2º" (n!)" for n = 0,1, 2, .... (0! (2n+1)! xn for n = 1, 2,... .) (Hint: Start by showing that if In 10. Show that f (1- x²)"dx = = 1 and n! = 1 x 2 X .. denotes the integral, then I+1 2k+2 2k+3k.)

Q: race the following curve( x^2+y^2)x=2x^2+y^2   With all steps

A: The given curve is x2+y2x=2x2+y2. Trace the given curve with steps. x2+y2x=2x2+y2

Q: Let f = e^ (− x ^3/ 3) +x−y^ 2 . Find the local minima, maxima and saddle points.

A:

Q: Note that 1/4 ≠ 1/2; but (1/4)^(1/4) = (1/2)^(1/2). Use the hint "y = x^x" to prove that there…

A: Please check next step for details.

Q: Find the smallest postive integer solution to x^2 -29 y^2=1  Can you please solve it by Pell's…

A: The solution to this equation depends on a famous theorem.

Q: Does the I^c mean not identical?

A: Yes

Q: Describe a technique for solving a set of data's numerical derivative. Include the nature of hae…

A: There are several techniques that can be used to numerically compute the derivative of a set of…

Q: This does not make alot of sense. If applying the definition how does the e^-st get moved outside as…

A:

Q: Consider AR(2) X = = $₁ X 2-1 + $₂ X=-2 +²+ A ^ find estimates , & $₂ using method of moments.

A: Consider a zero mean discrete time series xi1N which is an AR process. The equation for AR(2)…

Q: Sketch the graph of y=(x^2 +x +3)/x^2, locate all maximum and minimum values, intervals of increase…

A: we need to graph the given function and also need to find out the critical points, etc

Q: Need typed solution Find the Fourier sine and cosine transform of the function  x^(m-1).

A:

Q: Please solve the function written below by using the Newton-Rapson and spline interpolation meth-…

A: By Newton's Raphson method:Formula:  xn+1…

Q: Use the following methods to solve for the root of the equation f(x) = xe~* – sinx a. Direct Search…

A: Direct search method: If f(x)=0 has a root in between a and b, then divide the interval into…

Q: use the newton's method to find the maximum of f(x)=2sinx-(x^3/10). employing an initial guess of…

A: Given function is fx=2sinx−x310 and x0=0 Differentiate fx=2sinx−x310 with respect to x, we get…

Q: Find the value of J_{-1/2} with the help of J_ {1/2} Explain each step otherwise i will give…

A: We have Jnx  Jnx = ∑ r=0∞-1rr!n+r+1x2n+2r  Jnx = x2n  ∑ r=0∞-1rr!n+r+1x22r Put n = -12 and expanding…

Q: find the root of 3x +sinx -e ^x=0 using secant method

A: Let us consider the function fx=3x+sinx-ex. We have to use the secant method to find the…

Q: find the roots using newtons raphson. Stop until at 15th iteration or when approximate percent…

A: Given function is f(x)=2x4+13x3+29x2+27x+9            (1) Using Newtons-Raphson method, we have to…

Q: Solve the following variable separable equation Cosydx + (1 + e^- x) sinydy = 0

A:

Q: May I try this one again?  In the answer given the fourth line down has "u^2=t^2+1" and I believe…

A:

Q: please differentiate the function

A:

Q: rconh(3x+1) - 5t +ldt f(x)= sinh³

A:

Q: (x-2)2 – In x = 0, [1,2]

A: Sol

Q: Note that 1/4 ≠ 1/2; but (1/4)^(1/4) = (1/2)^(1/2). Prove that there exists infinitely many pairs of…

A: We will first parametrize the equation : aa = bb  Then we will eliminate the trivial solution : a =…

Q: can we calculate the derivative of a matrix and the nth root of a matrix ?

A: Yes, derivative of a matrix and the nth root of a matrix both can be calculated.

Q: Question 1 Apply the First Derivative Test to find the minimum value of f(x)=(2x^+2)/x² . Keep 4…

A: The given problem is to find the minimum value of the given function using the first derivative…

Q: maximum point

A:

Q: in

A:

Q: Solve the following DE: \(x^3y + 8x^2y=x^{-5}\cos{x}\)

A: