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
Alja [10]
3 years ago
8

F(x) = 3 sin x + 3 cos x

Mathematics
2 answers:
Darina [25.2K]3 years ago
5 0
F ( x ) = 3 sim x + 3 cos x
f ` ( x ) = 3 cos x - 3 sin x
f `` ( x ) = - 3 sin x - 3 cos x = - 3 ( sin x + cos x )
The inflection points:
- 3 ( sin x + cos x ) = 0
sin x + cos x = 0
sin x = - cos x / : cos x
tan x = - 1
x 1 = 3π / 4
x 2 = 7π / 4
The function is concave up when f``(x) > 0
- 3( sin x+ cos x ) > 0
sin x + cos x < 0
tan x < - 1
f is concave up for:
x ∈ ( π/2, 3π/4 ) ∪ ( 3π/2, 7π/4)
f is concave down for: 
x ∈ ( 0, π/2 ) ∪ ( 3π / 4, 3π/2 ) ∪ ( 7π / 4, 2 π ).
Hoochie [10]3 years ago
4 0
<span>F(x) = 3 sin x + 3 cos x
</span>F'(x) = 3cosx-3sinx

<span>to find inflection points, just take the second derivative, set it to zero and solve for x.
</span>

so the second derivative is -3sinx-3cos x
<span>you'll have to take 2 conditions. 1) f''(x) = 0 2) f''(x) = UND depends on the function of course when you set your derived function to zero, you'll get numbers, those are your x's and to find the y's to finish up your process , plug in the x you found in the original function, and with that, you'l have your inflection points</span>

<span>
</span>

You might be interested in
I need help. 40x^6+16x^6
xxMikexx [17]

Answer:

56^6

Step-by-step explanation:

when they are the same exponent

you just add the coefficients

7 0
3 years ago
Read 2 more answers
2.1/1.488 <br> Divide. Round to the tenths place
muminat

Answer:

1.4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
what equation represents the road that passes through the point shown and is perpendicular to the road represented by the red li
omeli [17]

Answer: The equation that represents the road is y= - 1/3x +1/3

Step-by-step explanation:

5 0
3 years ago
A cylinder has a height of 14 centimeters and a radius of 17 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer
9966 [12]
<h2><u>Answer</u></h2>

Volume = \sf{\pi r^2 h}

= \sf{3.14 \times {17}^{2} \times 14 } = \sf{12704.45~cm^3}

6 0
3 years ago
According the bar graph above, which month saw the lowest number of student ticket sales?
lesantik [10]
There's no graph. Btw.
5 0
3 years ago
Other questions:
  • I need to understand the solution.
    15·1 answer
  • What is? 1 3/14 - ( -2 1/7) express your answer in the simplest form
    6·1 answer
  • Which of the following pairs are perpendicular? Select all that apply.
    15·1 answer
  • The area of circle Z is 641 ft.
    8·1 answer
  • What is the place value of 7 in 74,310,892?
    6·1 answer
  • Answer plz pix inside plz find both answers
    9·2 answers
  • Which of these transformations occurs when the blades of a fan turn?
    13·1 answer
  • Convert the number to scientific notation. 0.000001019<br>​
    9·2 answers
  • I'm in need of some desperate help ​
    6·1 answer
  • Solve 3^x=42. Round to the nearest hundredth
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!