Find a formula for the function f(x) such that f′(x)=sin(x) and f(2)=5.

Find A Formula For The Function F(x) Such That F(x)=sin(x) And F(2)=5.

Answers

Answer 1

Answer: f(x) = -cos(x) + 4.584

Step-by-step explanation:

we know that f'(x) = sin(x)

if we integrate that, we get:

f(x) = -cos(x) + C

Where C is a constant of integration.

And we also want that:

f(2) = 5

with that relationship we can find the value of C.

f(2) = 5 =  -cos(2) + C

(The calculation is done in radians)

        5 = -(-0.416) + C

       5 - 0.416 = C = 4.584

Then the function is:

f(x) = -cos(x) + 4.584


Related Questions

A company has to buy computers and printers. Each computer costs $550 and each printer costs $390. If
the company spends $8160 and buys a total of 16 machines, how many of each did it buy?
a. Let Statements:
b. Write the system:

Answers

Answer:

Answer:the company bought 12 computers and 4 printers.

Step-by-step explanation:

Step-by-step explanation:

Let x represent the number of computers that the company bought.

Let y represent the number of printers that the company bought.

The company buys a total of 16 machines. It means that

x + y = 16

Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that

550x + 390y = 8160 - - - - - - - - - - 1

Substituting x = 16 - y into equation 1, it becomes

550(16 - y) + 390y = 8160

8800 - 550y + 390y = 8160

- 550y + 390y = 8160 - 8800

- 160y = - 640

y = - 640/ - 160

y = 4

Substituting y = 4 into x = 16 - y, it becomes

x = 16 - 4

x = 12

Answer:

The company bought 12 computers and 4 printers.

Step-by-step explanation:

Let x represent the number of computers that the company bought.

Let y represent the number of printers that the company bought.

The company buys a total of 16 machines. It means that

x + y = 16

Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that

550x + 390y = 8160 - - - - - - - - - - 1

Substituting x = 16 - y into equation 1, it becomes

550(16 - y) + 390y = 8160

8800 - 550y + 390y = 8160

- 550y + 390y = 8160 - 8800

- 160y = - 640

y = - 640/ - 160

y = 4

Substituting y = 4 into x = 16 - y, it becomes

x = 16 - 4

x = 12

Why did Texans prefer low tariffs over protective tariffs? help plz

Answers

Answer:

they felt it only benefited the industrialized north, increased the cost of British textiles.

Step-by-step explanation:

learned during U.S history so i think its right

Answer:

Tariffs hurt Southerners?

Step-by-step explanation:

In 1828, Congress passed a high protective tariff that infuriated the southern states because they felt it only benefited the industrialized north. For example, a high tariff on imports increased the cost of British textiles. This tariff benefited American producers of cloth — mostly in the north.

can someone help me please!!!

Answers

I don't see anything in the photo

If Robin typed 15 characters in 5 seconds, 30 characters in 10 seconds, and
45 characters in 15 seconds, how many characters do you think she would
type in 20 seconds?

A. 50
B. 35
C. 90
D. 60

Answers

Answer:

robin would type D 60 characters in 20 seconds

If r = 1 and θ = 4π/3 what is the approximate arc length

Answers

Answer: 4.189 units

Step-by-step explanation:

AP EX

As per linear equation, the required approximate arc length is 4.19 units.

What is a linear equation?

"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given,  length of the radius (r) = 1 units

The value of the given angle(θ) = 4π/3 radian.

Therefore, the approximate arc length is

= length of the radius × value of the given angle

= r × θ

= 1 × 4π/3 units

= 4π/3 units

= 4.19 units

The required approximate arc length is 4.19 units.

Learn more about linear equation here: https://brainly.com/question/11897796

#SPJ2

can i get some help

Answers

Answer:x = -0.1290322581

Step-by-step explanation:

Simplifying

9x + -4(1 + 10x) = 0

9x + (1 * -4 + 10x * -4) = 0

9x + (-4 + -40x) = 0

Reorder the terms:

-4 + 9x + -40x = 0

Combine like terms: 9x + -40x = -31x

-4 + -31x = 0

Solving

-4 + -31x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + -31x = 0 + 4

Combine like terms: -4 + 4 = 0

0 + -31x = 0 + 4

-31x = 0 + 4

Combine like terms: 0 + 4 = 4

-31x = 4

Divide each side by '-31'.

x = -0.1290322581

Simplifying

A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?

