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
What is 8/9 of 3/8?<br> A. 11/72<br> B. 2/7<br> C. 1/3<br> D. 3/7
Sedaia [141]
If you are talking about Multiplying them together then it’s 1/3 because you go 8x3
And 9x8 which makes 24/72 simply and then you get 1/3
3 0
2 years ago
Read 2 more answers
In 2015 there was a population of 155 opossums on and around the Gunn campus. The per capita birth rate in 2015 was 0.11/year an
belka [17]

Answer: 0.02 per year

Step-by-step explanation:

When given the per capita birth rate and the per capita death rate, the per capita growth rate can be calculated as:

= per capita birth rate - per capita death rate

= 0.11 - 0.09

= 0.02/year

= 2% per year

7 0
2 years ago
1. Solve the equation.
Keith_Richards [23]

Answer:

1. -3

2. -12

3. 20

4. -15

5. 6

6. -15w+5

7. 10

8. C<-26

9.p> -40

10. P> 16

Step-by-step explanation:

~ -9p -17 = 10

-9p = 27

P = -3

~ x/4 -5 = -8

x/4 = -3

x = -12

~ p/5 +6 =10

p/5 = 4

p = 20

~ -2(m-30) =-6m

-2m+60=-6m

4m = -60

m = -15

~ 3n +2=8+2n

n = 6

8 0
3 years ago
If the sales tax for the city of Richmond is 6%, how much tax would you pay for a Playstation 5 that costs
shtirl [24]
Start by converting 6% to a decimal by dividing by 100, = 0.06

Multiply that by the cost of the PlayStation five, and that is how much tax you pay.

499.99 x 0.06 = 29.9994
The question says to round it to the nearest hundredths, so it’s $30
5 0
3 years ago
Choose the correct subject pronoun for ' como te llama' tu ella ellos ustee
GuDViN [60]

Answer:

ustee

Step-by-step explanation:

The other ones don't make sense if you insert them into that sentence

8 0
3 years ago
Other questions:
  • Determine the end behavior for function f(x)=-x^4+5x^3-3
    9·1 answer
  • Percent decrease from 64 to 21 round to the nearest percent<br><br> Thx :))
    12·1 answer
  • Write two verbal expressions for 2d
    10·2 answers
  • Bob left work and traveled to school at an average speed of 25 mph. If it took bob 35 minutes to reach school, how far is Bob's
    7·1 answer
  • 3 Complete each statement from the information given and state the reasons and the triangle criterion you used. If the triangles
    5·1 answer
  • please tell me how does 20 times 30 equal 90 please tell me so i can tell my teacher about iready so i dont have to do it
    14·1 answer
  • I ONLY NEED HELP WITH PART B
    12·1 answer
  • I dont know what is the missing number 6 x ? x 3 = 90
    10·1 answer
  • HELP ME SOMEBODY PLEASE 8 more
    13·2 answers
  • The mean number of hours that American women who worked outside of the home per week was 34.6 hours with a standard deviation of
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!