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
irinina [24]
3 years ago
6

6.4 Q3.) Use Simpson's rule to approximate and use the fundamental theorem of calculus to find the exact value of the definite i

ntegral.

Mathematics
1 answer:
Sav [38]3 years ago
5 0

When we divide the interval from 1 to 5 into 4 subintervals, each has a width of 1. Simpson's rule has us evaluate the integral as

... integral = (1/3)(f(1) +4f(2) +2f(3) +4f(4) +f(5)) = (1/3)(10 +4·25 +2·46 +4·73 +106)

... integral = (1/3)(600) = 200 . . . . . by Simpson's rule

_____

The integral evaluates to

\displaystyle \int_{1}^{5}{\left(3x^2+6x+1\right)}\,dx=\left[x^3+3x^2+x\right]\limits_{1}^{5}=(5^3-1^3)+3(5^2-1^2)+(5-1)\\=124+3*24+4=200

_____

Simpson's rule uses a quadratic interpolation, so evaluates quadratics exactly.

You might be interested in
Hannah is participating in a marathon. She can run 4 miles in 50 minutes. At this rate, how long will it take Hannah to run 30 m
ra1l [238]
The answer is c


Because if it takes 50 minutes to run 4 miles you need to divide 50/4 and you will get 12.5 and then multiply that by 30 cause she is trying to run 30 miles and that will get you 375 and then divide that by 60 cause their are 60 minutes in a hour and you will get 6.25
3 0
3 years ago
Solve for r.
Serhud [2]

If I assume that p is supposed to be r, then:

r = 12.5

or

r = 25/2 is improper or 12 & 1/2 is proper

8 0
3 years ago
Frank is planting a flower garden. He plants 2 lilies for every 3 rose bushes. If Frank plants 12​ lilies, how many rose bushes
Alja [10]

Answer:

17 rose  bushes

Step-by-step explanation:

Add all of them together  to find the answer. HOPE this helps:> please mark brainliest

7 0
2 years ago
Read 2 more answers
I need some help on my hw! Find the area
Andrej [43]
Area is length times width 42x20=840
3 0
3 years ago
Read 2 more answers
Explain the differences (exponents)<br><br> -6^4 and (-6)^4
wel

Step-by-step explanation:

-  {6}^{4}  =  - 1296 \\  \\  (-  {6})^{4}  =  1296

The product of -6^4 is negative whereas the product of (-6) ^4 is positive.

7 0
3 years ago
Other questions:
  • The coordinates of quadrilateral FGHJ are F(-5, -3), G(-3, 3), H(3, 5), and J(7, -1).
    6·1 answer
  • Simplify the radical expression. Use absolute value symbols if needed.
    6·1 answer
  • I need help please???
    11·1 answer
  • Divide. Enter your answer as a fraction in simplest form.
    15·1 answer
  • ∠x and ∠y are supplementary angles. ∠y Measures 116੦. What is the measure of ∠x?
    12·1 answer
  • on monday, 205 students went on a trip to the zoo. all 4 buses were filled and 5 students had to travel in cars how many student
    9·2 answers
  • A cone of base 10 cm^2 and a height of 60 cm has what volume?
    6·1 answer
  • Which expression converts 8 radians to degrees?
    9·2 answers
  • In which set do all of the values make the inequality 2x-1&lt;10 true?
    7·2 answers
  • 1 &amp; 1/3 plus 1 &amp; 3/4
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!