Mathematics, 19.07.2019 23:30, sophie5988

Farmer jones, and his wife, dr. jones, decide to build a fence in their field, to keep the sheep safe. since dr. jones is a mathematician, she suggests building fences described by y=6x2 and y=x2+2. farmer jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to his wife. what is the area of the enclosed region?

Answers: 2

Show answers

Answers

answered: Josenoguez7431

$\frac{8}{3}\times \sqrt{\frac{2}{5}}$

Step-by-step explanation:

Given two upward facing parabolas with equations

y=6x^2 & y=x^2+2

The two intersect at

6x^2=x^2+2

5x^2=2

x^2 = $\frac{2}{5}$

x= $\pm \sqrt{\frac{2}{5}}$

area enclosed by them is given by

A= $\int_{-\sqrt{\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left [ \left ( x^2+2\right )-\left ( 6x^2\right ) \right ]dx$

A= $\int_{\sqrt{-\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left ( 2-5x^2\right )dx$

A= $4\left [ \sqrt{\frac{2}{5}} \right ]-\frac{5}{3}\left [ \left ( \frac{2}{5}\right )^\frac{3}{2}-\left ( -\frac{2}{5}\right )^\frac{3}{2} \right ]$

A= $\frac{8}{3}\times \sqrt{\frac{2}{5}}$

answered: Guest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

answered: Guest

The answer is 10. sorry i was wrong the 1st time

Similar questions

Mathematics, 13.07.2019 13:00, devikapal101

Farmer jones, and his wife, dr. jones, decide to build a fence in their field, to keep the sheep safe. since dr. jones is a mathematician, she suggests building fences described by y=6x2 and y=x2+10. farmer jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to his wife. what is the area of the enclosed region? 42.164

Answers: 1

continue

Health, 26.07.2019 05:30, dtrammel91

Mr. jones was working on his roof and fell off sustaining a severe head injury that has left in a coma. before he fell from the ladder, he and his wife, mrs. jones, were in the process of getting a divorce. however, the divorce was not final. which statement best describes the circumstance regarding who may authorize access to mr. jones records? (a) his wife can t authorize access because they were getting a divorce. (b) his wife may authorize access because she is considered the next of kin and they are still married. (c) legal counsel must be sought to represent mr. jones. (d) mr. jones eldest son can authorize the access.

Answers: 2

continue

Mathematics, 07.09.2019 03:20, felicityhanson1252

Mrs jones has ducks and sheep on her farm. the animals have a total of 6 heads and 16 legs. how many ducks does mrs jones have? how many sheep does mrs jones have?

Answers: 3

continue

Biology, 29.09.2019 10:30, champqc702

Based on his behavior right after he tries to rob mrs. jones in " you, m'am," which statement is true about roger? a. he has met mrs. jones before. b. he does not regret what he has done. c. his friends forced him to try to rob mrs. jones. d. he is frightened of mrs. jones.

Answers: 1

continue

Do you know the correct answer?

Farmer jones, and his wife, dr. jones, decide to build a fence in their field, to keep the sheep saf...

Questions in other subjects:

Arts, 30.01.2020 08:43

The vocal chords consist of __ that vibrate because of the movement of air...

Mathematics, 30.01.2020 08:43

The table represents some measurements that johnny recorded in his math class. what values could x and y represent, respectively? a)radius and area of a circleb)side le...

Mathematics, 30.01.2020 08:43

The social secruity tax rate is 6.2% and is paid on the first $97,500 of income. the medicare tax rate is 1.45% and applies to al earnings. john bob makes $350,000 each year as a p...

Mathematics, 30.01.2020 08:44

solve the following quadratic equation...

History, 30.01.2020 08:44

Who started the republican abraham lincoln or thomas jefferson plz give me the real answer. : )...

Social Studies, 30.01.2020 08:44

The supreme court has original jurisdiction in what types of cases?...

Arts, 30.01.2020 08:44

Can someone give me some funny puns that has a purpose? we will make a visual pun with a clay for example the pun is "why do teddy bears dont eat at the picnic? " "because...

English, 30.01.2020 08:44

Which excerpt from part 2 of the odyssey best support the conclusion that odysseus is clever?...

Health, 30.01.2020 08:44

Name one amino acid that has more than one codon. name an amino acid that has only one codon....

History, 30.01.2020 08:44

Which action by the president is not a check on the power of the legislative branch?...

Other tasks in the category: Mathematics More task