On the graph of f(x) = sin x and the interval (-2pi,0), for what value

On the graph of f(x) = sin x and the interval (-2pi,0), for what value of x does f(x) achieve a minimum? Choose all answers that apply.

2 months ago

Solution 1

Guest Guest #2391823
2 months ago

Answer:

x = -pi/2

Step-by-step explanation:

hello :

f(x)=sin x     x⋲(-2pi,0)

the derivate for f is : f'(x) = cosx

f(x) achieve a minimum when : f'(x) =0

cosx = 0  genral solution is :

x = pi/2 +kpi    .. k in Z

but :  x⋲(-2pi,0) so : x = -pi/2.....(k = -1)

📚 Related Questions

Question
What is the value of x in the equation below? 1+2eX+1 = 9
Solution 1

The value of x is 1.252762968495368

Solution:

Given that,

We have to find the value of x in given equation

Given equation is:

1+2e^x + 1 = 9

Simplify the left side of equation

2+2e^x = 9

Move 2 from left side to right side of equation

2e^x = 9-2\\\\2e^x= 7

Therefore,

e^x = \frac{7}{2}\\\\e^x = 3.5

Taking ln on both sides

ln and e cancels each other each other

x = ln\ 3.5

Therefore,

x = 1.252762968495368

Thus the value of x is found

Solution 2

Answer:

the answer is x=27 hope that helps :)

Step-by-step explanation:

Question
P ^ q is true, and p is true. q is _____. true false​
Solution 1

Answer:

It is True.

Step-by-step explanation:

If the statement p^q is true then it mean both have to be true in order for the statement to be true.

Question
How do you write 0.7 as a percentage
Solution 1

Answer:

70%

Step-by-step explanation:

Question
Jack earned $60.84 for working 12 hours during the week. how much did he earn per hour
Solution 1

Answer: You can do 60.84 divided by 4 and there's your answer.

Step-by-step explanation:

Solution 2
The answer to this question is 5.07 dollars
Question
Identifying the Number of Solutions Examine the system of equations -2x + 3y = 6 4x + y = 12 Answer the questions to determine the number of solutions to the system of equations. What is the slope of the first line? What is the slope of the second line? What is the y-intercept of the first line? What is the y-intercept of the second line? How many solutions does the system have?
Solution 1

Answer: 2/3, 2/3, 2, 2, Infinite

Explanation: I just finished the assignment

Solution 2

Answer:

  • 2/3
  • -4
  • 2
  • 12
  • 1

Step-by-step explanation:

For the line ax+by=c, solving for y gives ...

  y = (-a/b)x +c/b

The slope in this slope-intercept form is the coefficient of x, -a/b. The y-intercept is c/b.

a) For the first line, the slope is ...

  -a/b = -(-2)/3 = 2/3

__

b) For the second line, the slope is ...

  -a/b = -4/1 = -4

__

c) The y-intercept of the first line is ...

  c/b = 6/3 = 2

__

d) The y-intercept of the second line is ...

  c/b = 12/1 = 12

__

e) The slopes of the lines are different, so there is one (1) solution.

Question
Change 7 2/5 to improper fraction
Solution 1

Answer:

37/5

Step-by-step explanation:

multiply 7 the whole number by the denominator which is 5 then at your answer 35 and add to the numeration which is 2 so, 35 +2 is 37and add the numerator to the bottom and your improper fraction is 37/5

Solution 2
Answer:

~ 37/5

Explanation:

7X5+2= 37
Question
On an analog clock the minute hand has moved 128 from 12 o clock. what number will it pass next​
Solution 1

Answer:

  5

Step-by-step explanation:

The numbers on the clock are separated by 30°, so the number 4 is at 120° after 12. The next number is 5, at 150°.

Question
If f(x)=3x-1 and g(x)= x+2, find (f-g)(x)​
Solution 1

Answer:

Step-by-step explanation:

(f-g)(x)​ = f(x)- g(x)

= 3x - 1 - ( x + 2)

=3x - 1 - x - 2

= 2x - 3

Question
Mara bought a bag that contained 16 cups of sugar. She uses two-thirds cup of sugar each time she makes a batch of cookies. If the bag now has 10 cups of sugar left, how many batches of cookies has she made? (Show equation)
Solution 1

Answer:

  • 2/3b = 6
  • 9 batches

Step-by-step explanation:

You can write an equation for the total amount of sugar, or you can write one for the amount used. If b is the number of batches of cookies, 2/3b is the number of cups of sugar used to make cookies.

  2/3b + 10 = 16 . . . . . all of the sugar

  2/3b = 6 . . . . . . . . . .cups of sugar used

The second equation is the result of subtracting 10 from the first equation.

  b = (3/2)(6) = 9 . . . . . multiply by 3/2

Mara made 9 batches of cookies.

Solution 2

Answer:

9 batches of cookies

Step-by-step explanation:

Mara bought a bag that contained 16

cups of sugar. She uses 2/3 cup of

sugar each time she makes a batch of

cookies. If the bag now has 10 cups of

sugar left, how many batches of cookies

has she made? (Show equation)

Well, if the bag originally had 16 cups and now it has 10 cups, then you have to subtract 10 from 16 (16-10). 16 - 10 = 6 cups used. Now you have to divide 2/3 from 6 (6 ÷ 2/3). 6 ÷ 2/3 = 9 batches of cookies.

Question
Write an expression to represent: Eight minus the quotient of two and a number x
Solution 1
8 - (2/x) = y (ignore these words the answer was too short lol)
Solution 2

Answer:

8-2/x    (x is the denomanator)

Step-by-step explanation:

trust me i did it on khan academy.