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guapka [62]
3 years ago
15

The - - - - - - - - - - - - - - - -,f(x)=x, is formed by the composition of a function and its inverse (2 words)

Mathematics
1 answer:
weeeeeb [17]3 years ago
8 0

Answer:

Identity function

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How do you do this question?
r-ruslan [8.4K]

Step-by-step explanation:

y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1

dy/dx = 12√x

Arc length is:

s = ∫ ds

s = ∫₀¹ √(1 + (dy/dx)²) dx

s = ∫₀¹ √(1 + (12√x)²) dx

s = ∫₀¹ √(1 + 144x) dx

If u = 1 + 144x, then du = 144 dx.

s = 1/144 ∫ √u du

s = 1/144 (⅔ u^(³/₂))

s = 1/216 u^(³/₂)

Substitute back:

s = 1/216 (1 + 144x)^(³/₂)

Evaluate between x=0 and x=1.

s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]

s = 1/216 (145)^(³/₂) − 1/216

s = (145√145 − 1) / 216

5 0
3 years ago
Alina says the area of the rectangular face is 10 in 2 ls
Mumz [18]

Answer:

It's B

Step-by-step explanation:

Because I randomly guessed and that was the answer.

5 0
2 years ago
Read 2 more answers
One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54inches. What are the dimensions of the r
Julli [10]

Answer:

15 and 12

Step-by-step explanation:

Set the two sides as x and y

y=x-3

P = 2w+2l

2x+2(x-3) = 54

4x-6=54

4x=60

x=15

y=12

6 0
2 years ago
Jennifer is planning a holiday. The hotel costs $60 per night and her flights costs $150. She has a budget of £500 for hotel and
Svet_ta [14]
She can spend 6 nights counting she didnt pay for a round trip(meaning back and forth)
150 times2=300
<span>500 euros =</span>$706.14
300-706.14=406.14
406.14 divided by 60= 6.769

3 0
3 years ago
Read 2 more answers
How many times does 45 go into 60
mart [117]
45 would be able to go into 60 only 1 time, with a remainder of 15.

1 r^15
5 0
3 years ago
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