area of the region bounded by three lines example
Introduction : In this solution, we will determine area of the region bounded by three lines example. A step by step workings is given below. Question: Find area of the…
how to evaluate limit n tends to infinity pi/n^2(summation (r =1 to n) r sin[(pi*r/n)^2]
Introduction : In this post, we will Evaluate limit n tends to infinity pi/n^2(summation (r =1 to n) r sin[(pi*r/n)^2] by converting it into an equivalent integral that makes it…
what is domain of the two variable function f(x,y)=sqrt(xy) and graph is function in space
Introduction : This is the step by step solution of the problem what is domain of the two variable function f(x,y)=sqrt(xy) and graph is function in space. Question: What is…
Find roots
find roots of \[x^2-x-6=0\] Solution : Given equation can be written as \[x^2-3x+2x-6=0\] \[x(x-3)+2(x-3)=0\] \[(x-3)(x+2)=0\] When x-3=0 then x= 3 and when x+2=0 then x =-2 Thus roots are -2,…
Fourier series expansion of f(t)=-t-pi if -pi<=t<0 and f(t)=t+pi if 0<=t<=pi, f(t+2pi)=f(t)
Introduction : In this question, we will obtain step by step Fourier series expansion of f(t)=-t-pi if -pi<=t<0 and f(t)=t+pi if 0<=t<=pi, f(t+2pi)=f(t). Question : Find Fourier series expansion of…
Identify the smooth function whose graph given below and evaluate area under curve for x=-infinity to infinity
Introduction : In this question, we will Identify the smooth function whose graph given below and evaluate area under curve for x=-infinity to infinity Question : Identify the smooth function…
Evaluate first and second partial derivatives of f(x,y)=(x+1)^2 sin (x y) at point P(1,2)
Introduction : Evaluate first and second partial derivatives of f(x,y)=(x+1)^2 sin (x y) at point P(1,2) Question : Evaluate first and second partial derivatives of \[ f(x,y)=(x+1)^2 sin (x y)\]…
Prove that origin is the saddle point of the two variable function f(x, y) = sin(xe^y)-x+3
Introduction : To Prove that origin is the saddle point of the two variable function f(x, y) = sin(xe^y)-x+3 we need to prove that origin is the critical point then…
Find Area Enclosed By Curve and line 2x^3-3x^2-x+2, x=0,x=1
Introduction: In this article, we will solve a question which is to find area enclosed by curve and line that is the area enclosed by a curve and between two…