Angle Between Radius Vector and Tangent | tan𝜙=𝑟(𝑑𝜃/𝑑𝑟) and cot𝜙=1/𝑟(𝑑𝑟/𝑑𝜃)

Introduction to Mechanical Engineering Module 1: Role in Society | 10-Mark Solved Exam Paper

Integral calculus 1

if r=xi+yj+zk and r=|r| then PT delr^n=nr^n-2r

Compute curl of v(x,y,z)=xyz^2i+xy^2zj+x^2yzk | Vector Calculus

Prove that del(1/r)= -(1/r3)​r= -(1/r2)r^

Normal Vector Explained | Vector Valculus

Find a Unit Normal to a Surface xy^3z^2 at a Point (-1,-1,2)

Angle between two surfaces | Vector Calculus

Find the angle between the surfaces x2+y2+z2=9 and x2+y2-z=3 at the point (2,-1,2)

Rank of a matrix | Echelon form | Elementary row transformation

Divergence of a Vector Point Function ∇ · 𝐅 = ∂f₁/∂x + ∂f₂/∂y + ∂f₃/∂z | Vector Calculus

Curl of a Vector point function, 𝐅 = f₁𝐢 + f₂𝐣 + f₃𝐤 | Vector Calculus

Find gradϕ when ϕ = 3x²y – y³z² at the point (1,-2,-1) | Vector Calculus

If  ϕ = log(x² + y² + z²), then Find ∇ϕ + |∇ϕ| at the point (1, 2, 1) | Vector Calculus

Find divF & curlF where 𝐅 = ∇(x³ + y³ + z³ – 3xyz) | Vector Calculus

If ϕ = 2x³·y²·z⁴, finddiv(grad ϕ) at (1,1,1) | Vector Calculus

PT del r = 3 (∇·𝐫 = 3 (Divergence of r) ) and del x r = 0 (∇×𝐫 = 0 (Curl of r)) | Vector Calculus

Find divF & curlF at the point(1,2,3) if F=grad(x^3+y^3z+z^3x-x^2y^2z^2) | Vector Calculus

If V=wxr, PT𝐰 = (1/2) ∇ × 𝐕 or curlv=2w (∇ × 𝐕 = 2𝐰)where w b a constant vector | Vector Calculus

Find Divergence & Curl of the Vector V = xyzi+3x^2yj+(xz^2-y^2z)k at (2,-1,1) | Vector Calculus

Find curl(curlA) where A = xyi + y^2zj + z^2yk | Vector Caculus

Gauss Jordan Method | x+y+z=9, 2x+y-z=0, 2x+5y+7z=52

Vector Differential Operator | Gradient, Divergence & Curl Explained with Example

Cross Product Explained | Right-Hand Rule

Unit Vectors Explained | Definition, Formula & Example | Vector Math Made Easy

Find curl(curlA) where A = (xy)i + (y^2 z)j + (z^2y)k | VECTOR CALCULUS

DOT PRODUCT | VECTOR CALCULUS | ENGINEERING MATHEMATICS

Gradient of a Scalar Function Explained | Real-Life Examples & Intuition!

If F = (x+y+1)i + j - (x+y)k, then show that F.curlF=0 | VECTOR CALCULUS

POSITION VECTOR | VECTOR CALCULUS | DEFINITION FORMULA OF A POSITION VECTOR

MAGNITUDE OF A VECTOR | VECTOR CALCULUS | DEFINITION FORMULA OF MAGNITUDE OF A VECTOR

CLEAR UNDERSTANDING OF Dot Product | VECTOR CALCULUS

Find values of λ & μ for consistent system: x+y+z=6, x+2y–3z=10, x+2y+λz=μ | Linear Algebra

VECTOR CALCULUS | VECTOR | WHAT IS VECTOR IN MATHEMATICS

Rank of a matrix | Echelon form | Elementary row transformation

Solve the system of equation using gauss's elimination method x+2y+z=3, 3x+2y+z=3, x-2y-5z=1

Rank of a matrix | Echelon form | Elementary row transformation

Rank of a matrix | Echelon form | Elementary row transformation

Solve the system of equation using gauss's elimination method x+2y+z=3, 3x+2y+z=3, x-2y-5z=1

Rank of a matrix | Echelon form | Elementary row transformation

L'Hospital Rule | Indeterminate Forms | Engineering Mathematics | Sem 1 | module 2

Algebra of matrix | Sum/Difference | product of matrices

Linear Algebra | Module 05 | Matrix | different types of matrices

Expand tan-1x in ascending powers of x upto 1st three non-zero terms and ShowThat π=4(1-1/3+1/5-...)

Expand log(1+cosx) by maclaurin's series up to a term containing x^4.

Expand e^x/(1+e^x) Using maclaurin's series upto third degree terms.

Maclaurin's expansion of loge(1+e^x) up to fourth degree terms.

Expand e^x loge(1+y) using Taylor's series expansion

Expand e^(xsinx) in ascending powers of x up to the fourth degree terms.

Expand e^sinx as maclaurin's series up to the terms containing x^4

Expand cosxcosy in powers of x and y up to terms of third degree

Expand e^y loge(1+x) using Taylor's series expansion

Expand, tan(π/4+x) upto the fourth degree terms.

Expand loge(1+x+y) in the neighborhood of (0,0) up to the second degree terms.

Expand cosxcosy in powers of x and y up to terms of third degree

Maclaurin's series, prove that √(1+sin2x) = 1+x-x^2/2-x^3/6+x^4/24...

Maclaurin's expansion of function log(1+x) and hence deduce that log√(1+x)/(1-x)=x+x^3/3+x^5/5+...

Expand log(1+sinx) in powers of x upto the term x^4

Expand tan-1(1+x) as far as the term containing x3