1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
A golfer exerts a force of 15.0 N on a golf ball that has a mass of 0.42 kg. What is the golf
Gala2k [10]

Answer:

35.71m/s²

Step-by-step explanation:

using the formula force(F)=mass(m)×acceleration(a)

a =

\frac{f}{m}

F=15.0N

m=0.42kg

a=?

a=15÷0.42

a=35.71m/s²

5 0
3 years ago
Read 2 more answers
95 - 4G < 40 + 5G plz help me
7nadin3 [17]

This answer would be (55/9, ∞)

5 0
3 years ago
Which sentence describes the end behavior of the function shown? pls help!!!!
grin007 [14]

Answer:

b

Step-by-step explanation:

because that is the correct answer believe me

5 0
3 years ago
The vanishing point of the picture is represented by point B.<br> A. The measure of B.
Sav [38]
Point B is has a square so it’s a 90° angle.
7 0
1 year ago
Read 2 more answers
Consider the expression below.
Elena L [17]
Since 3 doesn’t have any term goes with it then 3 is a constant number. Hope this will help!
5 0
3 years ago
Other questions:
  • Write down 4 odd digit numbers that will add up to 19
    13·1 answer
  • Can someone help me figure this out plz? Thank you!!!
    15·1 answer
  • A figure is translated rotated or reflected describe its image
    10·1 answer
  • What would 24.583 to the nearest tenth be?
    10·2 answers
  • For every 9 miles lana jogged. Victor jogged 5 miles. If lana jogged 1 how many miles would Victor have jogged?
    9·1 answer
  • What square unit is parallelogram A
    5·1 answer
  • What is 164.362 rounded to 4, 3 and 1 significant figures​
    12·1 answer
  • What is reductionism ......... ​
    6·2 answers
  • Need help with this asap <br> 5x+2+2x-10
    15·1 answer
  • A surveyor wants to know the length of a tunnel built through a mountain. According to his equipment, he is located 120 meters f
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!