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nasty-shy [4]
3 years ago
15

Find the interval(s) of upward concavity on this accumulation function.

Mathematics
1 answer:
maxonik [38]3 years ago
6 0

\displaystylef(x)=\int_{0}^{x^2}\sec^2(\sqrt{x})dx \\=\int_{0}^{\sqrt{x^2}}\sec^2(u)\cdot2udu \\=2\int_{0}^{\sqrt{x^2}}\sec^2(u)du \\=2\Big[u\tan(u)-\int\tan(u)du\Big]_{0}^{\sqrt{x^2}} \\=2\Big[u\tan(u)+\ln\Big(\mathrm{abs}(\cos(u))\Big)\Big]_0^x \\=2\Big(x\tan(x)+\dfrac{1}{2}\ln\Big(\cos^2(x)\Big)\Big) \\=2x\tan(x)+\ln(\cos^2(x))

Hope this helps.

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Una fábrica envasadora recibe diariamente distintos tipos de aceite en las siguientes cantidades: 195 l, 275 l, 315 l, 460 l y 5
BabaBlast [244]

Answer:

Se calcula el maximo comun divisor.

195/5 = 39

275/5 =55

315/5 =63

460/5= 92

525/5 =105

Se deben utilizar 354 garrafas

Step-by-step explanation:

Descomponemos cada número en factores primos.

Después, señalamos los factores comunes.

A continuación, en cada uno de los comunes, escogemos el factor con menor exponente.

Y por ultimo, multiplicamos los factores elegidos.

195 3 275 5 315 3 460 2 525 3

65 5 55 5 105 3 230 2 175 5

13 13 11 11 35 5 115 5 35 5

1  1  7 7 23 23   7 7

   1   1    1  

3 0
3 years ago
Solve the equation and enter the value of d below. 6d + 7 d= 39​
MA_775_DIABLO [31]

Answer:

d=3

Step-by-step explanation:

13d=39

d=39/13

d=3

4 0
3 years ago
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Which expression is equivalent to 4 (2p+4q)?
ch4aika [34]

Answer:

None of the above.........

6 0
3 years ago
If you join the store membership, all items over $100 will have a flat rate restocking fee of $5. How much money will a member s
dexar [7]
$235, I believe. 240-5=235.

If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer. I want to be able to assist more users one-on-one, as well as to move up in rank! :)
3 0
3 years ago
The solution to −4x ≤ 16 is x ≤−4 true or false
Ivenika [448]

Answer:

true

Step-by-step explanation:

7 0
3 years ago
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