Which set of numbers represents the RANGE for the following table
x -3 4 6 -12

y 5 -6 2 0

A

{−6,0,2,5}


B

{4, 5, 6, 12}


C

{−3,4,6,12}


D

{0, 5, 6, 2}

It looks like you're given

F'(x) = 3x² + 7

and

F (0) = 5

and you're asked to find F(b) for the values of b in the list {0, 0.1, 0.2, 0.5, 2.0}.

The first is done for you, F (0) = 5.

For the remaining b, you can solve for F(x) exactly by using the fundamental theorem of calculus:

[tex]F(x)=F(0)+\displaystyle\int_0^x F'(t)\,\mathrm dt[/tex]

[tex]F(x)=5+\displaystyle\int_0^x(3t^2+7)\,\mathrm dt[/tex]

[tex]F(x)=5+(t^3+7t)\bigg|_0^x[/tex]

[tex]F(x)=5+x^3+7x[/tex]

Then F (0.1) = 5.701, F (0.2) = 6.408, F (0.5) = 8.625, and F (2.0) = 27.

On the other hand, if you're expected to approximate F at the given b, you can use the linear approximation to F(x) around x = 0, which is

F(x) ≈ L(x) = F (0) + F' (0) (x - 0) = 5 + 7x

Then F (0) = 5, F (0.1) ≈ 5.7, F (0.2) ≈ 6.4, F (0.5) ≈ 8.5, and F (2.0) ≈ 19. Notice how the error gets larger the further away b gets from 0.

A better numerical method would be Euler's method. Given F'(x), we iteratively use the linear approximation at successive points to get closer approximations to the actual values of F(x).

Let y(x) = F(x). Starting with x₀ = 0 and y₀ = F(x₀) = 5, we have

x₁ = x₀ + 0.1 = 0.1

y₁ = y₀ + F'(x₀) (x₁ - x₀) = 5 + 7 (0.1 - 0)   →   F (0.1) ≈ 5.7

x₂ = x₁ + 0.1 = 0.2

y₂ = y₁ + F'(x₁) (x₂ - x₁) = 5.7 + 7.03 (0.2 - 0.1)   →   F (0.2) ≈ 6.403

x₃ = x₂ + 0.3 = 0.5

y₃ = y₂ + F'(x₂) (x₃ - x₂) = 6.403 + 7.12 (0.5 - 0.2)   →   F (0.5) ≈ 8.539

x₄ = x₃ + 1.5 = 2.0

y₄ = y₃ + F'(x₃) (x₄ - x₃) = 8.539 + 7.75 (2.0 - 0.5)   →   F (2.0) ≈ 20.164

Answer:

B

Step-by-step explanation:

you do 0.74 + 0.18 and then subtract 0.8

Answer:

heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

52

Step-by-step explanation:

angle R is a right angle which is 90°

if you add angle S and angle R you get angle PQS because sum of two opposite interior angle is equal to it's exterior angle

34°+90°=x+72°

124°=x+72°

x=124°-72°

x=52°

Answer:

jflsnfjclewndlsfjnenqwpcpoop

Step-by-step explanation:

Hehe

Answer:

2/16-6/16

Step-by-step explanation:

Step-by-step explanation:

y+7=3x

6x-2y=12

y=3x-7

6x-2(3x-7)=12

6x-6x-14=12

-14=12

There is no solution.

Answer:

-4 degrees Celsius

Step-by-step explanation:

F = 25

Substitute into formula:  25 = 9/5C + 32

subtract 32 from each side:  -7 = 9/5C

multiply each side by the reciprocal of 9/5, which is 5/9

-7(5/9) = C

C = -35/9 which is close to -36/9 which is -4 degrees Celsius                                        

Answer:

08:15 pm

Step-by-step explanation:

2:45 + 2:15 + 0:45 + 2:30

=8:15

Answer:

c!

Step-by-step explanation:

good luck! :)

Answer:

Step-by-step explanation:

angles x, 2x, and 23.7 add up to 180 degrees

x + 2x + 23.7 = 180

3x + 23.7 = 180

subtract 23.7 on both sides

3x + 23.7 - 23.7 = 180 - 23.7

3x = 156.3

divide both sides by 3

x = 52.1

Angle C is a straight line = 180 degrees

Angle B is found by adding 32.5 and x, and subtracting it from 180 degrees (since three angles in a triangle must add up to 180)

we found x = 52.1 degrees

so angle B = 180 - 32.5 - 52.1 = 95.4 degrees

please give heart and brainliest :)

Answer:

8 is the right answer

Step-by-step explanation:

in triangle swu,, wT bisect and perpendicular on su

so the triangle is isosceles triangle

therfore,Sw =, 8

Answer:

simple

Step-by-step explanation:

p= 30

hahahaha asking how

ok let's go

that 90°is also 90°in those angles around it

for the 140

sum of angles in a straight line =180

180-140

that's 40

90+40 =130

then sum of angles in a triangle=180

therefore 180-130=50

MAGIC/WISDOM

hope it's helpful thank me later

Answer:

They intersect when the Strike king is at (9,15.75) and Thunder Alley is at (7, 15.75). But only the X axes intersect. The X and Y axes intersect at (0,0) that's where they start and that is where they meet. Its a proportional relationship because their ratios are equivalent. It represents the constant of proportionality.

Step-by-step explanation:

I think 88 problems were on the test.

Answer:

C. not enough info

Step-by-step explanation:

Since the indicated angle in the triangle on the left is between the two sides that are marked congruent, and the marked angle on the triangle on the right is not between the two marked sides, there is not enough information to say whether the two triangles are congruent or not.

Answer:

Step-by-step explanation:

we know that distance d from the focus to P should be the same to the distance from P to the directrix

(x-h)^2=4p(y-k)

we need to find the y coordinate,

x is the same from focus, 3

y=(3, (4+2)/2)=(3,3)

we find p now by subtracting the y from the focus from the y that we just found

p=4-3=1

again (x-h)^2=4p(y-k), p=1

(x-3)^2=4(1)(y-3)

(x-3)^2=4(y-3),  (x-3)^2=4y-12

simplify

4y=(x-3)^2+12

y=((x-3)^2)/4 + 3

The equation for the parabola would be y = ((x-3)^2)/4 + 3.

We already know that distance d from the focus to P must be the same as the distance from P to the directrix

(x-h)^2 = 4p(y-k)

x is the same from focus 3

y = (3, (4+2)/2)

y  =(3,3)

by subtracting the y from the focus from the y that we get

p = 4-3 =1

similalry,

(x-h)^2=4p(y-k), p=1

(x-3)^2=4(1)(y-3)

(x-3)^2=4(y-3),  

(x-3)^2=4y-12

simplify it;

4y=(x-3)^2+12

y = ((x-3)^2)/4 + 3

Thus, the equation for the parabola would be y = ((x-3)^2)/4 + 3.

Learn more about parabola here;

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Answer:

2 1/4

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

here you go mate

step 1

-2s < 6  equation

step 2

-2s < 6  divide the sides by 2

-2s/-2<6/-2

answer

s>-3

Answer:

c electrical to kinetic

Answer:

D

Step-by-step explanation:

Chemical to electric to kinetic

Answer:

1.5

Step-by-step explanation:

Well, if we calculate the divisionary constant between the two values we can establish a quantum link on the 4th dimension and then add 12 to both sides of the equation, then calculate the square of the 7th digit in the alphabet, giving the answer 1.5.

or like,

change in y value divided by change in x value, giving;

(10-1) / (7-1)

Answer:

[tex]Leg\ 1 = 8[/tex]

[tex]Leg\ 2 = 15[/tex]

Step-by-step explanation:

Given: See Attachment

Required

Determine the length of the legs

To do this, we apply Pythagoras theorem.

[tex]Hyp^2 = Adj^2 + Opp^2[/tex]

In this case:

[tex]17^2 = x^2 + (2x- 1)^2[/tex]

Open Bracket

[tex]17^2 = x^2 + 4x^2- 2x-2x + 1[/tex]

[tex]17^2 = 5x^2 - 4x + 1[/tex]

[tex]289= 5x^2 - 4x + 1[/tex]

Collect Like Terms

[tex]5x^2 - 4x + 1 - 289 = 0[/tex]

[tex]5x^2 - 4x - 288 = 0[/tex]

Solving using quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

So:

[tex]x = 8[/tex] or [tex]x = -7.2[/tex]

Since, x can't be negative, then:

[tex]x = 8[/tex]

One of the leg is:

[tex]Leg\ 1 = x[/tex]

[tex]Leg\ 1 = 8[/tex]

[tex]Leg\ 2 = 2x - 1[/tex]

[tex]Leg\ 2 = 2*8 - 1[/tex]

[tex]Leg\ 2 = 16 - 1[/tex]

[tex]Leg\ 2 = 15[/tex]

Step-by-step explanation:

By Sine rule, BC/sin93° = 11/sin42°.

Therefore BC = 16.4.

Answer:

x=4

Step-by-step explanation:

since y=7x

x+7x=32

8x=32

x=4

Answer:

x=4

Step-by-step explanation:

x+y=32

y=7x

Since Y can be replaced by 7x, substitute into eq1.

x+y( notice y can be replaced by 7x) =32

x+7x=32 ( Y got replaced

8x=32

Divide 8 on both sides.

x=4

Hope this helps plz hit the crown :D

Answer:

the largest number of people she can sit at a table is 18.

Step-by-step explanation:

there would be 13 tables

The required possible tables is 13 and the largest number of people she can sit at a table is 18.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

A wedding planner she did the 234 guests at a reception so that each table have the same number of guest if each table could see no more than 20 people.

According to given question we have

Total number of guest=234

i.e  234/13=18 people

The largest number of people she can sit at a table is 18.

The possible tables can arrange to sit the guest is 13.

Therefore, the required possible tables is 13 and the largest number of people she can sit at a table is 18.

Learn more details about arithmetic here:

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Answer:

right  =86

left=94

Step-by-step explanation:

they should add up to 180 so,

6x+52+9x+23 =180

then solve for x

15x+75=180

subtract 75

15x=105

divide by 15

x=7 ,

the left side is

6(7)+52=

42+52=94

the right side

9(7)+23=

63+23=86

(please mark brainliest if correct)

Answer:

I wanna say "5"

Step-by-step explanation:

pluging in 5 for every X should get you

15

Answer:

Step-by-step explanation:

a. 35 greater than or equal to 14 + x

   35 - 14 = 21

   x = $21

b. If the shirt is 30% off it would cost $9.80

   14 x 0.3 = 4.2

   14 - 4.2 = 9.8

   35 is greater than or equal to 9.80 + x

   35 - 9.8 = 25.2

   x = $25.20

   This changes the inequality by making x greater than it was in part a

c. Yes, you do have enough money to buy the shirt that is on sale and a pair of pants. x is the amount that you have left to spend after you buy the shirt that is on sale. 25.20 is greater than the cost of the pants.

Answer:

1.71 × 10^8 gallons

Step-by-step explanation:

1.9 × 10^7 = 19,000,000

19,000,000 × 9 = 171,000,000

171,000,000 in scientific notation is 1.71 × 10^8