Answer:
[tex]f(x) = - 2 + 4 \cos(x) \\ for \: minimum \: \: x = 0 \\ f(0) = - 2 + 4 \cos(0) \\ minimum \: value = 2 \\ for \: maximum \: value \: \: x = 2\pi \\ f(2\pi) = - 2 + 4 \cos(2\pi) \\ maximum \: value = - 2[/tex]
The function is minimum at 3π/2 and the function is maximum at 0 and 2π.
What is the maximum and minimum value of the function?The condition for the maximum will be
f(x)'' < 0
The condition for the minimum will be
f(x)'' > 0
The function is given below.
f(x) = −2 + 4cosx
Differentiate the function with respect to x, then we have
f'(x) = − 4 sin x
Again differentiate the function with respect to x, then we have
f''(x) = − 4 cos x
Then the minimum value of the function will be
f'(x) = 0
−4 sin x = 0
sin x = 0
The value of f''(x) is positive in the interval of (π/2, 3π/2). Then the value of x will be
x = π
Then the maximum value of the function will be
And the of f''(x) is negative in the interval of [0,2π] – (π/2, 3π/2). Then the value of x will be
x = 0 and 2π
More about the maximum and minimum value of the function link is given below.
https://brainly.com/question/13581879
#SPJ5
Zoe supplies customs to a number of theatre companies she recently provided 20 different hats including 44 doors considering this data how many of the 15 has requested from Zoes inventory should you expect to be fedoras
Answer:
I was searching for the same answer but no one has it smh
Step-by-step explanation:
Find the limit when X approaches zero
2xsinx/1-cosx
Answer:
4
Step-by-step explanation:
[tex] Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}\times \frac{1+\cos x}{1+\cos x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1^2 -\cos^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1 -\cos^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{sin^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2x(1+\cos x) }{sin x} [/tex]
[tex] =Lim_{x \to 0} 2(1+\cos x) \times \frac{1}{Lim_{x \to 0}\frac{sin x}{x}} [/tex]
[tex] =2(1+\cos 0) \times 1 [/tex]
[tex] = 2(1+1) [/tex]
[tex] = 2(2) [/tex]
[tex] \therefore Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}= 4 [/tex]
What is 1/6 as a decimal?
Give your answer rounded to 3 decimal places.
Answer:0.16666
Step-by-step explanation:
As we know that
Therefore, 1/6 or 0.16666... can be written rounding off to three decimal digits such as: 0.1666... 0.167 (rounding off to three decimal digits)
Students in a school are asked to pick either football, rugby or tennis to play in their lesson.
The number of students who picked football and rugby are in the ratio of 5:4
The number of students who picked rugby and tennis are in the ratio of 12:25
125 students picked tennis.Work out how many students picked football.
Step-by-step explanation:
let x be rubgy liked let y football liked
x/125=12/25
ansx=60
again
y/60=5/4
ans y=75
football liked students are 75
A recipe for a pie calls for 2/4
cup of blackberries and 1/5 cup of raspberries.
What is the total amount of berries needed for the recipe?
Answer here
SUBMIT
Answer: 14/20=7/10 cup
Step-by-step explanation:
2/4 is equal to 10/20
1/5 is equal to 4/20
10/20+4/20= 14/20
Write an expression representing the perimeter of the rectangle as the sum of the four side lengths.
Answer:
2x+ 2(x+4/5)
Step-by-step explanation:
Perimeter = 2l + 2w
l = x
w = x+4/5
It’s in the picture ☝.
Answer:
120
Step-by-step explanation:
The whiskers you see on the sides, are known as the minimum(Left) and the maximum (right).
True or False: When conducting a survey of a group of people, you must interview every person in that population.
Solve for variable.
3k = 36
Answer:
k = 12
Step-by-step explanation:
Given 3k = 36 we want to isolate the variable (k) using inverse operations
So we want to get rid of the 3
3k = 3 times k (multiplication)
The inverse of multiplication is division so to get rid of the * 3 we want to divide by 3. Remember whatever we do to one side we have to do to the other side so we are going to divide each side by 3
3k/3=k
36/3=12
we're left with k = 12
The Great Park Balloon in Orange County, California, is a big orange sphere with a radius of 36 feet. Find its surface area (in square feet). (Use 3.14 for . Round your answer to one decimal place.)
Answer:
16286
Step-by-step explanation:
the formula for surface area for a sphere is 4 pi r^2
So substitute for r and you get 4pi*1296 then do 3.14 * 4 * 1296 and you get 16286.02 then round it to one decimal (it cancels out) and you get 16286.
What is the product of -3 and 5
Answer:
-15
Step-by-step explanation:
have a good day/night
may i please have a branliest
16. Garrett can complete four laps around the
track in 7 minutes and 45 seconds. How
many full laps can he complete in 1 hour
Answer:
Step-by-step explanation:
45 seconds = 45/60 = 0.75 minutes
7 minutes 45 seconds = 7.75 minutes
One hour = 60 minutes
Number of full laps = 60/ 7.75 = 6000/775 = 7.74
He can make 7 full laps in one hour
Please help :) Giving brainliest.
Answer:
D
Step-by-step explanation:
if 70kg is 20% of peter's weight, then what is peter's total weight?
Answer:
14
Step-by-step explanation:
20\100×70=14........
this figure to solve the problems.
3.65 m
2.24 m
2.57 m
2.24 m
3.65 m
Part A. Name the polygon.
cm
Part B. Enter the perimeter, in centimeters, of the
figure.
cm
Answer:
(a) Pentagon
(b) Perimeter= 1435cm
Step-by-step explanation:
Given
[tex]Side\ lengths: 3.65m, 2.24m, 2.57m, 2.24m, 3.65m[/tex]
Though the question has a missing attachment, it can still be answered
Solving (a): The name of the polygon
Since we are given 5 side lengths, we can say that the polygon has 5 sides.
