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…
how to find 15th term of the progression 3/2 3/4 3/8 …..
Question : how to find 15th term of the progression 3/2 3/4 3/8 ….. We shall check the following second term/ first term = (3/4)/(3/2) =2/4 =1/2 third term/second term…
what is geometric progression what is n term formula of geometric progression
Question : what is geometric progression what is n term formula of geometric progression? Solution : Geometric Progression is defined as follows general term of a geometric progression is ar^(n-1)…
how to divide 15 into three numbers which are in ap and the sum of their squares is 83
Question : how to divide 15 into three numbers which are in ap and the sum of their squares is 83 Solution : Those numbers are 3,5,7
how to find the the sum of n terms of an ap whose sum of 8 terms is 64 and the sum of 19 terms is 361
Question : how to find the the sum of n terms of an ap? whose sum of 8 terms is 64 and the sum of 19 terms is 361 Solution…
how to find ap if 7th term and 13th term of an ap are 34 and 64 respectively
Question : How to find ap if 7th term and 13th term of an ap are 34 and 64 respectively? Solution : Thus we explained the step by step process…