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AVprozaik [17]
1 year ago
9

O. Find the domain and range of each of the three restricted functions.

Mathematics
1 answer:
Orlov [11]1 year ago
4 0

The domain and range of the functions sin x, cos x, and tan x will be (-∞, ∞) and [-1, 1], (-∞, ∞) and [-1, 1], and R - (2n + 1)π/2 and (-∞, ∞) respectively.

<h3>What are domain and range?</h3>

The domain means all the possible values of x and the range means all the possible values of y.

The three restricted functions are given below.

f(x) = sin (x)

f(x) = cos (x)

f(x) = tan (x)

Then the domain of the three restricted functions will be

The domain of sin x will be (-∞, ∞).

The domain of cos x will be (-∞, ∞).

The domain of tan x will be R - (2n + 1)π/2.

Then the range of the three restricted functions will be

The range of sin x will be [-1, 1].

The range of cos x will be [-1, 1].

The range of tan x will be (-∞, ∞).

The graph is given below.

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

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Allushta [10]

<u>Answer:</u>

The probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made is 0.7744  

<u>Solution:</u>

Total number of coils = number of good coils + defective coils = 88 + 12 = 100

p(getting two good coils for two selection) = p( getting 2 good coils for first selection ) \times p(getting 2 good coils for second selection)

p(first selection) = p(second selection) = \frac{\text { number of good coils }}{\text { total number of coils }}

Hence, p(getting 2 good coil for two selection) = \frac{88}{100} \times \frac{88}{100} =\bold{0.7744}

5 0
3 years ago
Will it cost more to rent from Company A or Company B if "Ali" rents the bounce house for 3 hours? 5 hours? 10 hours?
a_sh-v [17]

Answer:

3 HOURS : company A costs more

5 HOURS : Cost is the same

10 HOURS : Company B costs more

Step-by-step explanation:

Company A :

Rental fee = $100

Hourly rate = $20

Company B:

Hourly rate = $40

Cost of renting a bounce house from each company for h hours ;

Company A:

Total cost = 100 + 20h

Company B:

Total cost = 40h

If h = 3

Company A:

100 + 20(3) = $160

Company B:

40(3) = $120

FOR h = 5;

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100 + 20(5) = $200

Company B:

40(5) = $200

FOR h = 10;

Company A:

100 + 20(10) = $300

Company B:

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3 0
3 years ago
Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use pi on your calculator
Virty [35]
ANSWER
V=254.47in^3

EXPLANATION

The volume of a cylinder is given by the formula:

V=\pi \: {r}^{2} h

The given cylinder has diameter 6. This means that, the radius is

r = \frac{6}{2}

r = 3cm

The is height is

h = 3r

h = 3(3) = 9cm

We substitute the values into the formula to obtain;

V=\pi \: {3}^{2} \times 9

V=81\pi

V=254.46900494

The volume is 254.47in^3 to the nearest hundredth
7 0
3 years ago
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lara [203]

Answer:

a.

the area of each parallelogram

<em>a. 66</em>

<em>b. 49</em>

<em>c. 25</em>

<em>d. 32</em>

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Step-by-step explanation:

a parallelogram is similar to a rectangle when you are finding the ares, you use the base and the height to find the area. If it helps, like the text suggested, just change them to look like a rectangle and then find the area.

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8 0
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