Find the unit tangent vector to the curve at the specified value of the parameter. п r(t) = 7 cos(t)i + 7 sin(t)j, 3 3 Need Help? Read It Talk to a Tutor II

Q: sin ;cos T = 6.

A: To find sin-π6=     cosπ=

Q: Sketch the curve r = 3 sin(2θ)

A: To sketch the curve r = 3 sin(2θ) It's amplitude lies between -3 to 3  At θ = 45°, sin(2θ) =…

Q: Find the for the radii vector maxima and minima the Curve 2. a 2. sin'o Costo

A: Our objective is to find the maxima and minima for the radio vector of the curve.

Q: 2- 1- 3一寸

A:

Q: Find  when y = sin x.

A: Consider the following equation:

Q: r = cot 0 * csc 0

A: Given: r=cot θ×csc θ To Express: The given function in cartesian form. Formula used: cot θ=cos θsin…

Q: Determine an equation for the sinusoidal function shown: vv (-4x/3, 2) (141/3, 2) 14n (5ェ3, 4)

A:

Q: The derivative du forthe funchion 4=cot vi4-x

A:

Q: Find the horizontal and vertical tangent lines of the cardioid r = 11-11 sin(0). (Express numbers in…

A:

Q: Sketch the curve r= cos 2θ

A: Symmetric test for polar coordinates r=f(θ): If f(θ)=f(-θ) then graph is symmetric about polar…

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.