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
Neko [114]
3 years ago
6

Find an equation of the tangent line to the graph of the function f(x) = 2sinx at the point where x = pi/3.

Mathematics
1 answer:
BigorU [14]3 years ago
3 0
The equation of the tangent line of f(x) is given by y = f'(x)x + c
f(x) = 2sin x
f'(x) = 2cos x

At x = pi/3
f'(pi/3) = 2 cos(pi/3) = 1
f(pi/3) = 2 sin(pi/3) = √3
√3 = 1(π/3) + c
c = √3 - π/3

Therefore, required equation is
y = x + √3 - π/3
You might be interested in
A number between 61-107 and are multiples of 3,8,12
Sergeu [11.5K]
72 is the answer you are looking for here

3 0
3 years ago
Stuart paid $ 48.00 for a New tennis racket ,which was 64% of the original price what was the original price of the racket.
Trava [24]
Seventy five dollars hope this could help[
5 0
3 years ago
Which value for x makes the sentence true? 12x-5 = 5x + 23<br><br> A. 6<br> B. 9<br> C. 4 <br> D. -1
hammer [34]

Answer:

C

Step-by-step explanation:

If you plug in 4 to the equation it looks like this:

48-5= 20+23. Subtract 5 and add 23, to get 43=43. That statement is true so it's 4.

3 0
3 years ago
I need some help plz
aksik [14]

Answer:

B

Step-by-step explanation:

The most reasonable one is B because its 7 for side B and the rest for B are either bigger or equal to the given number

3 0
3 years ago
Read 2 more answers
8x-15 =3x how to do this
Greeley [361]
8x - 15 = 3x
     +15       +15
8x = 3x + 15
        -3x
5x = 15
/5        /5
x = 3
6 0
3 years ago
Read 2 more answers
Other questions:
  • Of the 32 students in a class, 18 play the violin, 16 play the piano, and 7 play neither.
    12·1 answer
  • 7 divided by 6634.18
    11·2 answers
  • Help with #30 Please!
    6·1 answer
  • Mr Ferguson reads 1/10 of a book to his class each day what fraction of the book has mr Ferguson read to the class after 5 days
    15·1 answer
  • How do you put 0.8918 as a fraction
    11·2 answers
  • Which property is used to simplify the expression 1+(6+0)=1+6
    5·2 answers
  • Pls help me so I can pass
    10·2 answers
  • The radius of a sphere is 3 inches. Which represents the volume of the sphere?
    12·1 answer
  • Frank is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 14 feet and its width is 11 feet. Supp
    7·1 answer
  • HELP I NEED HELP WITH THIS QUICKLY
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!