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

The area of the triangle is

square inches.
fill in the blanks

Answers

Answer:

48sq^2

Step-by-step explanation:

(12*8)/2

96/2

48

Use the given information to solve for x.

x+3
2x-9
What is x?

Answers

Answer:9

Step-by-step explanation:

A marching band is practicing. The band director sees the drum major hit a drum. How far away is the director if he hears the drumbeat in 0.40 seconds? The speed of sound is 330 m/s.

12 m
132 m
264 m
825 m

Answers

Answer:

132 m

Step-by-step explanation:

distance= speed*time

d=0.4*330

=132

The distance between the director and the drum will be; 132 m.

What is speed?

Speed can be calculated as the ratio of distance traveled to the time taken.

Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration.

Noted that the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear.

The formula of the sound in correlation with time of hear and distance is ;

time of hear = speed of sound : distance.

As per data given, time of hear = 0.40s;

speed of sound = 330 m/s.

The distance will be:

Distance= speed  x time

d = 0.4 x 330

d = 132

Learn more about speed here;

https://brainly.com/question/7359669

#SPJ6

need help with algebra

Answers

I believe it’s -7 hope it helps!!


Please I need someone to answer this !

Answers

Answer:

Step-by-step explanation:

Put 1/5 x 3 and that is the answer

If g(x) = 4x-7 then g(1) = ?

Answers

Answer:

g(1) = -3

Step-by-step explanation:

g(x) = 4x-7

Let x=1

g(1) = 4*1 -7

     = 4 -7

     = -3

Answer:

-3

Step-by-step explanation:

i dont get 4 digit by 1 digit multiplcation​

Answers

Answer:

we know

Step-by-step explanation:

Carlos and Jonathan shared $40 in the ratio 5:3. How much money did Jonathan get? (Draw a tape diagram).
PLEASE HELP MEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

carlos got 25 and Jonathan got 15.

Step-by-step explanation:

5+3=8 40/8=5

5×5=25. 5×3=15

The isosceles triangle has two sides with the same length. The base is one-half the length of a side. The expression which represents the perimeter, the distance around the triangle, is s + s + one-half s. What is the value of this expression if s = 8?

A triangle with 2 sides with length s.

Answers

Answer:

20 units

Step-by-step explanation:

s = 8

Perimeter = s + s + [tex]\frac{1}{2}*s[/tex]

                [tex]= 8 + 8 + \frac{1}{2}*8[/tex]

                = 8 + 8 + 4

               = 20 units

20
S=8
1/2s=4
8+8+4=20
Answer is 20

14. Graph
y>-1/2x-4
Y

Answers

Answer:

Step-by-step explanation:

both of those equations that are in the system are lines

first line it has a y-intercept at (0, -4) and a slope -1/2 so you can use that to

find another point ( 2 ,-5)

Since the equation has ≥ DRAW a solid line trough points (0, -4) and (2,-5)

Now highligt above the line since (0,0) cheks for the equation

second line goes troughh the points  (0,1) because of y-intercept and point (1,2) because the slope is m=1

draw a solid line trough those points and highlight under the line

the intersection of the 2 highlighted ares is your solution

What is the properties used for Blank 1 and 2?
Symmetric Property
Substitution Property
Addition Property
Reflexive Property
Division Property

Answers

Answer:

Symmetric Property

Step-by-step explanation:

It should be Symmetry Property

A cinema sold 1000 tickets on a Saturday evening. Adult tickets cost £9, children's tickets cost £5, and a total of £6680 was collected
If there are a Adult tickets and cChildren tickets, write down two simultaneous
equations connecting a and c.
Solve your equations to find how many tickets of each kind were sold.
A=
C=

Answers

Everybody says holy but nobody asks how is the holy cow
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/▌♥♥
/ \ ♥♥ PEANUT WINGS Just in time for holiday cookie season, we’ve discovered that the vanilla flavoring in your baked goods and candy could come from the butt hole excretions of beavers.

