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Ostrovityanka [42]
2 years ago
7

2. David determines that 3 sqrt 2 cis(7pi/4) = -3+3i. When he considers the graphical representation of these numbers, he knows

he made an error. Clearly explain in complete sentences what David observed, and where David made his mistake. State the correct rectangular equivalence of 3 sqrt 2 cis(7pi/4).

Mathematics
1 answer:
fiasKO [112]2 years ago
5 0

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:
brainly.com/question/27813225
#SPJ1



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Find two positive numbers whose difference is 30 and whose product is 2584.
kvasek [131]

Answer:

38 and 68.

Step-by-step explanation:

Let x be the smaller one of the two number.

x must be a positive integer. The other number would be (x + 30).

The question states that the product of the two numbers is 2584. In other words:

x\, (x + 30) = 2584.

Rearrange this equation and solve for x:

x^{2} + 30\, x - 2584 = 0.

The first root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}.

Similarly, the second root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}.

Since the question requires that both numbers should be positive, x > 0. Therefore, only x = 38 is valid.

Hence, the two numbers would be 38 and (38 + 30), which is 68.

6 0
3 years ago
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of A squirrel’s hidden nuts, for every 5 that get found, there are 3 that do not get found. A squirrel hid 40 nuts all together.
den301095 [7]

Answer:

The answer is 15

Step-by-step explanation:

because so the squirrel hid 40

so

|||||   ||| 8

|||||   ||| 16

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so if you count the all the group of 3 that will get your answer.  

let me know if this make sense.

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Help me please 15 points answer
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Part A is 6 and the bottom one is "Take a line and connect it from point C to the middle of A and B then put another line connecting to D to the middle of A and B"
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What is the area of a circle?<br><br> The answer is A=πr2, but I want you to show the work.
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How to find the discriminant of
Sonbull [250]

the discriminant   b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0

13x^2-16x = x^2 -x

we need to get in it the standard form

subtract x^2 from each side

12x^2 -16x = -x

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