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Nitella [24]
3 years ago
7

How is domain of the function f(x)=cosx restricted so that its inverse function exists?

Mathematics
1 answer:
DIA [1.3K]3 years ago
6 0

Answer:

  see below

Step-by-step explanation:

The largest interval for x ≥ 0 where cos(x) passes the horizontal line test is [0, π]. Hence the domain must be restricted to that interval if the function is to have an inverse that gives values in the range [0, π].

The domain of the function is the same as the range of the inverse function. Restricting the cos(x) function domain to x ∈ [0, π] restricts the range (functional values) of the inverse function to the same interval.

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Juan hikes up a mountain. He hikes back down at a constant rate. The table shows Juan's elevation at each hour after he begins h
Dimas [21]

The linear function that describes Juan's elevation during his descent is:

B. y = -1460x + 7500.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, each hour, the height decays by 1460, hence the slope is of m = -1460, then:

y = -1460x + b.

The y-intercept is found considering that when x = 1, y = 6040, hence:

b = 6040 + 1460 = 7500.

Which means that option B is correct.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

8 0
2 years ago
A square pyramid has a height of 12 units and a volume of 256 units3. If a square prism has the same the base area and volume as
Juliette [100K]

Answer:

4 units

Step-by-step explanation:

The volume of a square pyramid is (a²)*h/3

256=a²*12/3

256=a²*4

256/4=a²

64=a²

a=8

Now we know that the square is 8 by 8.

The volume of a square prism is a²h

256=64h

256/64=h

h=4

Also, a square pyramid is 1/3 the volume of a square prism.

12÷3=4

3 0
3 years ago
8.42 Three bags of jelly beans contain 26,28 , and 30 beans. In each bag, the percent of the beans that are yellow is 50%, 25%,
olasank [31]

Answer:

Step-by-step explanation:

Figure out the number of yellow beans in each bag:

Bag A: 0.5*26 = 13 beans

Bag B: 0.25*28 = 7 beans

Bag C: 0.2*30 = 6 beans

The total number of beans in the bowl: 26+28+30 = 84

Total number of yellow beans: 13+7+6 = 26

Percentage of yellow beans: 26/84 *100 = 30.9523

Rounded answer: 31%

6 0
2 years ago
Read 2 more answers
Doctor's order: Infuse 50mg of Amphotericin B in 250ml NS over 4 hr 15 min; Drop factor : 12gtt/ml. What flow rate ( ml/hr) will
svlad2 [7]

Answer:

59 ml/hr

Step-by-step explanation:

Amount of solution = 250 ml

Flow rate = 250 ÷ 4.25 hrs = 58.82352941176 ml/hr

since answer is required in ml/hr and not gtt/hr,

Therefore answer = 59 ml/hr to the nearest flow rate.

5 0
3 years ago
Read 2 more answers
-3b + 7 = -15 + 2b <br>how to solve this question?<br>​
dsp73

Answer:

Step-by-step explanation:

-3b - 2b + 7 = -15

-5b  = -22

b = 22/5

5 0
3 years ago
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