# calc: simpson's rule & arc length

23,848 results

### Calculus ll - Arc Length/Simpson's Rule

Use Simpson's Rule with n=10 to estimate the arc length of the curve. Compare your answer with the value of the integral produced by your calculator. x = y + y^(1/2), 1 ≤ y ≤2

### Calculus - Simpson's Rule and Arc Length

Can any show me step by step on how to get this? I keep on getting different answers... Thank You! Use Simpson's rule with n=10 to estimate the arc length of y=x^(-1/3), for 1 <= x < 6.

### calc: simpson's rule & arc length

i'm still getting this question wrong. please check for my errors: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. y = tan x, 0 <or= x <or= pi/4 .. this is what i did: y' = sec(x)^2 (y')^2 = [sec(x)^2]^2 [f'(x)]^2 = sec(x)^4 Integral of sqrt( 1 + ...

### Calculus

use the simpson's rule with n=10 to estimate arc length of y=x^(-1/3), for 1<=x<6

### Calculus

Use Simpson's Rule with n = 10 to estimate the arc length of the curve. y = tan x, 0 < x < π/9

### Calculus

Use Simpson's Rule with n=10 to estimate the arc length of the curve. Compare your answer with the value of the integral produced by your calculator. x = y + y^(1/2), 1 ≤ y ≤2

### Maths C

I need to compare and contrast Weddle's Rule and Simpson's rule and outline a distinguishing difference between them. I understand Simpson's Rule but I am finding it difficult to obtain clear information about Weddle's rule.

### calculus SIMPSON RULE

Use Simpson's Rule and all the data in the following table to estimate the value of the integral . x -16 -15 -14 -13 -12 -11 -10 y -8 9 4 9 -5 -9 3

### Calculus II - Simpson's Rule

Find the Error resulted from approximation by Simpson's Rule: integral (from 0 to 1) sqrt( 1+x^3) dx ... compute the result for n=8

### calc arc length

Find the length of the arc along f(x) = integral from 0 to x^3 sqrt(cos t) dt on the set of x [0, pi/3].

### AP Calc B/C

Find the arc length of one arch of the sine curve. I started it by doing y=sinx, y'=cosx arc length= integral of sqrt(1+cos^2x)dx from pi/2 to 3pi/2 but I don't know how to integrate that! Thank you!

### apex geometry

Hannah constructed two similar circles as seen in the image below. If the arc length of the larger circle is , which of the following would be true? A. The arc length of the smaller circle is proportional to the radius of the smaller circle. B. The arc length of the larger ...

### Math Arc Length

Find the arc length corresponding to an angle of a degrees on a circle radius of 4.9 Enter the exact answer. I put the arc length was 4.9api/180 got it wrong. Any help?

### multivariable calc

Please help! Find the point where the curve r(t) = (12sint)i -(12cost)j +5k is at a distance 13pi units along the curve from the point (0,-12,0) in the direction opposite to the direction of increasing arc length. (Hint: ty -13pi for arc length)

### Algebra/ Pre Calc

The area of a circle is 78.5 square centimeters, and a subtending arc on the circle has an arc length of 6π. The estimated value of π is 3.14.

### Simpson's rule

Is the simpson's rule always more accurate than the midpoint rule and trapezoidal rule? Not always; it is possible that the midpoint and/or trapezoidal rule determine exact values. 1. Some functions values for a function f are given below. x 0 0.5 1.0 f(x) 3 4 11 What is the ...

### calc

find the arc length of f(x)=x^2/2

### math

Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) The integral of e^(3sqrt(t)) sin3t dt from 0 to 4. n=8

### calculus

Use the trapezoidal rule and simpson's rule to approximate the value of the definite integral âˆ«2,1 ln xdx; n =4

### Calculus

A pendulum swings through an arc length of 1120 cm (Swing #1). With each further swing, the arc length is reduced by 15 % State the growth factor. Calculate the length of the arc in swing #5 I think im supposed to use this formula again, but I don't know how to use it. Tn = ar...

