Draw a graph of the rose curve.

r = 4 cos 2θ, 0 ≤ θ ≤ 2π

Attachment

Step-by-step explanation:

Given:

where,

We need to draw the graph of polar curve.

It is flower shape graph.

whose number of leaf would be n

Here, we have polar equation

Coefficient of Ф is 2

Number of leaf should be 4. We will draw the graph using graphing calculator.

Please see the attachment for graph.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

answer: i think it is (1,-2)