1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetllana [295]
3 years ago
10

More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence in their field to keep the sh

eep safe. Being mathematicians, they decide that the fences are to be in the shape of the parabolas y=6x2 and y=x2+9. What is the area of the enclosed region?
Mathematics
1 answer:
Olin [163]3 years ago
6 0

Answer:

Area covered by the fences will be 16.1 unit²

Step-by-step explanation:

Let the first parabola is represented by the function f(x) = 6x²

and second parabola by g(x) = x² + 9

point of intersection of the graphs will be determined when f(x) = g(x)

6x² = x² + 9

5x² = 9

x² = 1.8

x = ± 1.34

Now we will find the area between these curves drawn on the graph.

Area = \int_{-1.34}^{1.34}[f(x)-g(x)]dx=\int_{-1.34}^{1.34}[6x^{2}-(x^{2}+9)]dx

= \int_{-1.34}^{1.34}(5x^{2}-9)dx

= [\frac{5}{3}x^{3}-9x]_{-1.34}^{1.34}

= [\frac{5}{3}(-1.34)^{3}-9(-1.34)-\frac{5}{3}(1.34)^{3}+9(1.34)]

= [-4.01+12.06-4.01+12.06]

= 16.1 unit²

You might be interested in
Help pls ill mark brainlist and follow u
KATRIN_1 [288]

Answer:

area of the shaded figure

\frac{1}{2}  \times 3 \times 10 \\ 15 \:  {cm}^{2}

6 0
3 years ago
Read 2 more answers
Question 6<br> Which is the graph of y=-x-3?<br> Graph B<br> Graph C<br> Graph A
saul85 [17]

Answer:

Step-by-step explanation:

8 0
2 years ago
At the end of a 10-year loan, $13,570 had
Varvara68 [4.7K]

Hiiiiiiiii the answer is .......... I don’t knowwweeee!!!!!

3 0
3 years ago
Read 2 more answers
The Temperature over a 4 day period in Pittsburgh were as follows -6, 10, 6?and -2. Find the mean
Pepsi [2]

Answer:

You add them, then subtract them by how many numbers there are :) So add them then subtract them by 4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
With 1 ≤ |a| &lt; 10 and N is an integer.
Elena-2011 [213]
So a times 10^n where 1≤|a|<10 and n is an integer is what i learned


so

a.
234=
2.34 times 100=
2.34 times 10²


b.
0.000052=
5.2 times 1/100000=
5.2 times 10⁻⁵



c.
-220000=
-2.2 times 100000=
-2.2 times 10⁵


d.  ok, so just count the spaces moved to the left
-18.2 times 10⁻¹⁵
6 0
3 years ago
Other questions:
  • Pretty Please help me asap!!:)
    15·1 answer
  • Marshall wants to run laps around the circular track shown below. He starts at the center of the track and walks 72 yards to the
    8·2 answers
  • the weight of two boxes of oranges is 186 pounds. one-third of the weight of box A and five-sixths of the weight of box B is 110
    10·1 answer
  • 18 − 3d + 14 = -3d − 12. no solution,one solution infinite solutions​
    5·1 answer
  • 0.144 divided by 0.96 show me the work
    9·1 answer
  • Work out<br> a the length of arc AB<br> b the area of the shaded sector.
    12·2 answers
  • Abag contains 2 Snicker
    13·1 answer
  • How do you subtract a deciamal with different denominators?​
    8·1 answer
  • Need help please anwer all its one page question i put in two bc it didnt fit
    12·1 answer
  • Plz help me....<br> What are the coordinates of point A?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!