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
OlgaM077 [116]
3 years ago
13

a. For what values of x does f (x )equals 3 x plus 3 sine x have a horizontal tangent​ line? b. For what values of x does f (x )

equals 3 x plus 3 sine x have a slope of 3​?
Mathematics
1 answer:
laila [671]3 years ago
5 0

Answer:

(a)Therefore the value of x=\pi

(b) Therefore the value of x =\frac{\pi}{2}

Step-by-step explanation:

Horizontal tangent line: The first order derivative of a function gives the slope of the tangent of the function. The slope of horizontal line is zero.If the slope of tangent line is zero then the tangent line is called horizontal tangent line.

(a)

Given function is,

f(x)= 3x+3sin x

Differential with respect to x

f'(x)=3+3cos x

For horizontal tangent line, f'(x)=0

3+ 3 cos x= 0

⇒3 cos x=-3

⇒cos x=-1

⇒x = 180° =\pi

Therefore the value of x=\pi

(b)

Given that, the slope is 3.

Then,f'(x)=3

3+ 3 cos x= 3

⇒3 cos x= 3-3

⇒cos x=0

⇒x = 90° =\frac{\pi}{2}

Therefore the value of x =\frac{\pi}{2}

You might be interested in
How many 8 go into 75
creativ13 [48]
75 ÷ 8 = 9

Remainder:- 3
 
So 8 goes in to 75 nine times with 3 left.


8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 72 OR 9 × 8 = 72.

SO,

8 goes into 75 nine times with 3 left.

Hope I helped ya! 

8 0
3 years ago
Read 2 more answers
In the standard (x,y) coordinate plane, what is the area of the circle x^2 + y^2 =169?
schepotkina [342]

Answer:

169π

Step-by-step explanation:

circle eq: (x-a)²+(y-b)²=r², where (a,b) is center and r is radius

r²=169

r = ±13

since a radius length must be positive, r = +13, not -13

A of circle: πr²

r = 13

169π

given that the circle eq has r², you could've noticed that you can take the constant in the circle eq and multiply that by π to get the same answer

6 0
3 years ago
If the area of the rectangle is 60 square inches, what is the width of the rectangle?
lesya692 [45]

Answer:

put a picture up

Step-by-step explanation:

6 0
3 years ago
Answer number 10 please thank you
galina1969 [7]

Answer:

35%

Step-by-step explanation:

3 0
2 years ago
Complete the number sentence:
rewona [7]
D divide by 1000… you are shifting the decimal 3 places (there are 3 zeros in 1000) you are dividing because the number is getting smaller.
7 0
2 years ago
Read 2 more answers
Other questions:
  • 6 stools and 4chairs cost$58 but 5 stools and 2 chairs cost$ 35 find the cost of each stool and each chair
    9·1 answer
  • What is the probability of these events when we randomly select a permutation of {1,2, ..., n} where n≥4? a) 1 precedes 2 c) 1 i
    12·1 answer
  • 20 + 12k - 76 - 8<br> Help me please
    5·2 answers
  • Macy has a circular garden that has a radius of 4.5 meters. What is the circumference of her garden? Use 3.14 for pi
    8·1 answer
  • A stove that cost $500 will be on sale next week for 25% off it’s regular price what is the amount of savings
    7·1 answer
  • tims dog, midnight, eats 28 cups of food in a week. midnight eats the same amount each day. in one day, how many more cups of fo
    8·1 answer
  • Please help me with this
    9·1 answer
  • Find the equation of the line that contains the given point and with the given slope. Write the equation in slope-intercept form
    13·1 answer
  • What is the slope of Y = -3x + 12?
    7·2 answers
  • The third part lol helppppppppppppppppppppppppppppppppppppppppp
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!