(4) Σ n=2 3n η3 x 5m (4)

Q: Integrate. √ ( 7x² + 2/17 - 0²³) 0 3x 4+ dx = 0 +C

A:

Q: Numeric Response 1. The Math Department is made up of ten math teachers, 4 male teachers and 6 fema…

A:

Q: kp - x² + 5x²+4x = 12+ + 30e to) = (0) (250)P x(0)=1, x'(0)=3 Solve the above IvP and then find OH…

A:

Q: Find C (x.y) if C(x,y) = 8x? + 12xy – 14y? + 4x- 11y – 112. Cx (x.y) = D

A:

Q: 1. y = ao Σm=o(−1)m(2m + 1)x2m + ai Σ=o(-1)"(m + 1)x2m+1

A: 1+x2y''+6xy'+6y=0

Q: Obtain the value of P3 (x) using Rodrigues' formula d" P,(x) = (x² – 1)" (2")n! dx"

A:

Q: Write the general solution of the ODEs by finding two power series solutions about the ordinary…

A: The differential equationTo find the series solution about x=0, ordinary points.

Q: Using Rodrigues' formula for Pn(x), (T) (i) Pn(-x) = (-1)" P₂(x) cl

A:

Q: (x)u[ S -dx 陇

A:

Q: 1. Find a power series for each of the following, centered at a = 0 for parts (a) (d) and centered…

A: (a) Given data: The given expression is 4/(1+2x). The expression for the power series of the given…

Q: Ο Σ n=1 (-5) " 32n

A: I have used simple trick of geometric sum.

Q: Find t(4)(n) for the function t(n)=3n-1/3 +2n5/3

A:

Q: Evaluate. √26 S 6x²√1+x² dx √26 S 6x³√/1+x² dx = 0 (Type an exact answer.)

A: