Approximate using the Trapezoidal rule with n = 4 subinte Round to 4 decimal places. sin r dr

Q: Use the trapezoidal rule with n = 4 to approximate cos(x) dx finel

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Q: Use these 3 methods to approximate , ex dx, n = 8 a. Trapezoid Rule b. Midpoint Rule c. Simpson's…

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Q: correct to three decimal places by Trapezoidal rule with 1 +x dx Evaluate I= h=0-5.

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Q: d the arc length of the curve y=(x^2)/2 - (lnx)/4 O

A: Explanation and solution is given below....

Q: Find the arc length of the portion of the curve y = 6x with 0 <x<1. Round your answer to four…

A: First I have written the formula for arclength of a curve on a closed interval, just use them for…

Q: Q! Salve! y? -y?+2y=Sin3× using D-opevtor Method

A: The given differential equation is: y'''-y''+2y=sin(3x)

Q: 2 cos(2x) dx, n = 4 J1

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Q: Tind y'at y = Sin h Cinx) %3D

A: Given that : y= sinh(lnx)  and we find y' or derivatives of y. We know that d(lnx)/dx = 1/x.   Here…

Q: Find the measure of arc RQT. U 44° T V R 25 S

A: We have to find the angle

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Q: Find the length of the equiangular spiral r = e° for 0 < 0 < . L =

A: Find the derivative r' with respect to θ. r=eθ for 0≤θ≤15π10a=0 , b=15π10r'=ddθeθ=eθ

Q: the detined b is Constant. Curiature a(t) =| 1 Cost, 1 sint, o of the curve d:laa)tR? where Find

A: We are given : α(t)=1rcos t,1rsin t,0 ⇒α'(t)=-1rsin t,1rcos t,0 Now, the Unit tangent Vector is :…

Q: 2 b.f V1 + x³ dx

A: The given integral is√(1+x3) limit from 1 to 2.

Q: A. Use Simpson's rule to evaluate -dx ,by taking n= 4. Inx B. Find the length of the curve y = x…

A: Answer

Q: Evaluate A = Se-* dx þy trapezoidal rule with n= 10. Work for 6 digit

A: Mathematically the derivative of a function is defined as f'(x)=limh→0f(x+h)-f(x)h. According to the…

Q: Find the arclength of r(t)= on the interval from t equals zero tot equals 2 times pi.

A: Given:  r(t)=&lt;5cot(t), 3 sin(t), 4 sin(t)&gt;To find:  Arc length form t=0 to t=2π

Q: A-Estimate J, 2e-3* dx using trapezoidal rule with four subinterval round your answer to one decimal…

A: Given is the integral  ∫-11 2e-3xdx The aim is evaluate the integral using trapezoidal rule.

Q: Use the trapezoidal rule withn= 20 subintervals to evaluate I = 1 = f; sin²(VRr) dx.

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Q: 2x dx by taking n = 4 1+ x Use trapezoidal Rule to evaluate

A: trapezoidal rule

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

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Q: cos(x) dx

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Q: Use the trapezium rule to find [2" dx taking ordinates with interval 0.25, in three decimal places.

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Q: Find an arc length parametrization of the line y = 8x. r:(s) = %3D

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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: Determine the moment of inertia of the shaded area about the x-axis. 2" 10" y Answer: Ix Parabolic =…

A: To determine the moment of inertia about the x axis.

Q: Use the Errors in the Trapezoidal Rule and Simpson's Rule cos(4nx) dx

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Q: Find the arc length of the curve y=(1/8)(x^2−8ln(x)) from x=3 to x=8

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Q: Use the trapezoidal rule with n = 20 subintervals to evaluate I L sin? (VRx) dx. %3D Note: R = 33

A: Solution:- We have to evaluate the integral I=∫15sin2Rxdx   where R=33 by trapezoidal rule with…

Q: Find the length of the curve y = ln (sec x), 0 <I<÷.

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Q: Find the point On the curve R(1) = 5sint i+5cost j+12t at adistance (267) units along the curve from…

A: R(t)= 5sint i + 5 cost j + 12t k V=dR/dt =5sint i + 5 cost j + 12t k V= |v|= [(5cost)2 + (-5sint)2 +…

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

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Q: Find the arc length of the functionf (x) from.x = 0 tox = 2. f (x) = sinx Round your answer to three…

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Q: Let Fes) = fcx-s)dx Find fes) for %3D fex).x^, a constant the funchion where n is

A: Definite integral of the function ∫abf(x)=F(b)-F(a) where F is antiderivative of f .

Q: Q 6/ Compute the moment of * the Inertia for the shaded area with respect to the Y- — axis? 2 ft --…

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Q: The lateral surface area S of a right circularcone is related to the base radius r and height h by…

A: Since, the lateral surface area S of a right circular cone is related to the base radius 'r' and…

Q: Calculate the arc length of y = G(18x)3/2 – (18x)2) over the interval [2, 8]. (Give your answer to…

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Q: Find the arc length of y = (x + 4)° + (x + 4) for 1 < x < 2. Give your answer to three decimal…

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Q: Determine the length of the arc x=ln y−(y^2)/8 for 1≤y≤2.

A: The solution are next step

Q: 2- Evaluate sin x dx using i. Trapezoidal rule ii. Simpson's rule iii. Simpson's rule, taking n = 6

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Q: Compare the Trapezoidal rule and Simpson's rule app 4 x sin x dx

A: Given: An integral ∫0π4xsinx dx. To find: Bound for the error using the formula for each rule and…

Q: Which one is the arc-length of the curve y =2/7x + 11, x E [7, 11]? 147x+280 dx 7x+ 11 14x2 +…

A: The curve y=27x+11 , x∈7,11

Q: Find the arc length of the portion of the curve y = 9x with 0 Sr<1. %3D Round your answer to four…

A: Given: y=9x20≤x≤1

Q: A figure on d coordinate plane is dilated using the rule (x, y).

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Q: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule,and (c) Simpson’s Rule n=10 with to approximate…

A: aGiven∫241lnxdx,n=10Using Trapezoidal…

Q: Use Simpson's rule with 2n = 10 subintervals to approximate the length of the curve. y = 2cosx,…

A: Given y(x)=2cosx y'(x)=-2sin(x) And Arc Length =∫-π2π21+(y'(x))2dx…

Q: y = Vx for 0<x < 3.

A: the given function is: y=x for 0≤x≤3 we have to determine the length of the curve.   as we know that…

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

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Q: Find an arc length parametrization of the line y = 8x + 7. r;(s) II

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