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
lutik1710 [3]
3 years ago
10

Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]

Mathematics
1 answer:
MAVERICK [17]3 years ago
5 0

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

f(x)=2x+\sin (4x)

Now on differentiating both side with respect to x we get that:

f'(x)=2+4 \cos (4x)

When f'(x)=0

this means that 2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval [0,\pi].

also we know that \cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}

Hence, the x-coordinates where f'(x)=0 for f(x)=2x+\sin(4x) is \dfrac{\pi}{6}.

You might be interested in
Using the graphing function on your calculator, find the solution to the system
inessss [21]
This is all I got sorry if it don’t help

4 0
2 years ago
Read 2 more answers
Write A expression for increased by 23
Akimi4 [234]

Answer:

5+23

Step-by-step explanation:

increased by is another word for add

7 0
3 years ago
Read 2 more answers
Practice
TEA [102]

Answer:

B. -0.5

Step-by-step explanation:

I calculated it logically

4 0
3 years ago
Yes its math y=7x+6 that is one of the questions
8_murik_8 [283]

Answer:

See explanation below.

Step-by-step explanation:

The equation is:

y = 7x + 6

This is the equation of a line in slope intercept form. The general form, where m is the slope and b is the y intercept is:

y = mx + b

In this case, with the equation:

y = 7x + 6

m is 7 and the y intercept is 6.

The y intercept means the point when x = 0:

(0, 6) is the y intercept point on the graph.

Hope this Helps! Have an Awesome Day!! (-:

8 0
3 years ago
< The map below is being reduced by a scale factor of 2/3 and printed at
Orlov [11]

Answer:

Step-by-step explanation:

B

3 0
3 years ago
Other questions:
  • Find the center and radius of this circle: (x+2)^2 + (y-3)^2 =100
    7·1 answer
  • At his birthday party Joey got $100 from each of his 2 grandmothers $40 from his dad and $5 from sister, how much did he get? Dr
    6·1 answer
  • If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?
    9·1 answer
  • Please help me so confused Solve. x^2 + 3x − 7 = 0 Enter your answers, as exact values, in the boxes. x = or x =
    15·2 answers
  • (c) Is it possible for two recently made 50" TVs to have different screen lengths
    12·1 answer
  • 13. The lengths of two adjacent sides of a parallelogram are 7 cm and 5 cm respectively.
    12·1 answer
  • Solve for r<br><br>v = 4/3 r^3<br>​
    8·1 answer
  • Dustin completed 3/8 of a homework that has 32 problems. how many problems did he complete
    12·1 answer
  • Write the other side of this equation so it’s true for all values of x 1/2(6x - 10) - x=
    7·1 answer
  • Ya'll fr get 50 points if you answer this. <br> What is the rate of change of <img src="https://tex.z-dn.net/?f=f%28x%29%3D2%5Ex
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!