Consider the set of points defined by z = 5 cos(theta) + 3i sin(theta).

Mathematics

1 answer:

vitfil [10]3 years ago

4 0

Answer:

This is an ellipse.

Step-by-step explanation:

$z=5cos(\theta)+3isin(\theta)$

Applying the angle values in intervals of right angles (90°), the resulting set of values for z are:

$\theta = 0,90,180,270,360$

$z=5,3i,-5,-3i,5$ (again)

If you look at the plot, you will observe how these values represent points in the xy plain. All of them belong to either the x or the y axis.

The resulting figure for the whole set of values of $\theta$ is in fact an ellipse.

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write the slope-intercept form of the line that passes through the point (1,0) and is parallel to x-y=7. type your answer in the

dlinn [17]

We know that

a) the slope-intercept form of the line---------------> y=mx+b
b) if two lines are parallel both have the same slope
then
passes through the point (1,0) and is parallel to x-y=7

Step 1
Find the slope
x-y=7------------> y=x-7------------> m=1

Step 2
Find the slope-intercept form of the line---> y=mx+b
point (1,0) m=1
0=(1)*(1)+b------> b=-1
y=(1)*x-1--------> y=x-1

the answer is
y=x-1

using a graph tool
see the attached figure