solve 3cosx-1,0<=x<=pi/2

Answers

Answer 1

Answer:

E(-9)≈3.4936

Step-by-step explanation:

Calculate the arc length of the following curve from x = 0 to x = π/2:

y(x) = -1 + 3 cos(x)

Hint: | The definition of arc length in Cartesian coordinates is s = integral_(x_0)^(x_1) sqrt(1 + y'(x)^2) dx.

Apply the definition of arc length to y(x) = -1 + 3 cos(x) for 0<x<π/2:

s = integral_0^(π/2) sqrt(1 + (d/dx(-1 + 3 cos(x)))^2) dx

Hint: | What is d/dx(-1 + 3 cos(x))?

Compute the derivative d/dx(-1 + 3 cos(x)):

= integral_0^(π/2) sqrt(1 + (-3 sin(x))^2) dx

Hint: | Can the integrand be simplified?

Simplify sqrt(1 + (-3 sin(x))^2):

= integral_0^(π/2) sqrt(1 + 9 sin^2(x)) dx

Hint: | Can this integral be computed?

Compute the definite integral:

Answer: E(-9)≈3.4936


Related Questions

What dividend is represented by the synthetic division below?

Answers

Answer:

the dividend is 2x^3 + 10x^2 + x + 5

Step-by-step explanation:

I took the test and I got a 100%

Answer:

the dividend is 2x^3 + 10x^2 + x + 5

Step-by-step explanation:

PLSSSS HELPPPPP ASAP

Answers

D.

Perimeter is when you add and not multiple:)

How many terms are in the expression 4x2 + y - 0 ?
help pleaseeee

Answers

Answer:

3 I did the test to btw

Step-by-step explanation:

did the test

In 1933, Wiley Post flew around the world in 7 days, 18 hours. Wiley's trip would best
be described as flying around the of the earth.
a. perimeter
c. volume
d. diameter
b. area

Answers

Area is the right answer... I guess

Answer: perimeter

Step-by-step explanation:

I need help with this question pls

Answers

Answer:

yes

Step-by-step explanation:

yes it is because if 6ounces is $2.10 and the more ounces you add the higher the cost

btw just copy/paste :P

Equivalent ratios are ratios that contain different numbers but express the same relationship between the quantities they're comparing. Ratios are equivalent if there's a positive number that can be multiplied by both quantities in one ratio to get the corresponding quantities in the second ratio. For example, imagine you're making hot sauce that calls for chile peppers and tomatoes in a ratio of 1:2. If you put in 1 chili pepper, you'll need to put in 2 tomatoes. If you put in 2 chili peppers, you'll need to put in 4 tomatoes to keep the ratio the same. You can multiply both numbers in the first ratio by 2 to get the corresponding numbers in the second ratio: 1 × 2 = 2 2 × 2 = 4 The ratios show the same relationship between chili peppers and tomatoes. Which of these ratios is equivalent to 2:3? A 2:6 B 4:6 C 3:2 D 3:4

Answers

Answer:

B 4:6

Step-by-step explanation:

Which of these ratios is equivalent to 2:3?

2 : 3 = 2/3

Check all that applies

A 2:6

= 2/6

= 1/3

= 1 : 3

B 4:6

= 4/6

= 2/3

= 2 : 3

C 3:2

= 3/2

= 3 : 2

D 3:4

= 3/4

= 3 : 4

The correct answer is B 4 : 6

For every | | cats in the pet store, there are | | dogs.




Help plss

Answers

For every single cat there is four dogs

Answer:

for every one cat there are 4 dogs

Step-by-step explanation:

11 : 44

11÷1 : 44÷11

1 : 4

Find the measure of the numbered angle.
m∠1 =

Answers

Answer:

∠1 = 50°

Step-by-step explanation:

right triangle.

∠1 = 180 - 90 - 40

∠1 = 50°

II. Mr. Roy sold a cupboard to Mohan for RO 60 and earned a profit of RO 10. Mohan spent RO 27 to polish and repair the cupboard. He then sold it to Gopi at a profit of RO 8. After using the cupboard for a year , Gopi sold it to a furniture dealer for RO 90. Did Gopi make a profit or a loss in the deal? *

Answers

Answer:

Gopi made a loss in the deal

Step-by-step explanation:

To solve this question, we'll analyse each statement in the question one after the other.

From Roy to Mohan,

[tex]Selling\ Price = Ro.\ 60[/tex]

The profit of [tex]Ro.\ 10[/tex] goes to Roy

Mohan spent [tex]Ro. 27[/tex] on polish and repairs.

So, the cost price of the cupboard becomes

[tex]Cost\ Price = Ro.60 + Ro.27[/tex]

[tex]Cost\ Price = Ro.87[/tex]

He sells at a profit of [tex]Ro.8[/tex]. to Gopi

So, the selling price is:

[tex]Selling\ Price = Ro.8 + Ro.87[/tex]

[tex]Selling\ Price = Ro.95[/tex]

At this stage, the cost price of the cupboard to Gopi is:

[tex]Cost\ Price = Ro.95[/tex]

and

[tex]Selling\ Price = Ro.90[/tex]

Profit is calculated as:

[tex]Profit = Selling\ Price - Cost\ Price[/tex]

[tex]Profit = Ro.90 - Ro.95[/tex]

[tex]Profit =- Ro.5[/tex]

Because; the profit is negative, then it is a loss.

[tex]Loss = Ro.5[/tex]

Gopi made a loss in the deal

A two digit number is such that, the sum of its digit is 13.When the digits are interchange, the original number is increased by 9. Find the original number.​

Answers

Answer:

Concept: Mathematical Representation

You have a two digit # __ The sum of the two digit # = 13The original # increased by 9 Hence we must find values that sum to 13. *Note they must be independently standing.8+5, 9+6, 7+6 , 6+7 , and etcThe value must also increase by 9 So logically it would be any result that when switched that value would be 76-67= 9.So the value must be 67

If it takes 5 gallons of gas to drive 125 miles, how many miles can be driven using 8 gallons of gas? (GIVE ONLY NUMERICAL ANSWER)

Answers

(ANSWER - 200) (EXPLANATION - we know 125 miles is 5 gallons. divide 125 by 5, you get 25 miles per gallon. 25 times 8 is 200!)

42.5 subtract 7.32? Please help me with his question?

Answers

Step-by-step explanation:

42.4

-

7.32

----

move the decimal

42.40

07.32

-------

35.08

How many 1/5s are there in 8/10?

Please answer right away helpers!!!
The time is ticking by now.

Answers

4/5=8/10, therefore the answer is 4

Write this percentage as a fraction in its simplest form.
24%

Answers

Answer:

6/25

Step-by-step explanation:

24/100=12/50=6/25

Answer:

[tex]\huge\boxed{\sf \frac{6}{25} }[/tex]

Step-by-step explanation:

[tex]\sf = 24 \%\\\\\% \ means \ out \ of \ 100\\\\= \frac{24}{100}\\\\= \frac{12}{50} \\\\= \frac{6}{25} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Choose
1. Identify the y-intercept of the line with the given equation. y= 3x + 12

A) x

B) y

C) 3

D) 12

Answers

The answer would be 12
Y=mx+b
B is the y intercept
B=12

"What is the equation of the line parallel to the given line with an x-intercept of 4?"
y = __x + __​

Answers

Parallel lines have the same slope, so the slope of this new line is 4.

In the form y=mx+b, m is the slope, so the slope of this new line is y=4x+b.

The x intercept is 4, which is the coordinate (4,0). So plug that in to get b:

0=4(4)+b
0=16+b
B=-16

So in total, the new line is y=4x-16.

Write the equation of the line that is parallel to y = -6x + 10 and crosses the y-axis at -4.

Answers

Answer:

y= -6x-4

Step-by-step explanation:

As two lines are parallel, their slope is same which is -6

Now, use:y-y1=m(x-x1)

y-(-4)= -6(x-0) (y1=-4,x1=0, cause the equation of y axis is x=0)

So,y= -6x-4

Which function is equivalent to f(x) = -4(x + 7) – 6?

Answers

Answer:

f(x) = - 4x - 34

Step-by-step explanation:

Given

f(x) = - 4(x + 7) - 6 ← distribute parenthesis

     = - 4x - 28 - 6 ← collect like terms

     = - 4x - 34

I need an answer to What is: p - 10 = 5

Answers

Answer:

P would be substituted with 15, so the equation would be accurate

Step-by-step explanation:


On Miss Gless iPhone, she has 400 songs 24 of those songs are country songs. What percent of her songs are not country?