### Calculus Hard Question

A pendulum swings through an arc length of 1120 cm (Swing #1). With each further swing, the arc length is reduced by 15 % State the growth factor. Calculate the length of the arc in swing #5 I think im supposed to use this formula again, but I don't know how to use it. Tn = ar...

### calc 3

find the arc length of the curve r(t)= <6sqrt(2),e^t,e^(-6t)>

### math

Whats the difference between an arc [of a circle]'s length and measure? And how do you find each of them? The "measure" of an arc is the angle that it subtends from the center of the circle. Call that angle A. The length of the arc is 2 pi R * [A/(2 pi)] = R*A, if A is in ...

### calculus 2

use the simpsons rule with n=10, arc length y=^3√x, for 1<=x<6

### calc II

Find the arc length of the graph of the function over the interval [1,2].

### calculus 2

use the simpsons rule with n=10, arc length y=^3sqaure root x, for 1<=x<6

### math

evaluate: cos (arc sin (4/5) - arc tan 2) with out using a calc.

### Algebra

A tennis player's swing moves along the path of an arc. If the radius of the arc's circle is 4 feet and the power and the angle of rotation is 100 degrees, what is the length of the arc?

### Geometry

What is the radius if: degree of measurement of arc=30 length=1/3xy(pi) My answer was 8xy. degree of measurement of arc=40 length=8/9(t)(pi) My answer was 9t. degree of measurement of arc=18 length=6(y)pi My answer was 45y. These are the questions I missed, along with my ...

### Math rem

2.Find the length of the arc in a circle if the radius of the circle is 24cm and the degree of the arc is 90o 3.Find the length of the arc if a circle if the degree if the arc is 120o and the length of the radius is 8cm. 4. A circle has a radius of 7. Find the diameter (D) and...

### CALC

what is the arc length of y=x^4/8 + 1/(4x^2) [-1,-2] i have tried this many times but i am not achieving the answer of 33/16 which is supposed to be correct....much help is appreciated

### Calc

Find the arc length of the graph of the function over the indicated interval. y = (x⁵/10) - (1/(6x³)) , [1,20] Thank you so much!!

### algebra

The area of a circle is 78.5 square centimeters, and a subtending arc on the circle has an arc length of 6pi. The estimated value of is 3.14. what is the measure of the angle subtended by the arc in degrees?

### Calc 2

I'm asked to find the arc length of the curve y=3+(1/2)sinh(2x) from 0 to 1. I figured it out up to the integral of sqr(1+(cosh(2x))^2) from 0 to 1, but I'm not sure how to go on to solve it.

### calculus

f(1)= 20, f(3)=13, f(5)=15, f(7)=16, f(9)=11, on [0,6] a, used midpint rule with n=5 to estimate intergral form 0 to 10 f(x)dx b, use trapezoidal rule with n=4 to estimate intergral from 1 to 9 f(x)dx c, used simpson's rule with n=4 to estimate intergal from 1 to 9 (x)dx

### Calculus

Using the trapezoid rule with n = 8 to approximate the arc length of the graph of y = 2x^3 - 2x + 1 from A(0,1) to B(2,13) you get (to three decimal places): A.) 6.900 B.) 13.896 C.) 14.093 D.) 13.688 E.) 13.697

### Trig

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.? Radius, r=16 ft Arc length, s=10 ft

### math

∮_0^1▒∫_1^2▒〖(x^2+y^2)dxdy〗using simpson's one third rule

### maths

find the radius of the circle if length of arc is 4p cm and angle made by the arc at the centre is 40 deg.find the area made by the arc.

### Calculus (Definite Integrals - Arclength)

Using the trapezoid rule with n = 8 to approximate the arc length of the graph of y = 2x^3 - 2x + 1 from A(0,1) to B(2,13) you get (to three decimal places): A.) 6.900 B.) 13.896 C.) 14.093 D.) 13.688 E.) 13.697

### Physics

While riding a Ferris wheel, the rider determines that the Ferris wheel makes 1.5 revolutions per minute. a) knowing that the diameter of the Ferris wheel is 100 ft, determine the angular speed (in rad/s) of the Ferris wheel. b) Determine the linear speed (in ft/s) of the ...

