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

PLEASE HELP I WILL GIVE BRAINLIEST!!!!
Solve the following system of equations with any method. Show all work and explain your thinking for each
step in the process.

2x- 10y = 10
Sx+9y =9

Answers

Answer: Let's solve for x.

2x−10y=10

Step 1: Add 10y to both sides.

2x−10y+10y=10+10y

2x=10y+10

Step 2: Divide both sides by 2.

2x

2

=

10y+10

2    answer

    x=5y+5

Step-by-step explanation:

Let's solve for s.

sx+9y=9

Step 1: Add -9y to both sides.

sx+9y+−9y=9+−9y

sx=−9y+9

Step 2: Divide both sides by x.

sx

x

=

−9y+9

x

s=

−9y+9

x

Answer:                         hope this helps:)

s= -9y+9/x

Two of the vertices of a rectangle are (6,1) and (7,1) . IF the rectangle has a perimeter of 18 units, then what are the coordinates of its other two vertices

Answers

Answer:

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

Step-by-step explanation:

Given: Two of the vertices of a rectangle are (6,1) and (7,1)

Perimeter= 18 units

To get the value of "x"

The distance between Two point can be calculated as (6-7)=-1

Then x= -1

We can get the value of "y" by using expression for perimeter,

The perimeter P= 2x+2y=18

= 2(-1)+2y= 18

-2+2y=18

2y=18+2

2y= 20

y=10

The "y" coordinate can move up or can move down

y1=( 1-10)=-9

Or

y2=( 1+10)=11

Hence, the two other points are;

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

Jennifer drove to her aunt's house, which is 325 miles away. If it took her 5 hours and she drove at a constant rate, what was Jennifer's speed in miles per hour?

Answers

325 ÷5=65
So the answer is 65 miles per hour
To double check you multiply 65 and 5, which equals 325, so the answer is correct.

Which of the following is a factor of x2 - 6x – 27? (1 point) O x + 3 O x + 9 O x-1 O None of the above​

Answers

Answer:

(x+3) is a factor of your question

Step-by-step explanation:

x²-6x-27

x²+3x-9x-27

x(x+3)-9(x+3)

(x+3)(x-9)

Answer:

Hope it can help you and please mark me as a brainlist .....

Ok um chile what is 10/11+1/2 if you cant answer this than das oki but plz do :v

Answers

Answer:

I believe it's 1.333

Step-by-step explanation:

Name the property illustrated. 6 + 4 + 1 = 4 + 6 + 1

Answers

Answer:

distribuative property of addition

Step-by-step explanation:

Answer:

I'm going to say expanded form

Step-by-step explanation:

When a 40-foot pole casts a shadow of
30 feet, how tall is a nearby tree that
casts a shadow of 15 feet?

Answers

Set up a ratio with height over shadow height:

40/30 = x/15

Cross multiply:

40 x 15 = 30x

600 = 30x

Divide both sides by 30:

X = 20

The tree is 20 feet tall.

Answer:

20

Step-by-step explanation:

It tells you that a 40 foot pole casts a 30 foot then it asks you how tall is a tree if it casts a 15 foot shadow. We see that 30 is exactly 2 times 15

30 = 2 * 15

So we simply do that to 40 too.

40 / 2 = 20

So 20 is our answer.

Because Kendall's business spent more money than it collected, the business's balance sheet showed a balance of -$1,280$ at the end of the month. The next day, Kendall's business spent $560 on new tools. Part A Kendall determines that the new balance is -$720 because 1,280 + 560 = -720 . Did Kendall correctly determine the new balance? Explain why or why not. If not, calculate the new balance. Respond in the space provided.

Answers

Answer: No. Kendall did not correctly determine the new balance. The new balance is -$1840.

Step-by-step explanation:

From the question, we are informed that Kendall's business spent more money than it collected, and therefore the business's balance sheet showed a balance of -$1,280 at the end of the month. We are informed that the next day, Kendall's business spent $560 on new tools.

Therefore, since Kendall made a purchase, this is an expense and we have to subtract it from the previous balance. This will be:

= -$1280 - $560

= - $1840

The new balance is -$1840

Answer:

She is not correct. The correct answer should be -$1840

Step-by-step explanation:

Explanation: Kendal is ultimately wrong, because in his step in adding the $560 spent on new tools, she had added a positive number, which meant they deposited money to go out of debt. Instead he was supposed to subtract the $560, or even add -$560 to the businesses balance. If calculated correctly, by subtracting $560 to the current balance, it would get us to -$1840.

please help!! I'm confused, ignore the math book thing. And it's asking what property it is, the associative property or the communitive property?

Answers

Answer:

its associative property

Step-by-step explanation:

2+d=2+d

d=2

BRAINLIEST: Solve for x: x^3=25

Answers

Answer: decimal form is

2.92401773 or 2.92

Step-by-step explanation:

Answer:okay so it would be [tex]\sqrt{x} 25[/tex] without the little x though

Step-by-step explanation:

i need help! i lost my notes

Answers

Answer:

sin A= 3/5

sin C= 4/5

cos A= 4/5

cos C= 3/5


1)
12 km
12 km
20 km
Is it a right triangle?​

Answers

Answer:

No, it is a obtuse triangle instead

Step-by-step explanation:

So, you use pythagorean and theorem which is a^2 + b^2 = c^2

So when you plugin in the numbers, it's 20^2__ 12^2 + 12^2

When you square them you get left with 400__144 + 144

Then, you add 144 + 144 = 288

But since 400 is > than 288, then it's an obtuse triangle.

Answer:

No

Step-by-step explanation:

It does not follow the Pythagorean Theorem, which states that the two shorter sides squared (squared BEFORE added together).  12 squared is 144, and 144 plus 144 equals 288.  20, which seems to be the hypotenuse, squared is 400.  288 does not equal 400.

Joe has to get 80% overall in his 3 tests. He gets 60% in one of them. How much percentage does he need for both of the exams to get 80% overall?

Answers

Answer:

80%

90%

Step-by-step explanation:

BRAINLIEST PLEASE

hihiii um ik the answer is 100 but i need the steps and i’m too lazy to even try :)

Answers

Answer:

C = 4x+ 16

Step-by-step explanation:

We know that When two parallel lines are cut by a third line, the third line is called the transversal, forming 8 angles.

From the attached diagram,

∠E and (2x+8) are vertical angles formed by the transversal line.

We know that vertical angles are equal.

Hence,

∠E = (2x+8)

∠A and ∠E are called the corresponding girls.

as

∠E = (2x+8)

so

∠A = ∠E = (2x+8)

Therefore,

C = m∠A + m∠E

C = 2x+8 + 2x+8

C = 4x+ 16

Therefore,

C = 4x+ 16

Which graph best represents a system of equations that has no solution?

Answers

Answer: D

Step-by-step explanation: for each answer they were at least going to interact with each other, unlike answer D

help me plz! Find all missing angles​

Answers

Step-by-step explanation:

m<1=41

m <2=85

m<3=95

m<4=85

m<5=36

m<6=49

m <7=106

Which line on the graph below has a slope of zero?

○ P
○ Q
○ R
○ S​

Answers

Answer:

Q

Step-by-step explanation:

Answer: Q, it's the only horizontal line

if an angle is acute then it measures 20 degrees which of the following would be a counterexample? 48 degrees, 90 degrees, 105 degrees, or 180 degrees

Answers

the counter example would be 105 degrees

The counterexample can be the angle can be 105 degrees.

What is counter example statement?

A counterexample is an example in which the hypothesis is true, but the conclusion is false. If you can find a counterexample to a conditional statement, then that conditional statement is false.

However, showing that a mathematical statement is false only requires finding one example where the statement isn't true. Such an example is called a counterexample because it's an example that counters, or goes against, the statement's conclusion.

Given statement:

if an angle is acute then it measures 20 degrees

As, we know counterexample is an example in which the hypothesis is true, but the conclusion is false.

Also, acute angles measure less than 90 degrees.

Thus, the counter example will be if an angle is acute then it measures 105 degrees

Learn more about counter example here:

https://brainly.com/question/28746172

#SPJ2

Solve 7x + 2 =4x+11 please i have 100 points to offer

Answers

Answer:

x=3

Step-by-step explanation:

7x+2=4x+11 ---> subtract 2 to the other side and subtract 4x to the other side

7x-4x=11-2 ---> combine like terms

3x=9 ---> divide by 3

x=3

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

7x + 2 = 4x + 11

Step 2: Solve for x

Subtract 4x on both sides:                    3x + 2 = 11Subtract 2 on both sides:                      3x = 9Divide 3 on both sides:                          x = 3

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    7(3) + 2 = 4(3) + 11Multiply:                               21 + 2 = 12 + 11Add:                                     23 = 23

Here we see that 23 does indeed equal 23.

∴ x = 3 is the solution to the equation.

