Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region y=4x^2, y=x^2 + 3

Answers

Answer 1

Answer:

Step-by-step explanation:

integrate with respect to x

Area is symmetric so will be twice the integral from zero to 1

( I cannot seem to figure out how to make the lower limit negative in this editor)

[tex]A = 2\int\limits^1_0 {(x^2 + 3) - 4x^2} \, dx[/tex])

[tex]A = 2\int\limits^1_0 {-3x^2 + 3} \, dx[/tex]

[tex]A = 6\int\limits^1_0 {-x^2 + 1} \, dx[/tex]

A = 6(-⅓x³ + x)[tex]\left \| {{x=1} \atop {x=0}} \right.[/tex]

A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))

A = 6(⅔)

A = 4 units²

Sketch The Region Enclosed By The Given Curves. Decide Whether To Integrate With Respect To X Or Y. Then

Related Questions

the length of a rectangly is eight more than twice its width. if the length is less than 34, then what is the width?

Answers

Answer:

13

Step-by-step explanation:

I think u mean if the length is 34. If so heres how to work it out.

l = 2w + 8

l = 34.

34 - 8 = 26

26 / 2 = 13.

Width = 13

Answer:

x < 13

Step-by-step explanation:

Write an equation for the width

2x

→ Write an equation for the length

8 + 2x

→ Set up an equation

8 + 2x < 34

→ Solve

x < 13

in a bag there are only red counters blue and white counters one is taken from the bag the table shows the probability of getting a red counter red red d 0.35 the number of white is 2:3 what’s probability of getting blue and white counter

Answers

The probability of getting blue and white counter is 0.2275

Probability is the likelihood or chance that an event will occur

Probability = n(E)/n(S)

n(E) is the number of eventsn(S) is the sample space

If the the probability of getting a red counter red red 0.35, the probability of getting a blue will be 0.65

Pr(getting blue and white counter) = 0.35 * 0.65

Pr(getting blue and white counter) = 0.2275

Hence the probability of getting blue and white counter is 0.2275

Learn more on probability here: https://brainly.com/question/24756209

Ashley completes 3 homework assignments in 50 minutes. At this rate, how many minutes will it take her to complete 9 homework assignments?

Answers

Answer:

144

Step-by-step explanation:

divide 50 by 3 and then multiply by 9

Explanation=3=50 mins

9=150

150=9000 minutes

Rewrite this equation in Slope-intercept form
(PLEASE SHOW ALL WORK)

Answers

y=3/2x - 1/5

have a great day :)

Find the value of n




Plz help me fast and send the answer​

Answers

Answer:

n is 113

Step-by-step explanation:

Is an isosceles triangle so the base angles are equal

therefor angles sum up to 180

46 + x + x = 180

46 + 2x = 180

2x = 180 - 46

2x = 134

x = 67

now to find n

the sum of angles on a straight line equals 180

n + x = 180

n + 67 = 180

n = 180 - 67

n= 113

Answer:

the base angle of an isosceles triangle are equal

let the base angle be y°

46° + y° + y° = 180°(sum of angles in a ∆)

46° + 2y° = 180°

2y° = 180° - 46°

2y° = 134°

y° = 134/2

y°=67°

n+y=180°[sum of angles on a straight line]

n+67=180°

n=180-67

n=113°

please help me on this​

Answers

Answer:

3

Step-by-step explanation:

2  +  3  =   7

---    ---      ---

6      6       6

Help help help help hep

Answers

Answer:

Yes

Step-by-step explanation:

What is the answer to the question

Answers

Answer:

1/1

Step-by-step explanation:

Which is equivalent to vg*
Og
O 78%
12784
8 4x

Answers

Answer:

  (c)  (12th root of 8)^x

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex](a^b)^c=a^{bc}\\\\\sqrt[n]{a}=a^{1 \! /n}[/tex]

In this case, we have ...

  [tex](\sqrt[3]{8})^{x/4}=8^{1/3\cdot x/4}=8^{x/12}=\boxed{\left(\!\sqrt[12]{8}\right)^x}[/tex]

Find the equation of the line.

Answers

Answer:

y = 2x + -3

Step-by-step explanation:

Use the equation y=mx+b

m is the slope (2 in this case)

b is the y intercept (-3 in this case)

The equation of the line would be y = 2x + -3

A crew of highway workers paved 1/5 mile in 1/8
hour. If they work at the same rate, how much
will they pave in one hour?

Answers

Answer: 2/5 Step-by-step explanation: The easiest approach is to realize that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.  

Factor the expression to fill in the blank. 25 + 45 = ? (5 + 9)

Answers

Answer:

25 + 45 = 5 (5 + 9)

Step-by-step explanation:

25 + 45 = ? (5 + 9)

Step 1: 25 ÷ 5 = 5

Step 2: 25 ÷ 9 = 5

? = 5

ANSWER: ? = 5
Ok done. Thank to me :>

Find the value of k so that (x + 3) is a factor of H(x) = 3x^3 – 2x^2 + kx – 3.

A. 34
B. 20
C. -20
D. -34
E. 32

Answers

D. -34

Explanation:

3(-3)³ - 2(-3)² + (-3)k - 3 = 0

-81 - 18 - 3k - 3 = 0

3k = -102

k = -34.

candy is 5 years older than one-third Liam's age .if candy is 16,how old is Liam

Answers

Answer:

33

Step-by-step explanation:

16-5=11

11×3=33

so yeah

Answer:

18

Step-by-step explanation:

PLS HELPPPPP!!!!!!!!

