Find the area of the shaded region.f(x)=4x+3x2−x3,g(x)=0
The area is _____.

Answers

Answer 1

Answer:

The answer is " [tex]\bold{\frac{7}{2}}[/tex]"

Step-by-step explanation:

Given value:

[tex]\to f(x)=4x+3x^2-x^3\\\\\to g(x)=0[/tex]

Find:

area=?

calculation:

[tex]\ Area = \int_{-1}^{0} -(4x+3x^2-x^3) dx + \int_{0}^{1} (4x+3x^2-x^3) dx \\\\[/tex]

        [tex]= -(2x^2+x^3- \frac{x^4}{4})_{-1}^{0} + (2x^2+x^3- \frac{x^4}{4})_{0}^{1}\\\\\\= -( 2x^2+x^3- \frac{x^4}{4})_{-1}^{0} + (2x^2+x^3- \frac{x^4}{4})_{0}^{1}\\\\\\= ( 2- 1 -\frac{1}{4}) + (2+1- \frac{1}{4})\\\\\\= ( \frac{8-4-1}{4}) + (\frac{8+4-1}{4})\\\\= ( \frac{3}{4}) + (\frac{11}{4})\\\\= \frac{3}{4} + \frac{11}{4}\\\\= \frac{11+3}{4}\\\\= \frac{14}{4}\\\\= \frac{7}{2}\\\\[/tex]


Related Questions

V=1/3(pie)r(squared)h Need to isolate h.

Answers

Answer:

[tex]\frac{v}{\frac{1}{3}\pi^{2}}=h[/tex]

Step-by-step explanation:

Divide V by everything you don't need on the right side.

So, You should end up with

[tex]\frac{v}{\frac{1}{3}\pi^{2}}=h\\[/tex]

expressions that are equivalent to -8.

Answers

Answer:

f(1)=5x-13=-8

Step-by-step explanation:

5-13=-8

or

f(1)=5x-13=-8

In order to isolate the variable term in the equation 6 – 2x = –3 using the subtraction property of equality, which number should be subtracted from both sides of the equation?
–3
–2
3
6

Answers

negative 3


hope this helps

Brett gets 5.3% Commission on all of his sales. If he makes $5500 in a week,
what is his commission for the week

Answers

Answer:

291.5

Step-by-step explanation:

5500×5.3

that's pretty much it lol

How many 1s are in 20?​

Answers

the answer is 20 1's in 20
20? Like if your asking how many 1s go into 20 it’s 20 because 20 divided by 1

28=8k+12-7k I HAVE 1 minute to answer this and show work QUICK PLEASE

Answers

Answer:

Step-by-step explanation:

16=k

The value of k from the given equation is 16.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 28=8k+12-7k.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 28=k+12

k=28-12

k=16

Therefore, the value of k from the given equation is 16.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Write the expression as the sine cosine or tangent of an angle calculator.

Answers

Answer:

hello your question is incomplete here is the complete question

write the expression as the sine, cosine,  or tangent of an angle.

[tex]sin 60 cos 15 + cos 60 sin 15[/tex]

answer : [tex]sin 60 cos 15 + cos 60 sin 15 = sin 75[/tex]

Step-by-step explanation:

To write the expression as the sine,cosine or tangent of an angle we will employ the trigonometry identity

[tex]sin 60 cos 15 + cos 60 sin 15[/tex]  can be represented in the form of ;

sin( u + v ) = sin u cos v + cos u sin v --------- (1)

comparing equation 1 with the given expression

u = 60 and v = 15

therefore writing the expression in the form of the sine of an angle would be the answer

= sin( 60 + 15 )  = sin 60 cos 15 + cos 60 sin 15

hence sin ( 75 ) = sin 60 cos 15 + cos 60 sin 15

To one decimal place, 93 must lie between
and

Answers

Answer:

9.3

Step-by-step explanation:

To move one decimal you move one digit left.

Given g(x)=−2x2+1, find the indicated values: g(-4)

Answers

g(-4) means inputing -4 into x. So you will be replacing x with -4 in order to find a y for that input (-4). So...

g(-4)=-2(-4)^(2) + 1
=8^2 +1
= 64 +1
=65
(btw the question is a bit weird so im assuming that you forgot the exponent sign and it is -2x^2 + 1)

line g has a slope of 9/5. line h is perpendicular to g. what is the slop of line h?

Answers

Answer:

-5/9

Step-by-step explanation:

Note. If the line is parallel, then the slope is shared. If the line is perpendicular (directly opposite), it means to flip the sign as well as the fraction.

The slope of line g is 9/5. This means that the slope of line h, (which is perpendicular to line g), would be the opposite, or -5/9

-5/9 is your answer.

~

Solve for x: 4(x + 3) - 2 = 14

Answers

Answer:

X = 1

Step-by-step explanation:

4(x + 3) - 2 = 14

4x + 12 - 2 = 14

4x + 10 = 14

4x = 4

x = 1

Answer:

x = 1

Step-by-step explanation:

4(x+3) - 2 = 14

4x + 12 - 2 = 14

4x +10 = 14

4x = 14 - 10

4x = 4

x = 4/4

x = 1

What number must be added to 36 to obtain −17?

Answers

That would be 36 + -53 = -17 is -53

11.
- 2x + y -z= 2
-x-3y + z = -10
3x + 6z= -24

Answers

What do you need exactly

Solve the equation and find the value of x. 10(x + 3) - (-9x - 4) = x - 5+ 3
Your answer

Answers

Answer:

10(x + 3) - (-9x - 4) = x - 5+ 3

10x+30+9x+4=x-2

19x+34=x-2

19x-x= -2-34

18x=-36

x= -2

A recipe says that 2 cups of dry rice will serve 6 people. How many cups of rice are needed to serve 45 people?
(Please Help)

Answers

Answer:

7.5 cups pf rice

Step-by-step explanation:

45 divided by 6

Find the volume of a cylinder with the height 25cm and radius 5cm

Answers

Answer:

= 1963.5cm³

Step-by-step explanation:

radius=5

height=25

V=πr2h=π·52·25≈ 1963.49541cm³

can someone please help me out with this?

Answers

Answer:

B. segment AG is congruent to segment OL

Step-by-step explanation:

Given f(x) = |x| and g(x) = 2x-3. Solve for (f ⚬ g)(x)

Answers

Step-by-step explanation:

(f o g)(x)

= f(g(x))

= f(2x - 3)

= |2x - 3|

what is 100000x 0

asdfssfddkddnssnbsbdbbdbbdbdbbdbbdbdbbbdvvddbdd. dbdbddbdbbbdbbd​

Answers

Anything multipled by 0 will always equal 0

Which property does the equation illustrate?
0 +-b= -b?

Answers

Answer:

The property the equation illustrates would be the zero property of addition.

Step-by-step explanation:

The additive property of zero states that when you have any number and add zero to it, your answer will always equal the original number.

Neil are 99% of the pizza. Did Neil eat the Entire Pizza? Yes or No

Answers

Answer:

No

Step-by-step explanation:

100 - 99 = 1.

He left 1% of pizza.

Therefore, the answer is no.

Answer:

no ◇◇

Step-by-step explanation:

I hoped I helped ◇◇

A gallon of gas cost $2.16. Rob buys 13.5 gallons of gas. How much did he pay?

Answers

Answer:

$29.16

Step-by-step explanation:

Each gallon of gas is $2.16.

13.5 gallons of gas is 2.16 (13.5) = $29.16.

Rob spent $29.16 on gas. You get this by multiplying the amount a gallon of gas costs by the amount of gallons he bought. 2.16 x 13.5 = 29.16

a rectangular with a perimeter of 32 cm has a base of x-3 cm and a height of 2x+7 cm what are the length in cm of the rectangle base an height​

Answers

Answer:

Step-by-step explanation:

Perimeter = 32

length = x - 3

width = 2x + 7

Perimeter = 2* Length + 2* width

Perimeter = 2*(x-3) + 2(2x + 7) = 32         Remove the brackets.

2x - 6 + 4x + 14 = 32                                  Combine

6x + 8 = 32                                                 Subtract 1 from both sides

6x = 32 - 8

6x = 24                                                       Divide by 6

x = 24/6

x = 4

So the base = x - 3 = 4 - 3 = 1

The height  = 2*4 + 7 = 8 + 7 = 15

Lina rolled a die.

What is the probability that she got 3?

Answers

1/6 (if it’s a regular dice you’re talking about.

Answer:

1/6

Step-by-step explanation:

So asuming that she didn't roll a biased die the probability of getting a three is 1/6

This is because the total outcomes are 6 and there is only one three thus the probability that she got 3 is 1/6.

HOPE THIS HELPED

. When the process of solving a linear inequality results in the variable being eliminated with a false statement remaining, what does this mean about the solution set of the inequality?

Answers

Answer:

No Solution

Step-by-step explanation:

When we solve linear inequalities using any one the methods such as

1) Elimination  or

2) Substitution

And we get  the variable eliminated with a false statement remaining, this means there is no solution.

In other words the solution does not exist or the solution is not possible in the given range or the values given are false.

But when the values are true we get a solution for the variable solved.

In the elimination method we eliminate the same terms by addition or subtraction after making them equal.

And the substitution method requires putting the values of one variable in place of another.

I need help and it’s due today

Answers

Answer:

45

Step-by-step explanation:

f(x)=3x 2 +16 Find f(-1)

Answers

Answer:

X-18/3

Step-by-step explanation:

Assuming you meant 3x+18

The inverse f(-1) of the equation is above.

21
Find an equation of the line containing the given pair of points.
(4,5) and (12,8)

Answers

The answer is 8y=3x+28

point a is at (-7,-9) and point b is at (6,3) what is the midpoint of line segment AB

Answers

Answer:

(-1/2,-3)

Step-by-step explanation:

(-7,-9) =x1, y1

(6,3) = x2, y2

now,

Mid point= x1+x2 /2 , y1+y2 /2

= -7+6 /2, -9+3 /2

= (-1/2 , -3)

The water level in a pool drops 8 iches in a day so what is the average level drop in each hour

Answers

it would be 0, hope this helps :)
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