The correct rectangular equivalence of 3sqrt(2)·cis(7pi/4 ) is:
3sqrt(2)·cos( 7pi/4 ) + i·sqrt(2)·sin( 7pi/4 ) = 3 - 3i.
<h3>Where did David go wrong?</h3>
David mistakenly interchanged the Sin function and the Cos function when he was calculating the problem.
Hence the correct rectangular equivalence is:
3sqrt(2)·cos( 7pi/4 ) + i·sqrt(2)·sin( 7pi/4 ) = 3 - 3i.
<h3>What is rectangular equivalence?</h3>
An equation is rectangular in form when it is comprised of Variables like X and Y and can be represented on a Cartesian Plane.
Learn more about rectangular equivalence at:
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Answer:
A. reflection across the y-axiss
Step-by-step explanation:
Given:
The locations of the two points are (-4 , 8) and (-4 , -8).
To find:
The relation between two points.
From the given points (-4, 8) and (-4 , -8), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.
If a figure is reflected across the y-axis, then we change the sign of x-coordinate and the y-coordinates remain same, i.e.,
→
For (-4,8)
→ 
So, it is reflection across the y-axis.
Therefore, the correct option is A.
Answer:
8
Step-by-step explanation:
Nth term of a geometric sequence is given as:
...(1)
Plugging n = 9, a = 3 and r = 2 in the above equation, we find:

... (2)
Comparing equations (1) & (2), we obtan:
(n - 1) = 8
The probability is 0.1458.
The probability is given by:
40+90=130
180-130=50
50+130=180
x=130
50+x=180