Answers

Answer:

not even bill nye could solve this

What does this equal 2(4+5) over 3

Answers

2(4+5) = 18
so 18/3 = 6

Need help asap algebra 1

Answers

Answer:

Charlie is walking to the stadium. He has to wait for the traffic to stop, so he can cross the street. The light turns red and he is able to cross. He makes it to the stadium.

Step-by-step explanation:

hope this helps!!

Answer:

Charlie began walking and continued at a speed of 4 mph for 24 minutes. Then he stopped walking and took an 8-minute rest. He then walked for 16 minutes at a constant speed of 4 mph. Finally, Charlie slowed his pace down but kept walking for another 16 minutes.

This is a special array.
1,2,2,5,2,2,9,0,...
what is next number?

Answers

Answer:

2

Step-by-step explanation:

the first number is one .then you write number two twice . The next number is the summation of the three previous numbers .then you write number two twice and the next number is the summation of the three previous numbers .and you do that regularly

What do you add to 17/4 to make 5?

Answers

The number that can be added to 17/4 to make 5 is 3/4

How to add fractions

Given

Add to 17/4 to make 5

let

x = number added

x + 17/4 = 5

x = 5 - 17/4

x = (20-17) / 4

x = 3/4

Learn more about fraction:

https://brainly.com/question/11562149

Which of these is opposed by kinetic friction?

Select one:

a.
a cat standing in a yard


b.
a book sitting on a table


c.
a box sliding on a floor


d.
a child leaning on a building

Answers

Answer: c

Step-by-step explanation:

Answer: C

Step-by-step explanation:

2. Nora's bill at a store is $125. If she leaves a 2% tip for the gate keeper,
how much will the total bill be, including tip?

Answers

Answer:

$127.50

Step-by-step explanation:

All you have to do is $125 times 1.02 because it is adding to the price it is already.

$125 × 1.02.

Which is $127.50.

2% of 125 is 2.5
2.5 dollars plus 125 dollars would give you a total bill of $127.50

1. If you roll two fair dice, what is the probability that the sum of both rolls is 8?

Answers

Answer:

1/4

Step-by-step explanation:

Sample space = 12

Prob of sum = 8 is:

[2,6], [3,5]. [4,4]

That is 3/12 = 1/4

You are training for the upcoming bike and hike race. On the days you bike, you will ride 8 miles. On the days you hike, you will walk 3 miles. By the end of the training you want to have covered at least 200 miles. Write a linear inequality to represent this situation. Let x represent days biked and y represent days hiked.

Answers

Answer:

8x + 3y [tex]\geq[/tex] 200

Step-by-step explanation:

Suppose log7(10) = a and log7( 5) = b. Use the change-of-base formula along with properties of
logarithms to rewrite each expression in terms of a and b.

Answers

Step-by-step explanation:

log 10/log7=a

log10=alog7

log10=log7^a

10=7^a

log 5/log7=b

log5=blog7

log5=log7^b

5=7^b

A boat is traveling at a constant speed. In 2 hours, the boat travels 180 miles. How many hours will it
take the boat to travel 225 miles?

Answers

Answer:

2 1/2 hours

Step-by-step explanation:

For 1 hour, it would travel 90 miles.

For half of 90 which is 45 it would travel 1/2 hr.

225-180 is 45 miles, which is another half hr.

2 hrs plus 1/2 hr is 2 1/2 hours.

A car is driving at 100kilometers per hour. How far, in meters, does it travel in 2 seconds? Give answer to
nearest meter.

Answers

Answer:

72

Step-by-step explanation:

brainlest pls

solve for w: 35=0.35 x w

Answers

Answer:

w=100

Step-by-step explanation:

Every time you multiply a decimal by 20 the dot goes one place to the right Example: 0.35 x 10= 3.5 or 0.35 x 100= 35

please help! will mark brainliest.

Answers

Answer:

16

Step-by-step explanation:

HELP ME OUT PLEASE!!!

Which function represents the relationship between x and y?

D) y = x - 2

C) y = x + 4

B) y = 2x

A) y = x + 2​

Answers

Answer:

The Answer is "A"

Step-by-step explanation:

x+2=y

I need help on these functions questions

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

Substitute x = - 1 into f(x)

f(- 1) = 6 - 2(- 1) = 6 + 2 = 8

(b)

Substitute x = [tex]\frac{1}{3}[/tex] into g(x)

g([tex]\frac{1}{3}[/tex] ) = [tex]\frac{9}{\frac{1}{3} }[/tex] = 9 × 3 = 27

(c)

Substitute x = f(x) into h(x)

h(6 - 2x)

= 6 + (6 - 2x)² ← expand using FOIL

= 6 + 36 - 24x + 4x² ← collect like terms

= 4x² - 24x + 42

(d)

Substitute x = f(x) into g(x)

g(6 - 2x)

= [tex]\frac{9}{6-2x}[/tex]

(e)

Evaluate g(12) then substitute value obtained into f(x)

g(12) = [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{4}[/tex] , then

f([tex]\frac{3}{4}[/tex] ) = 6 - (2 × [tex]\frac{3}{4}[/tex] ) = 6 - [tex]\frac{3}{2}[/tex] = [tex]\frac{9}{2}[/tex]

(f)

Evaluate f(- 9) then substitute the value obtained into h(x)

f(- 9) = 6 - 2(- 9) = 6 + 18 = 24 , then

h(24) = 6 + 24² = 6 + 576 = 582

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