<span>Given:
r
= 3 sin 2θ</span>
<span>
Find:</span>
Graph
that matches the polar equation
<span>Solution:
Use the polar graph type in the graphing calculator and enter the following
values: 3sin (2 theta).</span>
<span>Please
see the attached image for the answer. The graph would look like butterfly
wings.</span>
<span>2/3 and 24/36 and 6/9
for 2/3 just dvide by 6, 24/36 just multiply both terms by 2 and for 6/9 just divide by 2</span>
The area of the lion is 6m
Because: This shape is difficult to find the area of so lets break it up into a square an 2 triangles. The squares dimensions are 2mx2m, to find the area of this we multiple them together to get, 4m. Next the triangles are the same dimensions so finding one, we find the other. The dimensions of these are 2mx1m. To find the area of a triangle you multiple the 2 sides (not the diagonal side) and divide by 2. 2x1 is 2, divided by 2 is 1. So the area of both of the triangles is 1. Now we just need to add all of these together. 4m+1m+1m= 6m
4.110 is the greater number
Answer:
Ok, we know that we can write a horizontal translation as:
y' = f(x - A)
where if A is positive, this moves the graph of f(x) A units to the right.
Why is this?
Ok, let's compare:
y = f(x)
and
y' = f(x - A)
in y, when x = 0 we have f(0).
While to have this same point in y', we need to evaluate in x = A.
f(A - A) = f(0).
Then the value f(0) is now at x = A, this means that the point moved A units to the right.
And you can do this for all the values, so you will find that the entire graph of f(x) has ben moved A units to the right.
