Question

Asked Mar 8, 2019

Number 12

Step 1

**Arc length of the curve:**

Arc length is the distance between two points along a section of a curve.

The length of the continuous function *x *= *f*(*y*) on the interval [a,b] is given below:

Step 2

**Find the derivate ( dx/dy) of x = (2/3)*(y–1)^{3/2}:**

The given function is *x *= (2/3)*(*y*–1)^{3/2}.

The derivate (*dx*/*dy*) of *x *= (2/3)*(*y*–1)^{3/}2 is obtained as (*y* – 1)^{1/2} from the calculation given below:

Step 3

**Find the arc length of the curve x = (2/3)*(y–1)3/2 on the interval [16, 25]:**

The derivate (*dx*/*dy*) of the continuous function is (*dx*/*dy*) = .

It is g...

Tagged in

Q: Find the point on the surface x2 − 2xy + y2 − x + y = 0 closest to the point (3, 4, −5).

A: Consider the provided surface

Q: skecth the graph a) f(x)=(x-2)2(x+3) b)f(x) = x2-1/x c)f(x) = 2x/x2-1 d)f(x) = -23 + 7x2 - 2x...

A: To sketch the graph of given function :

Q: Kindly help me with this differential equation and identify P(x), Q(x) and v(x).

A: The given differential equation is,

Q: Consider an object moving along a line with the following velocity and initial position. vit) 9-t on...

A: Consider an object moving along a line with the velocity and initial position.

Q: Use a reference triangle in an appropriate quadrant to find the given angle.

A: The given equation is,

Q: Help please.

A: The given function is (tan-1x)2.

Q: Let (0 ifx-5 f(x) 0 ifz 4 and 9(x)-f(t)dt 5 Determine the value of each of the following (d) g(5) (e...

A: The functions are given as

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the ...

A: Consider the provided curve:

Q: C). Find an 'n' where Midpoint Rule would guarantee estimation within 6 decimal places.

A: Let's get the concepts in place, before we proceed to solve this.For an integral I (as shown on the ...