Calculus Answers

Q. Find the fourier series of f(x)=2-x2 on (-2<x<2)

Q. Find the fourier series of f(x)=│x│ on [-π, π]

Q.1: Find the fourier series of f(x)=2-x2 on (-2<x<2)
Q.2: Find the fourier series of f(x)=│x│ on [-π, π]

Find the simplest functions f and g for which
(f∘g)(x)=sin(x7+1).

: Find the intersection points, if any, for each system of equations. An ellipse with verticies (0,-5) and (0,5) and a minor axis of length 8.

: Write the equation of each conic section with the given properties:
A hyperbola with vertices (0,-6) and (0,6) and asymptotes y = 3/4x and y = -3/4x

: Find the intersection points, if any, for each system of equations.

{x^2 + y^2 - 16y + 39 = 0
{y^2 – x^2 – 9 = 0

: Find the intersection points, if any, for each system of equations.

{x^2
{---- + y^2 = 1
{ y = x + 1

: Write each equation in standard form.

Y^2 + 4y – 8x + 4 = 0

: Write each equation in standard form.

X^2 + y^2 - 8x + 10y + 15 = 0