You and your friend walk to school together every day. You meet at the halfway point between your houses first and then walk to school. Each unit in the coordinate plane corresponds to 50 yards. A) What are the coordinates of the midpoint of the line segment joining the two houses? B) What is the distance that the two of you walk together?
Please show the steps

Answers

Answer:

no se

Step-by-step explanation:

The coordinate of the midpoint joining the two houses, since each unit on the coordinate is 50 units is (150, 250) and the distance walked to school is 254.95 yards

From the graph given :

The x - coordinate of the midpoint is 3 units from the origin = (3 × 50) = 150 yards

The y-coordinate of the midpoint is 5 units from the origin = (5 × 50) = 250 yards

Hence, the coordinate of the midpoint is (150, 250)

The distance walked to school :

Distance = √(y2 - y1)² + (x2 - x1)²

Distance = √(400 - 150)² + (300 - 250)²

Distance = √250² + 50²

Distance = 254.95 yards

Therefore, the distance the boys walk to school is 254.95 yards.

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Pleaseee help!

Marie was trying to show her friend why -3 × -8 equals a positive product. This is what she wrote:

-3 × 0 = 0
-3 × (?) = 0
-3(8) + -3(-8) = 0


-24 + 24 = 0

What should Marie write in place of the question mark?
A. 8 + 8
B. -8 + (-8)
C. 8 + (-8)
D. -8 + 0

Answers

Answer:

C

Step-by-step explanation:

C is the only one that works,.

Answer:

the correct answer is c

What is the circumference?
30 ft

Answers

Answer:

94.248 feet

1,131.0 inches

94′ 3″ feet and inches

28.727 meters

2,872.7 centimeters

Step-by-step explanation:

Use the expression to complete the statements. (0.5)10 (0.5)10 is the . (0.5) is the of (0.5)10. 10 is the of (0.5)10. A power is another way to write .

Answers

Question:

Use the expression to complete the statements.

[tex](0.5)^{10\\[/tex]

________ is the  power .

(0.5) is the  ________

A ______ is another way to write

Answer:

0.5 is the base

10 is the power

[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex] -- another way to write

Step-by-step explanation:

Given

[tex](0.5)^{10\\[/tex]

Required

Fill ion the gaps

[tex](0.5)^{10\\[/tex] is pronounced as; 0.5 raise to the power of 10

From the above statement, we can deduce the following:

0.5 is the base

10 is the power

Lastly, another way to write [tex](0.5)^{10\\[/tex]

Express 0.5 as a fraction

[tex](\frac{5}{10})^{10}[/tex]

Simplify the fraction

[tex](\frac{5/5}{10/5})^{10}[/tex]

[tex](\frac{1}{2})^{10}[/tex]

Hence:

[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex]

Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-2x +y = 5
- 4x + 2y = 16
One Solution
O No Solutions
Infinitely Many Solutions

Answers

Answer: No Solution

Step-by-step explanation: In picture

If 11 + 11 = 22 and 10 + 12 = 22 then which of the following is true?
A. 11 + 10 = 11 + 12
B. 11 + 11 = 10 + 12
C. 11 + 11 = 12 + 12
D. 10 + 11 = 12 + 13

show your work

Answers

B. 11+11=10+12


11+11 is 22
And 10+12 is 22
So the statement is true because both sides are equal

Answer:

B. 11+11=10+12

Step-by-step explanation:

11+11 is 22

And 10+12 is 22

So the statement is true because both sides are equal

Jackson is at colletibles fair. He has exactly $8 and will purchase a collectibles card from a vendor for $5. What percentage will jackson spend on the purchase?


A. 0.625%

B. 3%

C. 40%

D. 62.5%

Please help me out or explain how do i do it, but if you give me the answer ill give you brainliest!

Answers

I think the answer is B

find the simple interest for having $2600 in the bank for 4 years the rate is 5%

Answers

Answer:

130 a year, so it would be $520 interest for 4 years in the bank.

