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]
3 years ago
7

How do you do this question?

Mathematics
1 answer:
alina1380 [7]3 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
Through (-1,-3) slope=8
gtnhenbr [62]

Answer:

y=8x+5

Step-by-step explanation:

Please see attached picture for full solution.

I assume that you are trying to find for the equation of the line.

First, substitute the value of the slope given into m in the equation.

Then substitute the coordinates into x and y to find the y-intercept.

4 0
3 years ago
What is -18.278-(6.8)
Nastasia [14]

your answer would be -25.078

i hope this helps.!

5 0
3 years ago
What’s the correct answer for this question?
Helen [10]

Answer:

( -1 , 1 )

Step-by-step explanation:

(x1,y1) = (5,9)

(x2,y2) = (-7,-7)

=(-7+5/2 , -7+9/2)

= (-1,1)

3 0
3 years ago
0.87 written as a fraction is _____. <br><br> options: 8 over 8<br> 79 over 90<br> 81 over90
atroni [7]
It’s actually 87/100. It couldn’t be one of those answers that you listed...
3 0
3 years ago
Read 2 more answers
The Eiffel Tower is about 301 meters tall. Cooper is making a scale model of it using the scale 750 meters : 1 meter.
vaieri [72.5K]
Hi im doing this test right now and what is the answer lol

7 0
3 years ago
Other questions:
  • 18 lb3 oz + 25 lb5 oz
    5·1 answer
  • Find the tenth term in each sequence:-<br><br> A. -2,-6,-18,-54<br><br> B. 7,9,12
    10·2 answers
  • Which unit rate is the lowest price a.6oz of chocolate chips for $2.49
    15·1 answer
  • 50 POINTS &amp; BRAINLIEST PLEASE HELP
    6·2 answers
  • A triangle’s height is 6c meters and the base is c – 1 meters. Brian knows that the area of the triangle is 18 square meters and
    14·2 answers
  • What is the value of k(-3) when k(t) = -|4t|
    11·1 answer
  • Please help asap!!! It’s late!
    13·2 answers
  • Find the perimeter. Simplify your answer.
    5·2 answers
  • PLEASE HELP WITH STEPS 25 POINTS!!!!<br> Simplify
    12·1 answer
  • Box a has a volume of 32 cubic meters. box b is similar to box a. to create box b, box a's dimensions were tripled. what is the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!