A water tank has the shape obtained by revolving the curve y = x^4/3 around the y-axis. What is the solution to get the radius? Preferably has a digram. Prove the equation true in the image,

Q: Find the arc length of y = 3x – 1 on 0 < x < 4. < 4. -

A:

Q: Find the length of the arc of the parabola  x^2 = 4y from x = -2  to x = 2.

A: I am attaching image so that you understand each and every step.

Q: 3. Use Newtons method to find the coordinates, correct to six decimal places, of the point on the…

A:

Q: Find the length of the curve using formula.  y= ln (cosx) bounded by 0 and pi/4

A:

Q: What is the arc length of the curve y = (2/3)(x-4)3/2 from the point where x = 4 to the point where…

A: Given: y=23(x-4)32

Q: Find the point on the ellipse x = 2 cos t, y = sin t, 0 ≤ t ≤ 2π, closest to the point (3/4, 0).…

A:

Q: Find the arc length function for the graph of ƒ(x) = 2x^(3/2) using (0, 0) as the starting point.…

A: Given:

Q: 4. Find the length of arc of the curve x3 + y3 = 1 in the first quadrant from the point where x = to…

A: If a function f(x) is defined over an interval [a,b], then the formula for arc length is: Formulae…

Q: Use Newton’s method to find the coordinates, correct to six decimal places, of the point on the…

A:

Q: 3. Use Newtons method to find the coordinates, correct to six decimal places, or the point on the…

A: Given: The given point on the parabola is: y=(x-1)2  Now we can write the given point of the…

Q: a) Estimate the length of this arc with the length of the line segment joining the endpoints of the…

A:

Q: Find the arc length of the curve y 1 on the interval [1, 2]. %3D 4x2

A: Given:    y = x4/8 + 1/4x2   Interval : [ 1 , 2 ]

Q: Find the length of the curve y = 4x, 0<y< 2. Arc length =

A:

Q: 3. Find the area under one arch of the curve y = sin(2r).

A:

Q: Your metal fabrication company is bidding for a contract to make sheets of corrugated iron roofing…

A:

Q: Calculate the length of arc of y = 2x/² for 0≤x≤1

A:

Q: Find a curve through the origin in the xy- plane whose length is given by 1/2 L = [; (1+ *)"* dx 4

A: The arc length, L of a curve y=f(x) in the interval a,b is calculated using the formula below.…

Q: Find the arc length of the curve y=sqrt (4-x^2), from 0≤x≤2.

A: Solve

Q: Find the arc length function for the curve y = 2x/2 with starting point Po(25, 250). s(x) =

A:

Q: whose x-coordinates are equally ine with parabolic runout conner

A: Given as.     python code :

Q: Find the arc length of y 4x – 1 on 0 < x < 2. -

A:

Q: Use the Trapezium Rule with four strips to estimate the value of: dz. (In z)² Give your answer…

A: Use the formula of the Trapezium Rule to solve the integral. This rule is used to solve the integral…

Q: Between the two towers of a suspension bridge that are 2 kilometres apart, each of the two main…

A:

Q: The length (In units) of one arch of the curve y = 4 sin(2x) is given by L= V1+ 64 cos?(2x) dx.…

A:

Q: Find the length of the arc of the curve y=x+3 from the point where y=2 to the point where y=x^2+1…

A: y=x+3  ⇒x=y-3⇒dx=dy⇒dxdy=1 The formula for the length of the arc from the point y=2 to y=x2+1…

Q: Find the arc length function for the curve y = 2x3/2 starting at the point (1,2). %3D

A:

Q: Find the arc length of the graph of y = -- 2 over (0,4].

A:

Q: Find the length of arc of the curve y =÷(x² + 2)3/2 from the point where x = 0 to the point where x…

A: Consider the given curve: fx=13x2+232Interval  0≤x≤3Differentiate w.r.t.…

Q: Find the arc length of y = 4x/2 on 1 < x < 2.

A:

Q: Find the length of the curve y = = cosh(x), 0 < x < 1. Arc length =

A: Arc length of a curve y=f(x) on [a,b] is given by, L=∫ab1+y'2dx ddxsinh(x)=cosh(x)…

Q: Find the arc length of the graph of y = √(16 − x2) over the interval [0, 4].

A: Given: y=16-x2 interval [0, 4]

Q: Find the exact length of the curve. y = 6 + cosh(3x), 0s x 8 중이nh(3) sinh(3)

A:

Q: Find the arc length of the curve y = log(1/cosx) from x = (/4) tox= (/3)

A:

Q: What is the length of the arc y = (x6/6) + (1/16x4) on the interval [1,2]?

A: Given, function and interval

Q: Find the length of the arc of the curve y = ln x over the interval: 1, 7| . Round the answer to four…

A:

Q: Find the approximate surface area of a sphere of radius 5.02 cm. (SOLVE BY USING DIFFERENTIAL…

A:

Q: Find the Sufface arca 0f the soid of revolution Obtained bu rotatig y=+2x With TtxE2 around メーaxis、…

A:

Q: Find the area of the segment of a sphere formed by revolving the graph of y = V 25 - x2, 0 sx< 4,…

A:

Q: Find the arc length of y = 3x + 5 on 0 < x < 4

A: Consider the given curve, y=3 x2+5 ,     0≤x≤4

Q: What is the arc length of the curve of x5 y = + 10 1 6x3 from x=2 to x = 5?

A:

Q: Find the arc length of the curve x = –3y3/2 from y = 0 to y = 10. Length =

A: To find the arc-length if the curve x=-3y32 from y=0 to y=10 Now, the formula for the arc-length is:…

Q: Find the arc length of the portion of the curve y = 6x with 0<x<1.

A:

Q: Find the area inside the larger loop and outside the smaller loop of the curve + sin(0) 2

A: To find the area inside the larger loop and outside the smaller loop of the below curve. r=12+sinθ

Q: Find the arc 3/2 y= 2x length 1 15x52 of on

A:

Q: Find the exact length of the curve x3 y = 6. 1 <x < 1. 2x Arc length

A: we have to find the arc length of the given curve

Q: Find the length of the arc y =: 8 1 from X = 1 tox = 4. 4x?

A: Graph: Given: y=x48+14x2. So,          y'=x48+14x2' =x32-12x3.

Q: Find the length of the arc of the curve y = (1 + x²) fron the point where x = 0 to the point where x…

A:

Q: Find the arc length of y 3x3/2 for 2 < x < 3.

A:

Q: 4. Use integration to show that the arc length of the circle from (-V3,1) to (V3,1) with the…

A:

Q: The arc length of the portion of the curve y = e* with 3 <x<5 is None sz15.54 sz67937.06 sz128.35

A: