![Mathematics](/tpl/images/cats/mat.png)
Mathematics, 14.04.2020 16:34, dheydar9556
For the function f(x) = 1 4 ex + e−x, prove that the arc length on any interval has the same value as the area under the curve. f(x) = 1 4 ex + e−x ⇒ f '(x) = ⇒ 1 + [f '(x)]2 = 1 + = 2 = [f(x)]2 The arc length of the curve y = f(x) on the interval [a, b] is L = b a 1 + [f '(x)]2 dx = b a [f(x)]2 dx = b a f(x) dx, which is the area under the curve y = f(x) on the interval [a, b].
![answer](/tpl/images/cats/otvet.png)
Answers: 1
Other questions on the subject: Mathematics
![image](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 19:00, godchaux15395
What is the expression in factored form? 3x^2 + 18x + 24 a. 3(x+2)(x+4) b. 3(x-2)(x+4) c. 3(x-2)(x-4) d. 3(x+2)(x-4)
Answers: 2
![image](/tpl/images/cats/mat.png)
![image](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 21:00, Gabriel134
Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. his sister states that the expression should be x + x + 0.5x + y + y – 2. who is correct? explain.
Answers: 3
![image](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 21:30, EinsteinBro
Ijust need these 2 questions answered (the second pic is just confirmation i'm not confident in that answer)
Answers: 1
Do you know the correct answer?
For the function f(x) = 1 4 ex + e−x, prove that the arc length on any interval has the same value a...
Questions in other subjects:
![Konu](/tpl/images/cats/en.png)
![Konu](/tpl/images/cats/mat.png)
Mathematics, 15.12.2020 02:10
![Konu](/tpl/images/cats/mat.png)
Mathematics, 15.12.2020 02:10
![Konu](/tpl/images/cats/mat.png)
Mathematics, 15.12.2020 02:10
![Konu](/tpl/images/cats/en.png)
![Konu](/tpl/images/cats/mat.png)
![Konu](/tpl/images/cats/himiya.png)
![Konu](/tpl/images/cats/mat.png)
Mathematics, 15.12.2020 02:10
![Konu](/tpl/images/cats/mat.png)