More Functions

• Video

• Exercise

Plot a graph

Roses (curves Guido Grandi)
ρ=a*sin(k*φ), a and k - steel number (consisting of rose petals k for k odd and 2k for k even)
k = 2 (four-Rose), φ is [0,2π]

Plot a graph

Cardioid

ρ=1-sin φ, φ є [0,2π]

Plot a graph

Consider plotting in polar coordinates.

Archimedean spiral
ρ = aφ, a> 0

1. Let a = 2. In column A, we insert the angle φ on the interval [0,2π] in increments of 0.25.
2. In Column C enter the appropriate formula Archimedean spiral.
3. Convert polar coordinates into Cartesian using corresponding formulas connection between these coordinates.

The relationship between Cartesian and polar coordinates:
x=ρ*cos(φ)
y=ρ*sin(φ)

4) Building a spot-chart based column D i E.

Plot a graph of the function

Build a graph of the function

if function video

Video: https://drive.google.com/file/d/0B-bz1mxPvQYubklHZWNaaVN4ekk/view?usp=sharing

Exercise: https://drive.google.com/file/d/0B-bz1mxPvQYuSy04VVpiRDJ1Y28/view?usp=sharing

Task 3

Build on Sheets 'surface' schedule surface, the formula given in the specified range. In forming tab Data Use AutoComplete with the use of absolute and relative references.

Surface 1

 Surface 2