Such polygon is referred to as, a pentagon
Solving (b): The perimeter (in cm)
To do this, we simply add up the side lengths
[tex]Side\ lengths: 3.65m, 2.24m, 2.57m, 2.24m, 3.65m[/tex]
[tex]Perimeter= 3.65m+ 2.24m+ 2.57m+ 2.24m+ 3.65m[/tex]
[tex]Perimeter= 14.35m[/tex]
Convert to cm
[tex]Perimeter= 14.35*100cm[/tex]
[tex]Perimeter= 1435cm[/tex]
The following set of data represents the age in years of newly married ladies in Desai. 15,25,17,20,22,24,19,16./ This data was collected after Deborah made an allegation that ladies in Desai get married at an age other than 18 years as is required by law. Does this data provide enough evidence at 5% level of significance to believe that the mean ages of ladies getting married in Desai is actually different from 18 years as claimed by Deborah?
Answer:
There is no significant evidence to conclude that the mean ages of ladies getting married in Desai is different from 18.
Step-by-step explanation:
Given the data:
15,25,17,20,22,24,19,16
Using calculator :
Mean value, xbar = 19.75
Standard deviation, s = 3.69
Samoke size, n
H0 : μ = 18
H1 : μ > 18
The test statistic :
Tstatistic = (xbar - μ) ÷ (s / sqrt(n))
Test statistic = (19.75 - 18) ÷ 3.69/ sqrt(8))
Test statistic = 1.75 ÷ 1.3046
Test statistic = 1.34
The Pvalue from test statistic ; df = n - 1 = 8 - 1 = 7
Pvalue = 0.111054
Decision :
If Pvalue < α ; reject H0
0.111053 > 0.05 ` Hence, we fail to reject H0
We can conclude that, There is no significant evidence to conclude that the mean ages of ladies getting married in Desai is different from 18.
Which of the functiors below could have created this graph
Answer:
bces
Step-by-step explanation:
What is the answer please help no links I will report
Answer:
links.
Step-by-step explanation:
Answer:
the answer is essentially A
What is the angle of A and B?
Answer:
a=90
b=30
Step-by-step explanation:
Helpppppppppppp me please
Answer:
C) x² = a/b
Step-by-step explanation:
ANSWER ONLY IF YOU KNOW ( no links or ill report you)
Step-by-step explanation:
[tex]C=2\pi r[/tex]
[tex]C=2*\pi *28[/tex]
[tex]C=56\pi[/tex]
Yes, it is because the circumference is always [tex]2\pi[/tex] times the amount of the radius.
How many people were surveyed in the bar graph 9 30 18 25
Answer:
30
Step-by-step explanation:
9 + 9 + 6 + 5 + 1 = 30
Which letters are true
Step-by-step explanation:
i would say both b and c are the the correct ones
Which of the coordinate points below will fall on the line with the consent of the personality is 1/4 select all that apply
Answer:
A, C, and D
Step-by-step explanation:
Constant of proportionality, k = y/x
Thus, all points on a line will have the same value of k.
Here, the value of k is given as ¼.
The coordinate points that will fall on a line where k = ¼, will give us the value of ¼ when we divide its y-coordinate by its x-coordinate.
Thus:
(4, 1) will give us k = y/x = ¼
(12, 3) will give us k = y/x = 3/12 = ¼
(20, 5) will give us k = y/x = 5/20 = ¼
Therefore, the options that apply are: A, C, and D
Six less than two times a number is 20
Answer:
2x - 6 = 20
2x - 6 + 6 = 20 + 6
2x = 26
x = 13
The number should be 13
Step-by-step explanation:
I can help with financial algebra if not just a freebie
Answer:
Well, okay then. I'll consult you if I ever need help. Thanks friend. xx
Tina walked her dog 12 blocks. This is twice the number of blocks she walked yesterday. How far did Tina walk her dog yesterday?
Answer: Hello, your Answer is Below ^^
Your Answer Is 6
Step-by-step explanation:
I Got the answer 6 Because 6 x 2 = 12
Tina Walked 12 blocks and Half of 12 Is 6
Hope this helps you!
Have a great Day!
~Rainbow~
Answer:
the correct answer is 6
Step-by-step explanation:
since twice = 2 you'll need to do 12 divided by 2
which is equal to 6.
or you can simply just think what number is twice in 12.
PLEASE HELP ME ON THIS!
the height of a rectangular prism is 8 meters, and the volume is 308 cubic meters. what is the area of the prisms base in square meters?
Answer:
The area of the prism's base in square meters is [tex]38.5m^2[/tex].
Step-by-step explanation:
The volume of a rectangular prism is found by multiplying the base of the prism by the height. Since you know that the volume is [tex]308m^3[/tex] and the height is [tex]8m[/tex], you just need to divide the volume by the height to get the area of the base, which would be [tex]\frac{308}{8}[/tex] or [tex]38.5m^2[/tex].
What is the solution to the equation shown on the number line?
Answer:
B
Step-by-step explanation:
x-4=18
+4 +4
x=22
Answer:
22
Step-by-step explanation:
X-4 =18
So now we have to find a number on the line which 4 is deducted from you can get 18 as the answer
So 22-4 = 18
Solve each equation please?
6) 3x - 5 = 10
7) 36 = 4x + 12
8) 3(x + 2) = 36
9) 7(2x - 15) = 63
6) Answer: x = 5
7) Answer: x = 6
8) Answer: x = 10
9) Answer: x = 12
hope it helps.