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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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zubka84 [21]
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3 0
3 years ago
Find the area of a sundown that measures 3 yards by 3/4 yard.
juin [17]
To find this you multiply the 2 numbers together. 3*3/4=2.25.

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3 0
3 years ago
Help please :) ..................​
brilliants [131]

Answer:

1587.6 m²

Step-by-step explanation:

A=\frac{1}{2} bh where b is the base length and h is the height (b and h on the triangle will always be perpendicular to each other)

Plug in 75.6 m as b and 42 m as h

A=\frac{1}{2} (75.6)(42)\\A=\frac{1}{2}( 3175.2)\\A=1587.6

I hope this helps!

3 0
3 years ago
Carlos is shopping for a cap. He knows that his head circumference is 22 inches. Which size of cap should he buy to fit his head
Maslowich
Inch 22 centermeaters 55.9 adult hat size 7
4 0
4 years ago
486 divided by 19 <br><br><br> i need the remainder with answer
Goshia [24]

Answer:

25 remainder 11

Step-by-step explanation:

used a calc

5 0
3 years ago
Read 2 more answers
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