Which graph shows a system of equations with an estimated solution of (–3.4, 1.2)? On a coordinate plane, 2 lines intersect around (negative 3.5, 1.8). On a coordinate plane, 2 lines intersect around (1.3, 3.4). On a coordinate plane, 2 lines intersect around (negative 3.5, negative 1.3). On a coordinate plane, 2 lines intersect around (negative 3.4, 1.2).

Answers

Answer:

It's D.

Step-by-step explanation:

Got it on edge

Answer:

yep its D

Step-by-step explanation:

Twice a number decreased by eight is sixteen.

Answers

The number is 12

16 plus 8 = 24/ 2= 12
16 plus 8 = 24 / 2 = 12

Determine all values of k that make each of the following a perfect square trinomial. X^2+8x+k

Answers

Answer:

k can either be

12

or

12

.

Step-by-step explanation:

Consider the equation

0=x2+4x+4

. We can solve this by factoring as a perfect square trinomial, so

0=(x+2)2→x=−2 and−2

. Hence, there will be two identical solutions.

The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have

2 equal, or 1

distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:

k2−(4×1×36)=0

k2−144=0

(k+12)(k−12)=0

k=±12

please order these from greatest to least = 2.086 2.854 2.81

Answers

Answer:

Answer: 2.854, 2.81, 2.086

2.854, 2.81, 2.086

You have to look from left to right to see which number will be greater in the intended value. Ones then tenths then hundredths so forth.

-1/2x>-2x - (-3/4x +1)

Answers

I neeeeeeeed it skkyvbnj

Given the equation y=1/3x+4 , what is the value of y if x = 3? State your answer in decimal form.

Answers

y=5. if you do the problem you would plug in 3 for x, so the equation would be y=1/3(3)+4. 1/3 times 3 equals 1, so then it would be 1 plus 4 which equals 5. therefore, y=5.

hope this helps:)

150 is 96% of what number TWT

Answers

Answer:

156.25

Step-by-step explanation:

150 ÷ 96%

= 156.25

Answer (Three Different Forms):

Decimal:

156.25

Fraction:

[tex]\frac{625}{4}[/tex]

Mixed Number:

[tex]156\frac{1}{4}[/tex]

Step-by-step explanation:

96% is the same as 0.96, and so this problem can be written algebrically as:

0.96 ⋅ x = 150

Solve for x by dividing both sides of the equation by 0.96 to isolate the variable:

x = [tex]\frac{150}{0.96}[/tex]

Divide/simplify [tex]\frac{150}{0.96}[/tex] to get the following three options (you can choose which one to use):

Decimal:

156.25

Fraction:

[tex]\frac{625}{4}[/tex]

Mixed Number:

[tex]156\frac{1}{4}[/tex]

Hope this helps! :)

Find the value of X and Y

(WILL GIVE BRAINY)

Answers

Answer:

y = 62, x = 122

Step-by-step explanation:

Every triangle's sum of interior angles = 180°.

60 + 58 + y = 180

118         + y = 180

y                  = 62

Supplementary angles are adjacent angles that make up a straight angle (180 degrees)

58 + x = 180

x          = 122

Answer:

x = 122°, y = 62°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180 to find y

y = 180° - (60 + 58)° = 180° - 118° = 62°

x and 58° are adjacent angles and are supplementary, thus

x = 180° - 58° = 122°

7.5% sales tax on a $210 bracelet

Answers

The total cost on the bracelet would be $225.75

Answer:

225.75

Step-by-step explanation:

210*7.5%=15.75

add that 15.75 to 210

One number is four more than a second number. Two times the first number is 8 more than four times the second number.

Answers

Answer:

The required numbers are:

First number = 4

Second number = 0

Step-by-step explanation:

Let First number = x

second number = y

We are given:

One number is four more than a second number.

Writing in mathematical form:

[tex]x=y+4[/tex]

Two times the first number is 8 more than four times the second

Writing in mathematical form:

[tex]2x=4y+8[/tex]

Now, we will solve these equations by substitution to find values of x and y

Let:

[tex]x=y+4--eq(1)\\2x=4y+8--eq(2)[/tex]

Now, putting value of x from eq(1) into eq(2)

[tex]2x=4y+8\\Put\:x= y+4\\2(y+4)=4y+8\\2y+8=4y+8\\2y-4y=8-8\\-2y=0\\y=0[/tex]

So, we get y=0

Now put value of y in equation 1 to get value of x

[tex]x=y+4\\x=0+4\\x=4[/tex]

So, we get x=4

So, the required numbers are:

First number = 4

Second number = 0

what are the 3 ways to determine if ratios are
equal to each other?

Answers

Multiply each ratio to the second number of the ratio.
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