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
Oksanka [162]
2 years ago
14

Sketch the region enclosed by 2y=3sqrt(x), y=4, and 2y+4x=7. Decide whether to integrate with respect to x or y, and then find t

he area of the region.
History
1 answer:
iragen [17]2 years ago
6 0

The area of the region is 183/100 Square units

<h3>Calculations and Parameters</h3>

y = (5/2) sqrt(x) = 4

===> 25x = 64

===> x = 64/25

y = (5/2)sqrt(x) = (-3x+8)/2

===> 25x = 9x^2 - 48x + 64

===> x = 1

Area = Integral ( 0 to 1) ( 4-(-(3/2)x -4))dx + Int(1 to 64/25)(4 - 2′5 sqrt(x)dx

= (3x^2/4) ( from 0 to 1) + (4x - (5/3)x^(3/2)) from 1 to 64/25) = 3/4 + 27/25

Area = 183/100

Hence, we can see that the area of the region is 183/100 Square units

Read more about integration here:

brainly.com/question/22008756

#SPJ1

You might be interested in
Someone please write a five paragraph essay on Issac Newton and how he helped the Age of Revolution.
Oksi-84 [34.3K]

Explanation:

Sir Isaac Newton PRS (25 December 1642 – 20 March 17 march )was an English mathematician, physicist, astronomer, theologian, and author who is widely recognised as one of the most influential scientists of all time and as a key figure in the scientific revolution. His book Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), first published in 1687, established classical mechanics. Newton also made seminal contributions to optics, and shares credit with Gottfried Wilhelm Leibniz for developing the infinitesimal calculus.

Sir Isaac Newton,

Newton built the first practical reflecting telescope and developed a sophisticated theory of colour based on the observation that a prism separates white light into the colours of the visible spectrum. His work on light was collected in his highly influential book Opticks, published in 1704. He also formulated an empirical law of cooling, made the first theoretical calculation of the speed of sound, and introduced the notion of a Newtonian fluid.

In addition to his work on calculus, as a mathematician Newton contributed to the study of power series, generalised the binomial theorem to non-integer exponents, developed a method for approximating the roots of a function, and classified most of the cubic plane curves.

Newton was a fellow of Trinity College and the second Lucasian Professor of Mathematics at the University of Cambridge. He was a devout but unorthodox Christian who privately rejected the doctrine of the Trinity. Unusually for a member of the Cambridge faculty of the day, he refused to take holy orders in the Church of England. Beyond his work on the mathematical sciences, Newton dedicated much of his time to the study of alchemy and biblical chronology, but most of his work in those areas remained unpublished until long after his death.

Politically and personally tied to the Whig party, Newton served two brief terms as Member of Parliament for the University of Cambridge, in 1689–90 and 1701–02. He was knighted by Queen Anne in 1705 and spent the last three decades of his life in London, serving as Warden (1696–1699) and Master (1699–1727) of the Royal Mint, as well as president of the Royal Society.

He had great role in revolution.

5 0
3 years ago
Read this question:
arsen [322]
The answer would be No, slaves are not equal to white people and should not be counted. I hope that helped!
6 0
4 years ago
Read 2 more answers
Which of the Ten Commandments forbids the making of images to represent God?
VMariaS [17]

Answer:

Number 2.

Explanation:

Hope that I could help.

God bless you

5 0
3 years ago
What role did the balance of power play in europe when louis XIV reigned?
3241004551 [841]
His goal was to expand his empire and gain more prestige among nations
7 0
3 years ago
Which ocean is labeled #1? Atlantic Pacific Arctic Southern​
Lisa [10]

Answer:

pacific

Explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which was not one of the long term causes of work war 1
    14·1 answer
  • The Epic of Gilgamesh was the product of the _____ civilization.
    15·1 answer
  • What was the main effect of poll taxes and literacy tests put in place in the South at the end of the 19th century?
    12·1 answer
  • One reason for the growth of medieval towns was the principle of "stadtluft macht frei," or "town air makes you free," which mea
    12·2 answers
  • Question 5 (1 point)
    9·1 answer
  • How did the Marquis de Lafayette and Baron von Steuben play similar roles in the American Revolution?
    7·2 answers
  • In which of these regions of the world would you find pyramid structures similar to the one seen here?
    6·2 answers
  • One of the powers the president has is the ability to
    12·1 answer
  • The filibuster is not as strong a weapon as it used to be because of .
    12·1 answer
  • Describe 2 key features of the catholic beliefs about the organisation of the church
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!