Search & Filtering
determine the integral of function x^2 -x -6/ x +2 dx
determine the integral of function ( ο»Ώο»Ώο»Ώx^3 -2 )(x^4 -8x)^0.5 dx
Question:
A particle moves such that its vector is given by π
= cos ππ‘π + sin ππ‘π where π is a constant. Show that:
(i)
Velocity, π£
of the particle is perpendicular to π
(ii)
Acceleration, π
is directed towards the origin and has magnitude proportional to the
distance from the origin.
(iii) π
π π£
is a constant vector
Question:
If π and π are two sides of a right angled hypotenuse π and let π be the perpendicular from the opposite
vertex on the hypotenuse, show that:
1. (πΏ π/πΏπ)bΒ =b3/c3
2. (πΏπ/πΏπ )A=b/c
Consider the function f(x) = 5 ; for x < 0 0, for x = 0 5, for x > 0
Show that f has no limit as x approaches 0
Find the fourier series of f(x)=x^2+x
Find the fourier series of f(x)=x^3
Find the fourier series of f(x)=x^4+2x
Find the fourier series of f(x)=|x|
Question:
If π and π are two sides of a right angled hypotenuse π and let π be the perpendicular from the opposite
vertex on the hypotenuse, show that:
1. (πΏ π/πΏπ)b =b3/c3
2. (πΏπ/πΏπ )A=b/c
Question:
Find the equation of the tangent plane and normal to the surface
2π₯π§2 β 3π₯π¦ β 4π₯ = 7 at point
( 1, β1,2 )
