Calculus Answers

determine the points of inflection of the curve, y= x⁴–4x³–18x²+1, if any.

Find the surface area of the solid formed by the rotation of an arc of the cycloid
x= a(θ+sinθ), y = a(1+cosθ) about the axis of x.

Find the length of the curve, 2y² = x³ from the vertex (0,0) to the point (4,4√2).

Find the maximum possible domain and corresponding range of the function f defined by f(x) = {√(1–x²)/(x–2)}

Find the angle of intersection between the curves x²+2xy–y²+2àx = 0 and 3y³–2a²x–4a²y+a³ = 0 at the point (a,–a).

Check whether the given function is odd or even
f(x) = ln|(1-e⁻ˣ)/(1+e⁻ˣ)|

please its urgent answer it.

A particle P has velocity (3i+j)m/s at a time t=0, The particle moves with constant acceleration a=(2i+3j)m/s square. Find the speed of the particle after 3seconds.

Differentiate from first principle square root of (x+√x).

use Leibnitz theorem to evaluate the fourth derivative of \\(\\left(2x^{3}+x^{2}+x+2\\right)e^{2x}\\)

find the total differential of the function \\(f(x,y)=ye^{x+y}\\)