### geometry

A circle has a circumference of 12. It has an arc of length 8/5 What is the central angle of the arc, in degrees?

### geometry

arc AB is 55 degrees. the radius of the circle is 4 inches. what is the length of arc AB?

### geomtry

find the arc length of the minor arc withe degree of 120 and a radius of 8

### Bobby

Find the length (in cm) of an arc of a circle with radius 12 cm if the arc subtends a central angle of 30°.

### glgmnhs

An arc of a cirle measure 30°.if the radius is 5cm,what is the length of the arc? Give the solution.

### precalculus

The question is...find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. Then it gives the radius r of 27 inches and an arc length s of 6 inches. How do I do that?

### geometry

If the arc on a particular circle has an arc length of 14 inches, and the circumference of the circle is 84 inches, what is the angle measure of the arc?

### geometry

If the arc on a particular circle has an arc length of 14 inches, and the circumference of the circle is 84 inches, what is the angle measure of the arc?

### geometry

If the arc on a particular circle has an arc length of 14 inches, and the circumference of the circle is 84 inches, what is the angle measure of the arc?

### calc: arc length

Posted by COFFEE on Monday, June 11, 2007 at 11:48pm. find the exact length of this curve: y = ( x^3/6 ) + ( 1/2x ) 1/2 <or= x <or= 1 im looking over my notes, but i'm getting stuck. here's my work so far: A ( 1 , 2/3 ) B ( 1/2 , 49/48 ) y' = [1/6 (3x^2)] + [1/2 (-1x^-2...

### geometry

Circle O above has a circumference of 240 cm and arc XW has a length of 60 cm. What is the measure of the central angle associated with arc XW?

### Mathematics

Use Simpson’s rule to estimate ∫_0^2▒〖1/8 e〗^(x^2 ) dx with a maximum error of 0.1

### Math

Use Simpson's Rule and all the data in the following table to estimate the value of the integral b=-5 a=-11 x= -11 -10 -9 -8 -7 -6 -5 y= 6 -9 -3 -9 -1 -9 -1

### geometry

The radius of a circle is 6cm and the arc measurement is 120 degrees, what is the length of the chord connecting the radii of the arc?

### calculus

Find the length of the arc formed by y = (1/8)(4x^2-2ln(x)) from x=4 to x=8. I found the derivative of the function and got y'= x-(1/4x) Where I'm lost now is after plugging it into the arc length equation: integral of sqrt(1+(x-(1/4x))^2). Squaring the derivative yields me ...

### Geometry

Find the arc length, of a 130 degree arc, in a circle with a diameter of 7.2 inches. Round your answer to the nearest thousandth

### Geometry

Find the arc length, of a 130 degree arc, in a circle with a diameter of 7.2 inches. Round your answer to the nearest thousandth

### math

An arc AB of length 5cm is marked an a circle of radius 3cm. Find the area of the sector bounded by this arc and the radii from A and B.

### Calculus

Use Simpson's rule with n = 4 to approximate. Keep at least 2 decimal places accuracy. Integrate: (cos(x))/(x) x=1 to 5

### mathematics

use Simpson's Rule with n=10 to approximate the area of the surface obtained by rotating the curve about the x-axis. y = xln(x) from 1 < x < 2

### Calculus

The area a meadow was approximated by measuring the length of the meadow at 30-foot intervals. THe distances measured across the meadow were 76 ft, 118 ft, 130 ft, 143 ft, 139 ft, 136 ft, 137 ft, 139 ft, 130 ft, 122 ft, and 60 ft. Use Simpson's Rule to approximate the area of ...

### Math

In a circle whose radius is 13 cm, a central angle intercepts an arc that measures 65o. What is the arc length? Round your answer to the nearest hundredth of a centimeter.

