Use this function to show that 1+(1/3^2)+(1/5^2)+...=pi^2/8   f(x)=.5-(Summation from

Q: Find a formula for f^(101)(x) if f(x)= 1/10x-1 f(101)(x)= _____

A:

Q: Can you please help me with this question? Thank you! (b) Let n = 2^2^k. Solve T(n) =…

A: We have to solve the given recurrence relation.

Q: A team of medical researchers determined that t days after the epidemic started N(?) = 10t^3 + 5t…

A:

Q: 1-6 for part A F(x)= 4•2^-x +1

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: xp (x) + xA + x^) xp (1/) + xA + x^)/ (a) (f) (4 x 87 + 4" + 6" In 6) dr 1 dx x In x (g)

A: Take derivative of each term , apply power rule

Q: Differentiate each of the following functions. (Do not use the product rule and quotient rule.) a)…

A: Differentiate wrt x

Q: 28. 5 29. (x + 1)(x – 1) 30. 을 (x-1)5

A:

Q: find a closed form expression for ∑(n=0 to ∞) [(n^2)/(2^n)]

A: The expression ∑n=0∞n22n We need to find the closed form of the expression

Q: integeral of 1/x^3+8

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: express     n-1 Σ((k^2)/n) k=1   in closed form.

A: The given question is related with closed form of finite sum. Given that,…

Q: – (In x)" = 0 –1

A:

Q: The residue of f(z)=1/(z+1)^3

A: f(z)=1(z+1)3

Q: Given, F(x) = 2x+3/4x+5 for x ne-5/4; f^-1(x)

A:

Q: Compute L^−1{ 2e^−3s/s^2+3s+2}

A: Given,            L-12e-3ss2+3s+2

Q: need to be shown how to work this problem sumation where n=0 to infinitive than solve      3^n /…

A: Topic:- function

Q: Find the roots of x^2 + (k^2+1/k) x + 1 = 0

A:

Q: 6.89 x10 (0.0136x10) exp[1271.6/{(1.8x60)+127}]=20.98(10-)

A:

Q: The integral of (x-1)(x+1)^(1/2)

A: Given,

Q: x^2 / (1-x) = 1 * 10^-8 (Hint: assume that x << 1 to make the problem much faster) I have to solve…

A:

Q: Residue of (10e^st)/((2s^2 + 3s +1)(s^2 + 1))

A: Given function is f(s)=(2s2+3s+1)(s2+1)10est​.Step 1: To find residue first we find the…

Q: what do you get when you expand x+4/xy^2?

A: We can make it easier for you

Q: find the power serie representation of( (x-2)^6)/e^x n=0 to infinity

A:

Q: what is csc^−1(csc(3π/5))

A: Given

Q: Suppose that f(x)= x^4+5x^3+5 divided by x^2 find f'(-4)

A:

Q: (14^(3)(x^((1)/(3))y^(-2))^(4))/(2^(3)(7x^(-(3)/(4))y)^(2)) lve the following out the value of

A: To simplify the given expression, we need to use the following rules of exponents: (a^m)^n = a^(m*n)…