Answers

Answer:

-10 points

Step-by-step explanation:

A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?

Let us say Initial number of points = 0

Hence,

He answers 2 incorrectly = 0 - 50 - 50

= -100

He answers 3 correctly =-100 + 30 + 30 + 30

His final score = -100 + 30 + 30 + 30

= -10 points

helppp
algebraaaaa what is sum of polynomials

Answers

Answer:

3x^2+6x+4

Step-by-step explanation:

6x+7+x^2+2x^2-3

3x^2+(7-3)+6x

3x^2+6x+4

Find the slope between the following two points: (3, 1), (5, 4).

Answers

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

HELP PLEASE ITS MY LAST QUESTION!!
Jonathan and his band want to record and sell CDs. The recording studio charges an initial set-up fee of $250, and it charges $6.00 to burn each CD.
a) Define the variables:
Let n = _______

Let C = _______

Answers

Answer:

N=CD C=2-3 sentance

Step-by-step explanation:

_______ ÷ 39 = 1755

_______÷ 1755 = 39
say how you did it or show a pic of how you did it if you show a pic of how you did the work then ill give you the crown that i forgot the name of it

Answers

Answer:

Step-by-step explanation:

1755*39= 68445

68445/39=1755

68445/1755=39

Can you measure 4 gallons of water using a 3 gallon jar and a 6 gallon jar?

Answers

Answer:

yes just fill up the 6 gallon jar up to the 4 galon mark

Step-by-step explanation:

Yes you can divide the 6 gallon jar in 6 levels. You can see how much water it is where witch level the water is

What is the length of AE

Answers

It is 17 because my brain is huge

You are selling candy bars for a fundraiser. you want to sell at least $200. If snickers cost $2 per bar and M&M's cost $3 per bag, then write an inequality that represents all the possible combinations you can sell to meet your goal.

Answers

Answer:

Step-by-step explanation:

Goal = > $2500

Amount raised = $700

Amount needed to raise = $2500 - 700 = $1800

Number of candy bars needed = x

Price of a candy bar = $1.50

1.5x > 1800

x > 1800 ÷ 1.5

x > 1200

Answer: They need to sell more than 1200 candy bars.

A pair of designer sneakers was purchased for $100. Since they were purchased, their price has increased by 15%. What is the new price?

Answers

Answer:

115

Step-by-step explanation:

What’s the answer to this math problem

Answers

Answer:$240.00

Step-by-step explanation:

$240.00

Answer:

It depends on how much the computer costs originally and the model of computer.

Step-by-step explanation:

Say the computer costs 151.98 USD with the tax added, then the computer would cost 148.00 USD without tax.  Or if the computer costs 162.79 USD with the tx added, then the computer would cost 160.00 USD without tax. It's the same for the rest but it also depends on the model of computer. (My calculations of adding 3 or 2 USD as the tax is just for example, i don't know how they calculate tax for computers)

151.98-148.00= 3.98$

162.79-160.00=2.79$

12 people in line at an ice-cream shop 8 ordered cones with 2 scoops of ice cream the rest ordered cones with 1 scoop what is the ratio

Answers

Answer:

2:1

Step-by-step explanation:

Which equation represents a linear function?

equation 1: y=2x^2+1
equation 2: y=8x+1
equation 3:y=5x^3-1
equation 4: y^2=4x-1

a. equation 1
b. equation 2
c. equation 3
d. equation 4

I need an answer by today ASAP! please! ​

Answers

Answer:

Equation 2

Step-by-step explanation:

Equation 2 is the only one possible to be linear. All of the other answers have an exponents. For instance, say you have y=x^3. For 1, it is 1*1*1. (1,1). For 2, it is 2*2*2. (2,8). For 3, 3*3*3. (3,27) It escalates into a curve and is non-linear.

