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
Mice21 [21]
3 years ago
6

Find the arc length function for the curve y = 2x3/2 with starting point p0(25, 250).

Mathematics
1 answer:
Xelga [282]3 years ago
3 0
We can calculate this using arc length formula.
L= \int\limits^a_b { \sqrt[]{1+ (\frac{dy}{dx} } )^2} \, dx
The first step is to find the derivative of the given function.
\frac{dy}{dx}=(2 \sqrt{x^3})'
( \frac{dy}{dx} )^2=9x
Now we plug this back into original integral.
L= \int\limits^a_b { \sqrt[]{1+ 9x} \, dx
We solve this integral using substituition u=9x+1. This way we end up solving elementary integral.
A final solution is:
L=\dfrac{2\left(9x+1\right)^\frac{3}{2}}{27}\mid_{25}^{250}
Finaly we get that arc lenght is:
L=7659.29


You might be interested in
What is the product of 710 and 323?<br><br> 135<br><br> 11315<br><br> 21730<br><br> 3715
Firlakuza [10]

Answer:

I think I answer is 21730 I'm not sure tho

3 0
2 years ago
Which choices are equivalent to the quotient below √16/√8
Darya [45]

Answer:

A

Step-by-step explanation:

\frac{\sqrt{16} }{\sqrt{8} }  = \sqrt{\frac{16}{8} }  = \sqrt{2}

Hope this helps!

8 0
2 years ago
X=-4 +6+ (11 +4(-3))
lapo4ka [179]

Answer:

x=1

Step-by-step explanation:

x = -4 + 6 + (11 + 4(-3)).

First get the numbers in the parentheses

x = -4 + 6 + (11 - 12)

Since 11 - 12 = -1. We can replace (11-12) with -1

x = -4 + 6 -1

Now add and subtract

x = 1

4 0
2 years ago
Please Help!
Murljashka [212]
(82,82,) (x+y) answer short
8 0
3 years ago
Complete the equation of the graphed linear function in point-slope form.
vazorg [7]
The point-slope form:
y-y_1=m(x-x_1)
m - slope
x₁, y₁ - the coordinates of a point

It passes through the points (1,-2) and (2,2).
(1,-2) \\&#10;x_1=1 \\ y_1=-2 \\ \\&#10;(2,2) \\&#10;x_2=2 \\ y_2=2 \\ \\&#10;m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-2)}{2-1}=\frac{2+2}{1}=4

\boxed{y-(-2)=4(x-1)}
3 0
3 years ago
Other questions:
  • A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric (measured in yards) that is sold is
    9·1 answer
  • How long will it take to earn $252 in interest if $1200 is invested at 7% annual rate interest?
    7·1 answer
  • If x-2 is a factor of x^2n+1​
    8·1 answer
  • HELPPP HELPPPP. iS this function or relation and why?
    11·2 answers
  • 1. Find the LCM of 35,14 using prime factorization.
    13·1 answer
  • What is half of 5 3/4?
    7·1 answer
  • 4) The width of a rectangle is 8 inches. The length is 4 times its
    14·2 answers
  • Can anyone help me solve this extra cridit worksheet
    12·1 answer
  • GUYS I AM ON THE VERGE OF TEARS I HATE MATH SO MUCH CAN SOMEONE PLS HELP WITH PART B ON THIS GRAPH
    13·1 answer
  • 3X squared plus 5X - 2 =0
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!