# Use Simpson&#39;s Rule with n = 10 to estimate the arc length of the curve

62,068 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.

### 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

### Calculus

use the simpson's rule with n=10 to estimate 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 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

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

### 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.

### 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

### 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 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

### 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

### 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...

### 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)

### 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 ...

### 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 ...

### calculus

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

### 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 2

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

### calculus 2

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

### 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?

### Math

The measurements of a meadow were taken at 30 ft intervals. Use Simpson's Rule to estimate the area of the meadow with the following measurements: 76 ft, 118 ft, 130 ft, 143 ft, 139 ft, 136 ft, 137 ft, 139 ft, 130 ft, 122 ft, 60 ft

### 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 ...

### 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

### 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 ...

### calculus

Estimate the area of the region under the curve y = ln(x) for 1 ≤ x ≤ 4. Use the left hand rule with n = 50. Give your answer to four decimal places.

### Calculus

Estimate the area of the region under the curve y = ln(x) for 1 ≤ x ≤ 4. Use the left hand rule with n = 50. Give your answer to four decimal places.

### calculus

Estimate the area of the region under the curve y = ln(x) for 1 ≤ x ≤ 5. Use the left-hand rule with n = 50. (Round your answer to four decimal places.)

### calc 3

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

### Math 61

Find the arc length of the curve y^3=8x^2 fr0m x=1 to x=8.

### Calculus

Consider the curve below. x = (cos(t))^2 y = cos(t) 0 ≤ t ≤ 6π (a) Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. (b) What is the length of the curve? I have no idea on how to evaluate this integral. I ...

### Calculus

I know how to do this problem, but I'm stuck at the arc length differential. Set up an integral for the arc length of the curve. (Do not evaluate the integral) x=y^2ln(y), 1<y<2 dx/dy = 2yln(y) + y ds= sqrt (1 + (2yln(y)+y)^2 so far I have sqrt (1 + 4y^2ln(y) + 2[2y^2ln(...

### 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 ...

### math

find the arc length of the curve y = lnx for x = 1 to x = square root of 8

I'm desperate! Find the point where the curve r(t)=(12sint)i - 12(cost)j+ 5tk 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. Thanks for any advice...

### calculus

Can someone please help me find the arc length of this curve? x = 3y^(4/3) - 3/32y^(2/3) y is between -64 and 64

### Calculus

For the curve r = 2 sin 3(theta): Find the arc length of one petal

### 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 ...

### CALCULUS-plz help!

For the curve r = 2 sin 3(theta): Find the arc length of one petal

### CALCULUS-plz help!

For the curve r = 2 sin 3(theta): Find the arc length of one petal

### 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?

### Calculus

Internal 1/sqrt(1+x^3) from [0,2] and n=10 (a) Use the Trapezoidal Rule to approximate the given integral with the specified value of n. (b) Use the Midpoint Rule to approximate the given integral with the specified value of n. (c) Use Simpson's Rule to approximate the given ...

### Calculus

Find the definite integral that represents the arc length of the curve y=sqrt(x) over the interval [0, 3]

### Calculus

Find the arc length of the curve described by the parametric equation over the given interval: x=t^(2) + 1 y=2t - 3 --> 0<t<1

### Calculus

Find the arc length of the curve described by the parametric equation over the given interval: x=t^(2) + 1 y=2t - 3 0<t<1

### 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 ...

### 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].

### 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...

### 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

use the trapezoidal and simpson's rule to approximate the value of the definite integral ∫2,1 ln xdx; n=4 compare your result with the exact value of the integral

### calculus

use the trapezoidal and simpson's rule to approximate the value of the definite integral ∫2,1 ln xdx; n=4 compare your result with the exact value of the integral

### 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

### calculus

find the exact arc length of the curve: y=0.5(e^x + e^-x) for 0 is less than or equal to x and x is less than or equals to ln2.

I'm having trouble with this question on arc length: y=lnx, (squareroot)3/3 greater than or equal to x less than or equal to 1 It sounds as if you want the length of the y = ln x curve from x = sqrt(3)/3 (0.57735..) to 1. The formula for the arc length of a line y(x) is Length...

### 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

### Astronomy

How large should Venus appear in arc seconds? Use the small angle formula and the diameter of Venus. Note that an arc second is a 1/60th of an arc minute, and an arc minute is a 1/60th of a degree.

### 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

### math

The demand for the video game is modeled by the logistic curve, where q(t) is the total number of units sold t months after its introduction. q(t)= 10000/(1+0.5 e**(-0.4t)) (a) Use technology to estimate q'(4) to the nearest integer. mark units per month (b) Assume that 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?

### calculus

Find the length of the curve given by the equation y= intergral from -pi to x of sqrt(cos(t)) dt for x between -pi and pi. I think I know to do this- at least part of it. I am using the fundamental theorem of calculus and the arc length formula, but I don't know how to find ...

### 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?

### Integration

What is integral [0 to 2] e^-x^2 dx You are talking about the error function. That integral cannot be expressed in a closed form in terms of other simple functions. The answer I get, taken from an error function table, is 0.99532 * [sqrt(pi)]/2 =0.88208... the whole question ...

### 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.

### math

6. Find the z-score related to the raw score, mean, and standard deviation as follows. Assume a normal probability distribution. Raw Score50, 45, and 4.ìó=== 7. What is the Z score of a raw score 1.6 standard deviations below the mean? (See Page 540), 8. What percent of ...

### calculus

Find the arc length of the given function/curve on the given interval. y=ln(x-sqrt(x^(2)-1)); x ϵ [1, sqrt(2)]

### calculus

Find the arc length of the given function/curve on the given interval. y=ln(x-sqrt(x^(2)-1)); x ϵ [1, sqrt(2)]

### Maths

1. Sketch the curves y=e^x and y=e^-2x, using the same axes. The line y=4 intersects the first curve at A and the second curve at B. Calculate the length AB to two decimal places. 2. Find the coordinates of the turning point on the curve y=2e^3x+8e^-3x and determine the nature...

What is the length of the radius of a circle with a central angle of 255° that intercepts an arc with length 52 m? Use π=3.14 in your calculation. how would i solve this? please help!

### probalitity

Let Θ1 and Θ2 be some unobserved Bernoulli random variables and let X be an observation. Conditional on X=x, the posterior joint PMF of Θ1 and Θ2 is given by pΘ1,Θ2∣X(θ1,θ2∣x)= 0.26, if θ1=0,θ2=0, 0.26, if θ1=0,θ2=1, 0.21, if θ1=1,θ2=0, 0.27, if θ1=1,θ2=1, ...

### 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.

### calculus

Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle. R = (x, y)|8 ≤ x ≤ 14, 4 ≤ y ≤ 8 Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. (b) Use ...

### ;lllllll,

If segment AC is the diameter of the circle and AC = 21 cm, what is the length of arc AB? Use 3.14 for pi.

### 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

Find Curvature, find the curvature k of the curve, where s is the arc length parameter. r(s)=(3+s)i+j

### 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 ...

### 12th Calculus

a cone of height h and radius r is constructed from a flat, circular disk of radius 4 inches. by removing a sector AOC of arc length x inches. and then connecting the edges OA and OC. what are length x will produce the ocne of maximum volume, and what is that volume? 1. show ...

### 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?