What is the y-intercept of this line?

Answers

Answer:

(0, 3)

General Formulas and Concepts:

Algebra I

The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.

Step-by-step explanation:

According to the graph, the line passes the y-axis at 3. Therefore, our y-int is (0, 3).

Answer:

3

Step-by-step explanation:

Each line represents one unit, so if we count up from the origin, or (0, 0), up until we get to the y-intercept, we count a total of 3 lines. That means the y-intercept is at (0, 3). We can just simplify this to 3, though. I hope this helps!

HELP!!!! Please help me!!!

Answers

Answer:

The answer you have checked is the correct one.

Please help me find tge answer soon thxs

Answers

Answer:

acute

Step-by-step explanation:

It measures less than 90 degrees

Answer:

Acute angle

Step-by-step explanation:

(less than 90°)

8. The table shows the linear relationship between the balance of a student's savings
account and the number of weeks he has been saving.
Savings Account
Week
1 3
8 13
Balance
53
88
(dollars)
123
0
6
32
39
74
Based on the table, what was the rate of change of the balance of the student's
savings account in dollars and cents per week?

Answers

Answer:

7 dollars

Step-by-step explanation:

Simplity
4/x+1 - 3/x-1​

Answers

Answer:

[tex]\frac{1}{x}[/tex]

or

[tex]\frac{4x^{2} -3}{x}[/tex]

Step-by-step explanation:

can i have brainliest?

Find the value of 4/5 divided by 8/15. You must simplify.

Answers

Answer:

3/2

Step-by-step explanation:

Assuming you meant fractions, to divide them, you must multiply the reciprocal of that fraction. You'll then have:

4/5x15/8

Reduce the numbers of the greatest common factor which is 5:

4x3/8

Reduce the numbers of the greatest common factor which is now 4:

3/2 is your answer

(4x-1) /2=x+7
4x-1 all over 2 = x +7​

Answers

Answer:

x = [tex]\frac{15}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4x-1}{2}[/tex] = x + 7 ( multiply both sides by 2 to clear the fraction )

4x - 1 = 2(x + 7) ← distribute

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x = [tex]\frac{15}{2}[/tex]

The diagram shows a triangle.
3a
95°
34°
What is the value of a?

Answers

17 degrees. 180- 95-34 =51. 51/3= 17

The worst feeling in the world: Getting earbuds ripped out of your ears. Whats yours?

Answers

Answer:

When you're listening to heartfelt emotional music and you're about to cry and then it starts buffering explanation:

Mood killer

Answer:

being abandoned by my significant other, being unable to talk to my significant other, just being alone and getting abandoned in general

Step-by-step explanation:

Can someone please help with this question please I need help?!

Answers

Answer: B

Step-by-step explanation:

Each month, the person seems to grow taller. So, there IS a positive association between height and age.

I’m pretty sure the answer would be b! Good luck!! :3

The greater of two integers is 10 more than twice the smaller integer. The sum of the two integers is -8. Find the integers.

Answers

Answer:

-6, -2

Step-by-step explanation:

How many solutions does the equation below have.
*The answer choices are below*

Answers

Answer: D) One solution

==========================================

Work Shown:

2(b+3)-17 = 3b-7+b

2b+6-17 = 4b-7

2b-11 = 4b-7

-11+7 = 4b-2b

-4 = 2b

2b = -4

b = -4/2

b = -2

There is one solution and it is b = -2

A quick way to tell we have one solution is to note that both sides are a linear expression, and that the slopes of each linear expression are different values. If you had two lines with the same slope, then you'd have either parallel lines or coinciding lines (leading to no solutions and infinitely many solutions respectively). When you have two lines with two different slopes, then they are guaranteed to intersect only once. That intersection point is the solution.

Answer:

The answer is one solution

Step-by-step explanation:

1)2(b+3)-17 = 3b-7+b

2)2b+6-17 = 4b-7

3)2b-11 = 4b-7

4)-11+7 = 4b-2b

5)-4 = 2b

6)2b = -4

7)b = -4/2

Final your answer is b = -2

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