### math

Use Simpson's Rule and all the data in the following table to estimate the value of the integral (with 7 at the bottom, 13 at the top) ydx. x 7 8 9 10 11 12 13 y -5 -2 6 7 8 0 -4

### Maths (Calculus)

A current i = 50sin 100πt mA flows in an electrical circuit. Determine, using integral calculus, its a) Mean Value b) RMS Value each correct to 2 decimal places over the range t = 0 to t = 10 ms I need to do this two way so I was thinking of using the trapezoidal rule and...

### math

What's the minimum. length of the arc on the cicumference of the earth,where a curvature of the horizon is appearent? OR---What's the max.length of cord,drawn on the cicumference of the earth,where length of the cord appears same as arc? Follow up 2nd question---At what ...

### McLoughlin

1841. Describe what happened between Simpson and McLoughlin. In 1841, Simpson toured the area again and discovered that the fur trade was not expanding as he had hoped. He decided to consolidate the operations of the maritime fur trade. All coastal posts were to be closed, ...

### physics

A charge of 21 nC is uniformly distributed along a straight rod of length 4.3 m that is bent into a circular arc with a radius of 1.7 m. What is the magnitude of the electric field at the center of curvature of the arc?

### math

The length of an arc of a circle equals 1/8 of the circle's circumference. What is the diameter of the circle if the length of the arc is 3.14?

### math

The length of an arc of a circle equals 1/8 of the circle's circumference. What is the diameter of the circle if the length of the arc is 3.14?

### Physics

A meter stick is rotated about the end labeled 0.00 cm, so that the other end of the stick moves through an arc length of 8.60 cm. Through what arc length s does the 25.0-cm mark on the stick move? I have no clue what Im doing, I know S=tr but what is t?

### calc

I was given a decreasing concave down graph of the integral F(x) from 0-8. i have to say whether the following are greater then, less then,equal to, or unable to determine each other 1. T (greater then) M 2. T (greater then) R 3. M (less then) S 4. S ? actual integral where t=...

### CALC

I was given a decreasing concave down graph of the integral F(x) from 0-8. i have to say whether the following are greater then, less then,equal to, or unable to determine each other 1. T (greater then) M 2. T (greater then) R 3. M (less then) S 4. S ? actual integral where t=...

### physics

A meter stick is rotated about the end labeled 0.00 cm, so that the other end of the stick moves through an arc length of 6.20 cm. Through what arc length s does the 25.0-cm mark on the stick move? any help, please?

### computer program

where can i find a computer code for Simpson's 1/3 Rule using c++? please help. thank you.

### physics

A meter stick is rotated about the end labeled 0.00 cm, so that the other end of the stick moves through an arc length of 7.40 cm. Through what arc length s does the 25.0-cm mark on the stick move?

### physics

A meter stick is rotated about the end labeled 0.00 cm, so that the other end of the stick moves through an arc length of 6.04 cm. Through what arc length s does the 25.0-cm mark on the stick move?

### Geometry

In ⊙B the length of arc ST is 3π inches and the measure of arc ST is 120. What is the radius of ⊙B?

### math

An angle of 1.8 radians at the center of the circle subtends an arc of length 23.4cm. Find: (a) The radius of the circle (b) The area of the sector enclosed by the arc and the radii.

### Geometry

A circle has a radius of 3 an arc in this circle has a central angle of 20 degrees what is the length of the arc

### social studdies

posted this yesterday, some person replied. not sure if shes right. 1841. Describe what happened between Simpson and McLoughlin. In 1841, Simpson toured the area again and discovered that the fur trade was not expanding as he had hoped. He decided to consolidate the operations...

### Calc I

How do I find the derivative for the sqrt(sin(e^(x^3)*cos(x)))??? I know this is a combination of the chain rule and product rule. Please help!

### MATHS

Find arc length of y=logx from x=1 to x=2. dy/dx)^2=1/x^2 arc length=Int of [sqrt(1+1/x^2)]dx =Int of [sqrt(1+x^2)/x^2] =Int of [sqrt(1+x^2)]/x from x=1 to x=2. How to proceed further to integrate?

