Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 7x2 + y2 and the parabolic cylinder y = 3x2

A vector function r(t) is represented as:

The vector function r(t) that represents the intersection of the two surfaces is  

Given

Let

Substitute in and

Substitute in

Recall that:

Substitute the values of x, y and z.

Hence, the vector function r(t) is:

Read more about vector functions at:

link

whats the question?

step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,