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vlabodo [156]
3 years ago
12

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

Mathematics
1 answer:
Virty [35]3 years ago
8 0

Answer:

Correct answer:  sin x ⇒D(x) :  [- π/2, π/2] ; sin⁻¹x ⇒ CD(x) :  [- π/2, π/2]

Step-by-step explanation:

In order for the function sin x to have an inverse function sin⁻¹x due to the monotony, the domain is taken D(x) :  [- π/2, π/2] and the range of sin⁻¹x  is CD(x) :  [- π/2, π/2].

God is with you!!!

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A student draws the net below to show the dimensions of the container that is shaped like a right rectangular prism. What is the
ZanzabumX [31]

Answer:

The correct option is;

D) 62 in²

Step-by-step explanation:

Here we have from the drawing, the dimensions of the right rectangular prism are;

Height = 2 in.

Width = 5 in

Length = 3 in

Therefore the surface area is found as follows;

Surface area of right rectangular prism = 2 × Height × Width + 2 × Height × Length + 2  × Width × Length

Surface area of right rectangular prism = 2 × 2 × 5 + 2 × 2× 3+ 2  × 5× 3 = 20 + 12 + 30 = 62 in².

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3 years ago
Find the area of the following shape, you must show all work to recieve credit,
svp [43]
What is the shape for your problem?


7 0
3 years ago
Name a set of vertical angles in the image below:
melomori [17]
<h3>Answer:  B) 1 & 3</h3>

Explanation:

Vertical angles form when we have an X shape like this. They are opposite one another and always congruent. Angles 2 and 4 is the other set of vertical angles.

3 0
2 years ago
Read 2 more answers
There are 418 students at a school. Han estimates that they each drink about 5 glasses of water each day.
Sauron [17]

Answer:

Step-by-step explanation:

a) together, they all drink about 2,090 glasses of water in one day. (418 * 5 = 2,090).

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c) 14,630 * 4 (4 weeks in 1 month) = About 58,520 glasses of water in one month.

d) 1,000,000/58,520 ≈ 17. It would take all of the students about 17 months to drink 1,000,000 glasses of water.

Hope that helps!

6 0
2 years ago
Solve for x and y:<br> 3/x -1/y =13/10<br> 1/x + 2/y =9/10
harkovskaia [24]

Answer:

  (x, y) = (2, 5)

Step-by-step explanation:

I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...

  3x' -y' = 13/10

  x' +2y' = 9/10

Adding twice the first equation to the second, we get ...

  2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)

  7x' = 35/10 . . . . . . simplify

  x' = 5/10 = 1/2 . . . . divide by 7

Using the first equation to find y', we have ...

  y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5

So, the solution is ...

  x = 1/x' = 1/(1/2) = 2

  y = 1/y' = 1/(1/5) = 5

  (x, y) = (2, 5)

_____

The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.

3 0
3 years ago
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