Thursday

February 26, 2015

February 26, 2015

Number of results: 49,468

**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
*October 15, 2010 by Morgan*

**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.
*July 31, 2014 by Chelsea*

**Calculus**

Use Simpson's Rule with n = 10 to estimate the arc length of the curve. y = tan x, 0 < x < π/9
*February 4, 2014 by Sandy*

**Calculus**

use the simpson's rule with n=10 to estimate arc length of y=x^(-1/3), for 1<=x<6
*July 31, 2014 by Rick*

**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 + ...
*June 13, 2007 by COFFEE*

**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
*March 14, 2011 by aj*

**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
*December 12, 2011 by kyle*

**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.
*June 23, 2011 by Sam*

**Mathematics**

Use Simpson’s rule to estimate ∫_0^2▒〖1/8 e〗^(x^2 ) dx with a maximum error of 0.1
*October 15, 2013 by Dust*

**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
*June 29, 2012 by rohan*

**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
*February 17, 2014 by Chelsea*

**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 dont know how to use it. Tn = ar^n-1
*September 21, 2011 by Anonymous*

**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 dont know how to use it. Tn = ar...
*September 21, 2011 by Anonymous*

**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)
*December 8, 2007 by Chris*

**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!
*September 13, 2014 by Anon*

**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 ...
*October 24, 2006 by 413*

**calculus**

Use the trapezoidal rule and simpson's rule to approximate the value of the definite integral âˆ«2,1 ln xdx; n =4
*March 6, 2012 by Anonymous*

**calculus 2**

use the simpsons rule with n=10, arc length y=^3√x, for 1<=x<6
*July 26, 2014 by sarah*

**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
*July 1, 2014 by sara*

**calculus 2**

use the simpsons rule with n=10, arc length y=^3sqaure root x, for 1<=x<6
*July 29, 2014 by Ryan*

**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?
*October 31, 2014 by Taylor*

**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
*December 11, 2012 by Savanah*

**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 ...
*October 31, 2011 by Adam*

**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 ...
*September 29, 2011 by Patrick*

**calc 3**

find the arc length of the curve r(t)= <6sqrt(2),e^t,e^(-6t)>
*September 24, 2010 by ashley*

**Math 61**

Find the arc length of the curve y^3=8x^2 fr0m x=1 to x=8.
*June 23, 2013 by James*

**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.
*November 19, 2009 by Dana*

**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.
*November 19, 2009 by Dana*

**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.)
*November 14, 2011 by Anonymous*

**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 ...
*March 20, 2007 by Emily*

**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(...
*February 28, 2013 by Angie *

**MATH--Please help!!**

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...
*December 10, 2007 by JDS*

**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
*September 6, 2010 by Pegs*

**Calculus**

For the curve r = 2 sin 3(theta): Find the arc length of one petal
*April 16, 2013 by Lizzy*

**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 ...
*February 26, 2011 by Lena*

**CALCULUS-plz help!**

For the curve r = 2 sin 3(theta): Find the arc length of one petal
*April 16, 2013 by Sara*

**CALCULUS-plz help!**

For the curve r = 2 sin 3(theta): Find the arc length of one petal
*April 16, 2013 by Sara*

**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 ...
*June 14, 2010 by Temperance*

**Calculus**

Find the definite integral that represents the arc length of the curve y=sqrt(x) over the interval [0, 3]
*May 26, 2011 by Hannah*

**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
*April 16, 2013 by Liz*

**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
*April 16, 2013 by Liz*

**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].
*December 19, 2012 by Liz*

**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...
*February 11, 2013 by bs*

**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.
*April 3, 2012 by MT*

**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
*March 12, 2012 by Mishaka*

**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
*May 18, 2012 by Sue*

**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
*March 3, 2012 by wei_g*

**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
*March 4, 2012 by maga*

**CALCULUS 2!!! PLEASE HELP!!**

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...
*October 19, 2006 by Krystal*

**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.
*February 16, 2014 by Barbara*

**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.
*February 23, 2013 by urvashi*

**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
*March 12, 2012 by Mishaka*

**geometry**

arc AB is 55 degrees. the radius of the circle is 4 inches. what is the length of arc AB?
*December 8, 2010 by Anonymous*

**geomtry **

find the arc length of the minor arc withe degree of 120 and a radius of 8
*April 18, 2013 by justin *

**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°.
*January 19, 2014 by Kathy*

**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?
*February 28, 2010 by Megan*

**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 ...
*October 14, 2011 by Beth*

**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?
*April 28, 2010 by Jayme*

**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?
*July 12, 2010 by Superman*

**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?
*April 4, 2011 by Anonymous*

**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?
*March 6, 2011 by jake*

**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?
*May 6, 2011 by Dylan*

**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 ...
*August 24, 2008 by Arc Length*

**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 ...
*October 22, 2006 by 413*

**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
*May 20, 2012 by Bob*

**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
*May 20, 2012 by Maria*

**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 ...
*August 16, 2010 by harmony*

**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...
*February 18, 2009 by Anonymous*

**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.
*May 9, 2014 by Judy*

**;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.
*June 9, 2010 by Anonymous*

**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 ...
*February 6, 2011 by mike*

**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...
*May 5, 2013 by Dylan James*

**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 ...
*March 9, 2012 by john*

**Math**

Find Curvature, find the curvature k of the curve, where s is the arc length parameter. r(s)=(3+s)i+j
*February 8, 2014 by jay*

**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 ...
*November 16, 2008 by elley*

**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?
*September 17, 2014 by Irene Wu*

**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?
*September 16, 2014 by Irene Wu*

**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?
*June 8, 2013 by Anonymous*

**Calculus**

What do they mean about this question below::: Find the length of the portion of the parabola bounding R Would I have to use the arc length formula or some other formula in order to solve this problem
*November 30, 2012 by Anonymous*

**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?
*October 22, 2014 by vik*

**computer program**

where can i find a computer code for Simpson's 1/3 Rule using c++? please help. thank you.
*October 21, 2010 by Raimu*

**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?
*May 16, 2012 by Sholanda*

**I would like to understand my calc homework:/**

Consider the differential equation given by dy/dx=(xy)/(2) A) sketch a slope field (I already did this) B) let f be the function that satisfies the given fifferential equation for the tangent line to the curve y=f(x) through the point (1,1). Then use your tangent line equation...
*March 27, 2013 by Amber*

**Macroeconomics**

Economist John Taylor has suggested that the Fed use the following rule for choosing its target for the federal funds interest rate (r): r= 2% + ð + 1/2 (y-y*) / y* + 1/2 (ð - ð*), Where ð is the average of the inflation rate over the past year, y is real GDP as recently ...
*March 21, 2011 by Tamatha*

**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, ...
*June 4, 2011 by Emma*

**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.
*February 24, 2015 by kudu*

**Python programming**

A standard problem in mathematics is to measure the area under a curve (or to integrate the function defining the curve). A simple way to do this is to approximate the area with a series of rectangles (whose areas are easy to compute). For example, we could split the range ...
*January 13, 2013 by Anonymous*

**Calculus Help Please Urgent!!!**

a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2 using three rectangles and right endpoints. R3= ??? Then improve your estimate by using six rectangles. R6= ??? Sketch the curve and the approximating rectangles for R3 and R6? b) Repeat part (a) using left ...
*April 26, 2014 by Anonymous*

**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?
*September 11, 2013 by MS*

**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?
*September 12, 2013 by MS*

**Calculus - Derivatives**

The approximation to a definite integral using n=10 is 2.346; the exact value is 4.0. If the approximation was found using each of the following rules, use the same rule to estimate the integral with n=30. A) Left Rule B) Trapezoid Rule The section deals with approximation ...
*September 29, 2008 by UMich1344*

**Calculus/Derivatives**

In addition, can you walk me through how to get the derivatives for these 2 statements, too? a) y = x^5/3 - 5x^2/3 b) y = (the cubed root of the quantity) [(x^2 - 1)^2] Hi there. I need to find the first derivative of this statement. y=x(x+2)^3 I tried the chain rule, but I ...
*March 14, 2007 by Amy*

**statistics**

mean=20, standard deviation =6.Use the emperical rule to estimate the probabilty that a randomly chosen patient had to wait more than 26 min. Of 2000 patients, estimate the # of patient having to wait more than 26 mins
*November 12, 2012 by Anonymous*

**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
*December 1, 2011 by Anonymous*

**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 ...
*November 19, 2008 by Bob*

**calculus**

Consider a plane curve which is described in polar coordinates (r, @) by r = g(@) for @ for all [a,b] (@ representing theta). Starting from the known expression for the length of a plane curve in Cartesian coordinates and the equation x = rcos@, y = rsin@, obtain an integral ...
*September 21, 2008 by mark*

**Calculus**

Consider a plane curve which is described in polar coordinates (r, @) by r = g(@) for @ for all [a,b] (@ representing theta). Starting from the known expression for the length of a plane curve in Cartesian coordinates and the equation x = rcos@, y = rsin@, obtain an integral ...
*September 22, 2008 by mark*

**calculus**

Consider a plane curve which is described in polar coordinates (r, @) by r = g(@) for @ for all [a,b] (@ representing theta). Starting from the known expression for the length of a plane curve in Cartesian coordinates and the equation x = rcos@, y = rsin@, obtain an integral ...
*September 22, 2008 by mark*

**physics**

A car is rounding a curve that is the arc of a circle with a radius of r . If the car has a constant speed of 10 m/s, and its acceleration is 5 m/s 2 , what is the radius of the curve?
*November 6, 2012 by mbresa*

**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 ...
*January 1, 2011 by Emma*

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