How to find roots of x^3-3x^2-16x+48=0 if the sum of two of its roots being equal to zero ?
How to find roots of x^3-3x^2-16x+48=0 if the sum of two of its roots being equal to zero ? Answer : To find roots of x^3-3x^2-16x+48=0 if the sum of…
how to write a matlab program to solve x+y=3 y+z=5 z+x=4 by cramer rule
Question : Write a matlab program to solve x+y=3 y+z=5 z+x=4 by cramer rule Solution: % Cramer Rule to solve system of linear equations, AX = B;% Let's denote matrices…
what is a matrix? Give some examples
Question : what is a matrix? Give some examples Solution : Matrix : Matrix is an arrangement of objects in rows and column. Mathematically We define a matrix as a…
What is gradient ? Write a gradient example
Question : What is gradient ? Write a gradient example Solution : Gradient Gradient is an vector operator that operates on a scalar function and obtained it's vector differentiation. It…
How do you find gradient of modulus of position vector?
Question : How do you find gradient of modulus of position vector? Solution : We shall find gradient of modulus of position vector as follows Position vector of an object…
What is curl of a vector? how do you find curl of position vector ?
Question : What is curl of a vector? how do you find curl of position vector ?. Solution : Curl : Curl of a vector is an operator that operates…
Prove that curl of position vector is zero vector
Question : Prove that curl of position vector is zero vector. Solution : We shall Find curl of position vector as follows We know position vector is represented as \[\vec{r}=x\hat{i}+y\hat{j}+z\hat{k}\]…
Evaluate the double integral of 3x+7 from x= -5 to 5 and y =0 to sqrt(25-x^2)
Question : Evaluate the double integral of 3x+7 from x= -5 to 5 and y =0 to sqrt(25-x^2) \[\int_{x=-5}^{5}{\int_{0}^{\sqrt{25-x^2}}\left(3x+5\right)dydx=}\] Solution : We shall process as follows to Evaluate the double…
Use method of substitution to Integrate sqrt(25-x^2) from x =-5 to x =5
Question : Use method of substitution to Integrate sqrt(25-x^2) from x =-5 to x =5 Solution : We shall Use method of substitution to Integrate sqrt(25-x^2) from x =-5 to…
Evaluate double integral x = 0 to 3 integral y =x to 3 of (3+xy) dydx
Question : Evaluate double integral x = 0 to 3 integral y =x to 3 of (3+xy) dydx Solution : We shall proceed as follows to Evaluate double integral x…