d²y dy y = e * is a solution of dx2 = 0 dx

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A: The given series is: ∑n=0∞(-1)n(x+2)n(n+1)422n...(1) Let, an=(-1)n(x+2)n(n+1)422n, n≥0

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A: Here is the solution of the given problem. 

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A: answer is given below .

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A: Use  appropriate test for checking the convergence of series.

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Q: The Taylor series for f(x) = e" at a = -1 is > Cn (x + 1)". n=0 Find the first few coefficients. CO ...

A: Taylor series for f(x) at a  is given by f(x)=f(a)+f'(a)(x-a)1!+f''(a)(x-a)22!+f'''(a)(x-a)33!+f'v(a...

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Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.001x° +0.07x + 14x + 70...

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Q: S(e* + 1)² dx

A: Solving the problem by finding the integration.

Q: - 121, (11,-11) the correct graph below. O B. OC. O D. 20- 20- -20 w gmrm 20 -20 20 -20- -20 quation...

A: We will use the concept of tangent line.

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Q: V4x°. lim 6 - x (d) x' +5 x² – 49 lim (e) Vx+2 -3

A: This question is based on Limits solving by analytical methods.

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Q: u = (2, 11), v = (-5, 2) %3D %3D (a) A.n (b) n n (c)

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you ...

Q: dy at the point (1, ). dx nt) For the equation given below, evaluate 41 +7 x– 5v dy at (1, ) - dx

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Q: Consider the function f(x)=1/x+4. Complete the table of values below. x f(x)=1/x+4 -1000...

A: The given function,       fx=1x+4

Q: Problem 1: Evaluate the ff. indefinite integrals. S (12x5 – 6x3 - 4x + (Vã + v3)°dx S (** -+ 2ex) dx...

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Q: 7x Find the linearization L(x,y) of the function f(x,y) = e cos (5y) at the points (0,0) and

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Q: 5. The concentration of a drug in the bloodstream t hours after the injection is given by is the con...

A: C(t)=4.35 e-tRate of change of concentration;dCdt=ddt(4.35 e-t)dCdt=-4.35 e-tRate of change after 1 ...

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A: 6. Yes because exponential function is always differentiable.  7. Yes because it is everywhere diffe...

Q: The radius of convergence of the series 2- is equal to ........

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Q: Distinguish Between Partial Derivative and Ordinary Derivative ?

A: ## Distinguish  Between Partial Derivative and Ordinary Derivative....

Q: If f'is continuous, f(1) = 0, and f '(1) = 7, evaluate %3D lim (1 + 5x) + f(1 + 6x)_

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Q: Draw a dependency diagram, and write a chain rule formula for and where u g(m) and m fip.q). Choose ...

A: u = g(m)  and  m=f(p, q)main function is of one variable mandm is of two variables.Hence,∂u∂p=dudm ∂...

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Q: Find the volume between the cone x = sqrt(y^2 + z^2) and the sphere x^2 + y^2 + z^2 = 4

A: The cartesian to spherical conversion is given by: x=r cos ϕy=rsin ϕ cos θz=r sin ϕ sin θ Now, in th...

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Q: 4. (3x – y)2 = 6x + 2y + 23 @ (1,-2) 5. x(x² – y²) = 3 @ (-1,2)

A: 4) (3x-y)2=6x+2y+23, @(1,-2) 5)x(x2-y2)=3, @(-1,2).

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Q: Find the interval of convergence of the series k(x+ 2)* 5k+1 k=1

A: The given series is: ∑k=1∞k(x+2)k5k+1...(1) Let, ak=k(x+2)k5k+1; k≥1

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Q: Calculate R3 and L3 for f(x) = x² - 7x + 4 over [1,4]. (Give your answers as whole or exact numbers....

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Q: 24 Σ 28. 3"-1

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