### Calculus

Find arc length of y=logx from x=1 to x=2. dy/dx)^2=1/x^2 arc length=Int of [sqrt(1+1/x^2)]dx =Int of [sqrt(1+x^2)/x^2] =Int of [sqrt(1+x^2)]/x from x=1 to x=2. How to proceed further to integrate?

### Physics

When a wheel is rotated through an angle of 35 degrees, a point on the circumference travels through an arc length of 2.5 m. When the wheel is rotated through angles of 35 rad and 35 rev, the same point travels through arc lengths of 143 m and 9.0 X 10^2 m, respectively. What ...

### calculus (limits)

lim h>0 sqrt(1+h)-1/h not sure how to factor this; not allowed to use L'Hopital's Rule. (that isn't taught at my school until Calc II & I'm in Calc I).

### math

suppose the diameter of a circle has length d. the length of a chord is c and the length of the arc cut off by the cord is s. express sin(s/d) in terms of c and d

### PreCalculus

Cone Problem Beginning with a circular piece of paper with a 4- inch radius, as shown in (a), cut out a sector with an arc of length x. Join the two radial edges of the remaining portion of the paper to form a cone with radius r and height h, as shown in (b). What length of ...

### Math

Cone Problem Beginning with a circular piece of paper with a 4- inch radius, as shown in (a), cut out a sector with an arc of length x. Join the two radial edges of the remaining portion of the paper to form a cone with radius r and height h, as shown in (b). What length of ...

### Geometry

The circumference of a circle is 20 pi cm. Find diameter, radius, and area of the disk, the length of an arc of 90 angle and area of a 90 angle sector. Answer in terms of pi. d= ___ r= _____, disk area= _______ arc length =______, sector area =________

a) Determine the measure of the central angle that is formed by an arc length of 5 cm in a circle with a radius of 2.5cm. Express the measure in both radians and degrees, correct to one decimal place. b) Determine the arc length of a circle in part a) if the central angle is ...

### math

An arc of a circle measures 30° if the radius of the circle is 5 cm what is the length of the arc

### geomerty

Find the arc legnth of Arc AB. Leave your answer in terms of pi. arc is 45 degrees radius is 5

### Calculus

Can someone explain to me how to do these? Given the following definite integral and n=4 answer the following questions. (Round your answers to six decimal places.) 1. Use the Trapezoidal Rule to approximate the definite integral. Answer: T4= 2. Use the Midpoint Rule to ...

### Precalculus

Instead of graphing the arc length against the height, Olivia decides to make graphs of Paul's x - and y - coordinates against time. Suppose paul walks 1 meter per second. How would Olivia's graph compare to her graph of arc length against the height?

### calc

Use L’Hopital’s rule to find the limit of this sequence (n^100)/(e^n) ...If you do L'Hop. Rule it would take forever, right? You would always get an (e^n) at the bottom and will have to use the L'Hop. rule 100 times to find the limit...100*n^99, 9900n^98, and etc. Is there...

### math

Problem #1 Find the arc length corresponding to the given angle (in degrees) on a circle of radius 3.3. An angle of 39 degrees has an arc length of_______ units. Problem #2 The diameter of the wheels on your car (including the tires) is 25 inches. You are going to drive 295 ...

### Geometry

What is the circumference of the circle if the radius is: 5x-My answer was 57(x)pi. What is the radius if the circumference is: 30x(pi)-My answer was 2x. (x + y)pi -My answer (x+y)/7. What is the length of the arc if: radius=3 degree of measurement of arc=6- My answer was pi/9...

### Geometry

in circle p below the lengths of the parallel chords are 20,16, and 12. Find measure of arc AB..... the chord with a length of 20 is the diameter. the chords with lengths 16 and 12 are below the diameter torwards the bottom of the circle. arc AB is the arc made up of the ...

### math

in circle p below the lengths of the parallel chords are 20,16, and 12. Find measure of arc AB..... the chord with a length of 20 is the diameter. the chords with lengths 16 and 12 are below the diameter torwards the bottom of the circle. arc AB is the arc made up of the ...