Your answer:

help o_o

Answers

Answer:

94%

Step-by-step explanation:

plz help i will mark you as brainlist

Answers

Answer:

C. Six is to the left of the zero and negative six is to the right.

Step-by-step explanation:

Simple, think of a number line and zero is in the middle, to the left there is positive numbers, like six, and to the right there is negative six.

I’m pretty sure it’s A

If f(x)=2(x-3)x4, what is f(-2)? PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

-160

Step-by-step explanation:

All you have to do is substitute -2 for all values of x!

Is that last x raised to the power of 4 (looks like [tex]x^4[/tex])?

If so, the equation is:

[tex]f(-2)=2(-2-3)(-2)^4[/tex]

2(-5)(16)

-10(16)

-160

Show work on this smart people

Answers

Answer:

10 units

Step-by-step explanation:

LMNO is a square.

All sides of square are equal

MN = LM

3x + 1 = x + 7

3x - x = 7 - 1

2x = 6

x = 6/2

x = 3

LM = x + 7 = 3 + 7 = 10

LM = 10 units

HELP MATH STIKES AGAIN!
Hotel A hotel charges $140 per night for the first two people and $10 for each additional person. Hotel B charges $80 per night for the first two people and $20 for each additional person. At how many additional people per night is the rent for the two rooms the same.
I will mark brainlyist for correct answer

Answers

Answer:

9

Step-by-step explanation:

Need help asap not really good with these types of questions

Answers

Step-by-step explanation:

AC = AD result : given (Side congruence)

CB = DB result: given (Side congruence)

AB =AB result : reflexive property (side congruence)

ACB=ADB (SSS)

On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many
2-point questions as 5-point questions on the test. How many 2-point questions are on the test?
•8
•4
•12
•16

Answers

Answer:

B. 8

Step-by-step explanation:

Calculate how many 2 point answers and 5 point answers there are.

2 x 8 = 16

Since there are half as many 5 point answers as there are 2 point answers,

5 x 4 = 20

calculate how many remaining questions there are. The numbers would be 8 since you had 8 2 point questions and 4 since half of 8 is four.

8 + 4 = 12

Subtract that number by the total questions, which is 28.

28 - 12 = 16

Next figure out how many 4 point questions you had (28-12=16)

16 x 4 = 64

To check your work add up the totals and see if they match up to 100.

16 + 20 + 64 = 100

Step-by-step explanation:

Which equation describes a line perpendicular to line R that passes through the point
(3, –6)?

A.x – 3y = 21
B.3x + y = 3
C.3x – y = 15
D.3x – y = 3

Answers

Answer:a

Step-by-step explanation:

A rectangular garden is 45 feet long and has perimeter 150 feet. Rows
of plants are planted 3 feet apart. Find the area of the garden.

Answers

length will be represented as l and breadth as b.
perimeter=l+l+b+b=45+45+b+b=150
b+b=150-45-45=60
b=60÷2=30
area=lxb=45x30=135
the area is 135 feet.

5. The scale on the map of a park is 5 in.: 3 mi. The distance from the entrance of the park to the playground is 9 miles. How many inches long is the distance on the map?​

Answers

Answer:

15 inches

Step-by-step explanation:

Here, we have a scale of 5 inches to 3 miles

We have 9 miles here, we now want to get the amount of corresponding inches

Let the corresponding inches be x

5 inches to 3 miles

x inches to 9 miles

That means ;

x * 3 = 5.* 9

x = 45/3

x = 15 inches

What is the solution of the equation 70 = 1.4y ?

Answers

So you basically have to divide 1.4 on both sides so you can get y by its self. Once you divide 60 by 1.4 you’ll get 50.

y=50

The solution of the equation 70 = 1.4y is 50.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 70 = 1.4y.

Seventy equal to one point four y.

In the given equation the variable is y.

We need to solve for the y.

70 = 1.4y.

Divide both sides by 1.4

70/1.4=y

Seventy divided by one point four equal to y

50=y

The value of y is fifty.

Hence, the solution of the equation 70 = 1.4y is 50.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

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