Kevyn is visiting France where they use the Euro instead of the dollar to pay for things. His grandparents give him $200 to spend on his trip. How many Euros is that? ($1.00 = 0.85 Euros)

Answers

Answer:

200$ equals 170 euros so he will have 170 euros

Slope of 3,4 and 0,-2

Answers

Answer:

The answer is m=2/3

Step-by-step explanation:

Answer:

[tex]-2[/tex]

Step-by-step explanation:

In order to find the answer you need to use the formula for slope and solve, simplifying if needed.

[tex]Slope=\frac{y^2-y^1}{x^2-x^1}[/tex]

[tex](y^2,y^1)=(-2,4)[/tex]

[tex](x^2,x^1)=(0,3)[/tex]

Substitute:

[tex]\frac{-2-4}{0-3}[/tex]

Solve:

[tex]-2-4=-2+-4=-6[/tex]

[tex]0-3=-3[/tex]

[tex]=\frac{-6}{-3}[/tex]

Simplify:

[tex]-6\div3=-2[/tex]

[tex]-3\div3=-1[/tex]

[tex]=\frac{-2}{-1}[/tex]

[tex]\frac{-2}{-1} =-2[/tex]

[tex]=-2[/tex]

Hope this helps.

ldentify the type of function represented by f(x)= 3(1.5)x.
A. Linear
B. Quadratic
C. Exponential decay
D. Exponential growth

Answers

Answer:

the function is represented by linear because the units are the same

elias is training for a marathon. The table shows the total number of miles he has run each 0 I
1 I 9 sorry i could not make a line so i use this > I for a line Please what is the rate.
2 I
3 I 21
4 I
5 I 33

Answers

Answer:

rate of 6

Step-by-step explanation:

which one doesn’t belong?

Answers

Answer:

Thats the FSA ummmm-

Step-by-step explanation:

An object with a motional kinetic energy of 96J. Its velocity is 4m/s. What is its mass?​

Answers

KE = 1/2mv^2
96 = 1/2m(16)
96 = 8m
m = 12 kg

A popular resort hotel has 300 rooms and is usually fully booked about 7% of the time a reservation is cancelled before the 6:00 pm deadline with no penalty. What is the probability that at least 285 rooms will be occipied? Use the binomial distribution to find the exact value and the normal approximation to the binomial and compare your answers.

Answers

Answer:

Binomial distribution = 0.1026

Normal approximation = 0.1066

Step-by-step explanation:

Given that :

p = 100% - 7% = 0.93

n = 300

1 - p = 0.07

Probability of atleast 285 rooms getting booked :

P(x = x) = nCx * p^x * (1-p)^(n-x)

To obtain P(x ≥ 285) ; we use a binomial probability calculator to save time :

P(x ≥ 285) = 0.1026

Using Normal approximation :

Mean (m) = np = 300 * 0.93 = 279

Standard deviation (s) = sqrt(np(1-p) = sqrt(285*0.07) = 4.419 = 4.42

Using :

Z = (x - m) / s

P(x ≥ 285) ; for normal approximation :P(x ≥ x) x = 285 - 0. 5 = 284.5

Z = (284.5 - 279) / 4.42

= 1.2443

P(Z ≥ 1.2443) = 0.1066 (Z probability calculator)


Write some numbers that are equal to 15:12.

Answers

Answer:

3:4, 30:24, 60:48

Step-by-step explanation:

Answer:

30:24

45:36

60:48

75:60

90:72

105:84

120:96

135:108

150:120

Step-by-step explanation:

hope it helps

Maria made 252 calls in 36 days. What is the average number of calls he made in a day?

Answers

Answer:

7 calls in a day

Step-by-step explanation:

You divide 252 by 36 which equals 7

Answer:7 calls in a day

Step-by-step explanation:

A triangle has side lengths of 24, 32, and 42. Is it a right triangle?

Answers

Answer:

no its not a right triangle.

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