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
ch4aika [34]
3 years ago
10

The function f is continuous on the closed interval [1,15] and has the values shown on the table above. Let g(x) = ∫f(t) dt [1,x

]. Using the intervals [1,3], [3,6], [6,10], [10,15], what is the approximation of g(15) – g(1) obtained from a left Riemann Sum?
t: 1 3 6 10 15
f(t) 2 3 4 2 -1
Mathematics
2 answers:
Olenka [21]3 years ago
4 0
Hello there.
<span>
The function f is continuous on the closed interval [1,15] and has the values shown on the table above. Let g(x) = ∫f(t) dt [1,x]. Using the intervals [1,3], [3,6], [6,10], [10,15], what is the approximation of g(15) – g(1) obtained from a left Riemann Sum?
t: 1 3 6 10 15
f(t) 2 3 4 2 -1
</span>
39.

Anna11 [10]3 years ago
3 0
We're looking for the two values being subtracted here. One of these values is easy to find:

<span>g(1) = ∫f(t)dt = 0</span><span>
since taking the integral over an interval of length 0 is 0.
 
The other value we find by taking a Left Riemann Sum, which means that we divide the interval [1,15] into the intervals listed above and find the area of rectangles over those regions:

</span><span>Each integral breaks down like so:

(3-1)*f(1)=4

(6-3)*f(3)=9

(10-6)*f(6)=16

(15-10)*f(10)=10.

So, the sum of all these integrals is 39, which means g(15)=39.
 
Then, g(15)-g(1)=39-0=39.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
You might be interested in
30 points!!!
lara31 [8.8K]

Answer:

SAS postulate

Step-by-step explanation:

AD (common)

AC = BD (both are diameters)

Angle COD = Ange AOD (vertically opposite angles)

Angle CAD = Angle BAD (angle on the circumference is half the angle at the centre)

Therefore, ABD and DCA are congruent by SAS postulate

7 0
2 years ago
Can any one help me solve this ?
Neko [114]
The answer to your question is 12b^2
Because 3-12 is -9 pal :)
3 0
3 years ago
Express 125% as a decimal
timurjin [86]

Answer:

1.25

Step-by-step explanation:

Move the decimal place two spaces left to go from a percentage to a decimal. 125.0% becomes 1.25.

3 0
3 years ago
Read 2 more answers
The masses in kilogrammes of 20 bags of maize were 90,94,96,98,99,102,105,91,102,99,105,94,99,90,94,99,98,96,102 and 105. using
Agata [3.3K]

Answer:

djjfskysrkurdlsuruld4lud4lu5li5slir5

7 0
3 years ago
The expression on the left side of an equation is shown below.
Katyanochek1 [597]

Answer:its c i think

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Can you please answer this question it’s easy points!!!
    11·2 answers
  • Alejandra heard that as a general rule, she should spend no more than one week's pay on rent. If Alejandra's pay is $34,000 per
    11·2 answers
  • Please Help!!!
    8·1 answer
  • HELPPPPPPPPPP and explain
    15·1 answer
  • Find the shaded AREA​
    10·1 answer
  • What is the volume of a box with length<br> 1 m, width 8 m, and depth 6 m?
    5·2 answers
  • Please help this might be easy for some people but I’m just not smart
    11·1 answer
  • Umm I don’t remember this please help. I will give correct answer brainliest
    5·1 answer
  • Free 100pts ( comment your favorite Juice Wrld song)
    11·2 answers
  • Find the value of x. Question 4 options: 20 25 18. 75 22. 5.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!