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
Rina8888 [55]
2 years ago
7

How do you do this question?

Mathematics
1 answer:
alina1380 [7]2 years ago
7 0

Answer:

(8√2) / 15

Step-by-step explanation:

A curve bounded by the y-axis is represented by in terms of dy;

\int \:x\:dt

When the curve crosses the y-axis, x will be 0. In this case x is the function of t, so we have to solve for x(t) = 0;

0 = t^2 + 2t --- (1)

Solution(s) => t = 0, t = 2

dy = (1/2 * 1/√t)dt --- (2)

Our solutions (0, 2) are our limits. The area of the curve is in the form A\:=\:\int _b^a\:f\left(t\right)g'\left(t\right)dt , so now let's introduce the limits of integration, x(t) and dy/dt. Remember, dy/dt = (1/2 * 1/√t) (second equation). 1/2 * 1/√t can be rewritten as 1/2 * t^(-1/2)....

A\:=\:\int _2^0\:\left(t^2-2t\right)\left(\frac{1}{2}t^{-\frac{1}{2}}\right)dt\\\\= \int _2^0\:\left(\frac{1}{2}t^{\frac{3}{2}}-t^{\frac{1}{2}}\right)dt\\\\= \left[\frac{t^{\frac{5}{2}}}{5}-\frac{2t^{\frac{3}{2}}}{3}\right]_2^0\\\\= 0\:-\:\left(\frac{4\sqrt{2}}{5}-\frac{4\sqrt{2}}{3}\right)\\\\= \frac{8\sqrt{2}}{15}

Your solution is 8√2 / 15

You might be interested in
Which addition property is demonstrated by this problem?<br><br> 23 + (4 + 3) = (23 + 4) + 3
makvit [3.9K]
Answer;
Commutative Property

It is considered commutative when changing the order of the operands does not change the result.

(a brainliest would be appreciated)
8 0
3 years ago
You survey 200 people about the electronics they own. The results show that 33/40 people own a cell phone. Of these people, 10/1
guajiro [1.7K]
200 * 33/40 = 165 owns phones
165 * 10/11 = 150 owns phones and MP3 player

Therefore 3/4 owns both and
165 owns only phones
5 0
3 years ago
Which graphs show functions with direct variation? select three options.
Nikolay [14]

Answer:

the daily graphs

Step-by-step explanation:

the news paper

4 0
2 years ago
How do i calculate the first quartile and the third quartile??? <br> !!!please help!!!
diamong [38]

Answer: The Median: 78, The First Quartile: 63, and The Third Quartile: 99

Step-by-step explanation: Ok, so let's put the data set from least to greatest....

(63, 63, 76,) (77, 79,) (84, 99, 99)

First Quartile              Third Quartile

First, let's find the median, since you made a little mistake...

77 + 79 = 156

156 ÷ 2 = 78

The median is 78!

Now, let's determine the first quartile and the third quartile.

For the the first quartile/third quartile it'll be the middle number, if it's even we'll do the same extra step just like we'll do for the median. In this case it's not even therefore...

First Quartile: 63

Third Quartile: 99

I hope this helps!

5 0
2 years ago
You can afford a $950 per month mortgage payment. You've found a 30 year loan at 7% interest. a) How big of a loan can you affor
Lubov Fominskaja [6]

Based on the amount to be paid per month, the size of the loan you can afford is $142,792.19.

The total amount you pay to the loan company is $342,000.

The interest on the money is $199,207.81.

<h3 /><h3>What is the size of the loan?</h3>

The size of the loan is the present value associated with that loan payment that you can afford:

950 = (7/12% x Present value) / ( 1 - (1 + 7/12%)⁻⁽³⁰ ˣ ¹²⁾

950 = (7/12% x Present value) / 0.8767

Present value = $142,792.19

The total amount of money paid is:

= Number of periods x Payment per period

= 30 years x 12 months per year x 950

= $342,000

The interest is:

= 342,000 - 142,792.19

= $199,207.81.

Find out more on interest payments on loans at brainly.com/question/13005100

#SPJ1

4 0
1 year ago
Other questions:
  • How do you write 2/3 as a decimal?
    6·2 answers
  • What is the LCM of 5 , 17 and 26?​
    10·1 answer
  • The science teacher needs 32 hand lenses. She already has 24. Hand lenses come in packages of 8. How many packages should she or
    8·1 answer
  • If the measure of a central angle is 213 degrees, then the measure of the arc it intercepts is
    13·1 answer
  • a pair of snow boots at an equipment store in big bear that originally cost $60 is on sale for $36.what is the rate of discount
    12·2 answers
  • Ethan needs to save at least $500 to purchase a new dirt bike. So far, he has saved $175. If he hopes to use two-fifths of his n
    11·2 answers
  • Help please thanks! :)
    10·1 answer
  • 4 A nurse is administering pain medication to
    8·1 answer
  • Help please i need the answer to this
    8·2 answers
  • This is a question from my sibling's math class.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!