can be written as f(x)= Cna" where a few...

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Q: Evaluate the integral: fe2 /1+ e2 dx

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A: Solved below

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Q: Suppose æ = 6, 0 = 15° and o = 75° in the figure, which is not drawn to scale. Find the following. (...

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Q: help in 30mins pls

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Q: Write an inequality with x isolated on the left side that is equivalent to the given inequality. Mx ...

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Q: 1. Find the particular solution to the following differential equations d²y а. dx2 d²y b. – 4+3y = 0...

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Q: 2w - kW , find k. Let W =cos(5x) cosh(3y) sinh(4z) . If dx2 + + dy2 dz2 Note : If your answer is -16...

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Q: an=(tan-1(n))/n, limn->infinity an=?

A:    limn→∞ arctannnlimx→afxgx=limx→afxlimx→agx,   limx→agx≠0=limn→∞ arctannlimn→∞ n=π2∞ Apply Infinit...

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Q: Question 22 Find all the first order partial derivatives for the following function. f(x, y) = 9x - ...

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Q: . Designing a Norman Window A Norman window has the shape of a rectangle surmounted by a semicircle ...

A: I am attaching image so that you understand each and every step.

Q: Direction: Determine the type of error committed of the following problems and explain why. Write yo...

A: As per the instruction, we will be answering only the first one. For (a), Statement: Maria insists t...

Q: хр %3D S + X хр Find at (-7, 1) if xy: %3D (Rou

A: We have to find dy/dx   at (-7, 1) 

Q: Find the general solution to the differential equation. x2y' = (x + 9)y

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Q: Find dy/dx. No need to simplify. With explanation

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 9n + n 8n -...

A: The given series is: ∑n=1∞9n+n8n-1 Let, an=9n+n8n-1, n≥1

Q: > A Moving to the next Question 2 dz Let z = 6e*v find O 12xy e**y O 18xy e**v O 18x*yex*y A Moving ...

A: Find the derivative

Q: Which of the following is NOT true about the graph of parabola with equation in standard form (y - 1...

A: In order to check the points we need to compare the equation of parabola with the standard equation ...

Q: _8_3z Find a simplified series representation of z°ez Σ answer = n=0

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Q: 9. What is the slope of the curve at the given point? 5x? + 2xy – y = -3 at (,2)

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Q: Evaluate the following integrals. Express the final answer in its simplest form and without negative...

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Q: Find the indicated vector. Let u = (8, 3), v = (8, -6). Find v - u. (-5, -14) (16, -3) O (-14 5) O (...

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Q: 6. Determine the y'of * y = eese 3x

A: topic- derivative of a function

Q: If f(x)=3x^2-2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x) at the point (10, 2)

A: Given f(x) =3x²-2  And g(x)=1-f(x) =1-(3x²-2) =1-3x²+2 g(x)=-3x²+3 For slope of curve g(x) different...

Q: Find the general solution to the differential equation. y' = eyx6 y =

A: Given :y'=eyx6

Q: 9) y= 3sin 0 +2 %3D TC 3T 2

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Q: CALO2- INTEGRAL CALULUS INTEGRALS OF TRIGOMOMETRIC FUNCTI ONS HTE GRATE Hも FO110WIN の 5) (xcot (10x?...

A: A detailed solution is given below

Q: 3. The ratio of two numbers is 2:5. If one number is 3 more than twice of the other number, what are...

A: We have given that  The ratio of two numbers is 2:5 Let the two numbers be 2x and 5x. We have also g...

Q: Express the vector in the form ai + bj + ck. PĮP2 if P 1 is the point ( -6, 3, 6) and P 2 is the poi...

A:  A vectoe  from point A(x1 ,y1,z1) to  B(x2 ,y2,z2) is given as AB→=(x2-x1)i+(y2-y1)j+(z2-z1)k

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Q: ind the general solution to the differential equation. dx dt = 3t2(x2 + 25) x =

A: topic- differential equations

Q: Differentiate. y = 8t2 - 5t + 1 %3D

A: Given y=t28t2-5t+1

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Q: Determine convergence or divergence by any method. Š (-1)"n n=0 Vn2 +5 The series diverges, since li...

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Q: Using Maclaurin series, determine to exactly what value the series converges. Σ (In(5))" n! n=0 (Use...

A: Maclaurin series  : f(x) = ∑n=0∞ fn(0)n! xn = f(0)+f'(0) x +f''(0)2!x2 + f'''(0)3!x3  + ...

Q: For the equation given, find dy 5x3,2 5x³y² – 5x²y = 9 хр Ap pui хр 1.

A: We will do implicit differentiation with respect to x

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Q: 1. Decide the limit: lim 2x + 3 x-3 2. Explanation

A: Solving the problem by finding the limit of the function.   NOTE :: As per our Expert guidelines we ...

Q: Determine the present value P that must be invested to have the future value A at simple interest ra...

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