All categories

2 years ago

How many solutions does tan^-1 3 have?

1 answer:

6 0

<span>y = arctan(3) </span>

<span>Since the inverse tangent is a function, there is only one y-value. However, there are infinitely many solutions to tan(y) = 3 (they are arctan(3) + kπ where k is an integer). The approximate value of y here is y = arctan(3) ≈ 1.24905 (in radians).
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

You might be interested in

Please teach me on how to answer this question. (addmath question)

arsen [322]

We know that $\overline{x}=8$ so:

$\overline{x}=8\\\\\\\dfrac{\sum\limits_{k=1}^7\,x_k}{7}=8\qquad|\cdot7\\\\\\ \boxed{\sum\limits_{k=1}^7\,x_k=56}$

We want to calculate:

$\sum\limits_{k=1}^7\,\big(2x_k-3\big)^2=\sum\limits_{k=1}^7\,\big(4x_k^2-12x_k+9\big)=\\\\\\=\sum\limits_{k=1}^7\,4x_k^2-\sum\limits_{k=1}^7\,\big12x_k+\sum\limits_{k=1}^7\,9=4\sum\limits_{k=1}^7\,x_k^2-12\sum\limits_{k=1}^7\,x_k+\sum\limits_{k=1}^7\,9=\\\\\\=4\cdot672-12\cdot56+7\cdot9=2688-672+63=\boxed{2079}$

5 0

2 years ago

Let x²y +ay² = b be an Implicitly defined function, where a and b are fixed Constants; find dy/dx

geniusboy [140]

The value of the differential with respect to x is -xy/x²+ay

<h3>Implicit differentiation</h3>

Given the following function

x²y +ay² = b

We are to differentiate implicitly with respect to x

x²dy/dx + 2xy + 2aydy/dx = 0

(2x²+2ay)dy/dx = -2xy
dy/dx = -xy/x²+ay

Hence the value of the differential with respect to x is -xy/x²+ay

Learn more on implicit differentiation here: brainly.com/question/25081524

#SPJ1

3 0

1 year ago

a line segment has endpoints A (-8,6) and B (4,6). What is the distance in units between point A and B?

lyudmila [28]

Answer:

The distance between point A and point B is 12 units.

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

d = √(-8 - 4)² + (6 - 6)²

d = √144 + 0

d = 12

5 0

2 years ago

Casey has a job doing valet parking. Casey makes an hourly rate of $4.55 per hour plus tips. Last week Casey worked 26 hours and

qaws [65]

The answer is D. <span>$780.25
</span>
In this particular case, you just need to find the difference between what Casey earn hourly with his total earning..

The hourly wage that Casey earned in 26 hours:
$ 4.55 x 26 = 118.3

The total amount that casey earned in 26 hours:
$898.55

So, the amount that Casey earned through tips:
$898.55 - $118.3 = $780.25

7 0

2 years ago

Which statement is true about this argument? premises: if an angle measure is greater than 90°, then the angle is an obtuse angl

vazorg [7]

Answer: option d. the argument is valid by the law of detachment.

The law of detachment consists in make a conlcusion in this way:

Premise 1) a => b
Premise 2) a is true

Conclusion: Then, b is true

Note: the order of the premises 1 and 2 does not modifiy the argument.

IN this case:

Premise 1) angle > 90 => obtuse

Premise 2) angle = 102 [i.e. it is true that angle > 90]]

Conclusion: it is true that angle is obtuse

3 0

3 years ago

Read 2 more answers