Use the trapezoidal rule to find A- using the indicated value of n. dx n=8 Round the final answer to three decimal places as needed Round all intermediate values to three decimal places as needed.)

Q: Given the double intergral 3 S.³ To √²+y² Evaluate the above dy dx intergral using cartesian…

A: some of the formula of integration . ∫1x2+a2dx=ln|x+x2+a2|+C∫xndx=xn+1n+1+C

Q: Use the arc length formula to show that the length of a linear function f(x) = mx + c on the…

A: Let f(x) be a function over the interval (a,b), Then the arc length of f(x) from the point (a,f(a))…

Q: Using the Trapezoidal Rule with n=8, approximate the value of the definite integral 0.5 Cs X dx. 0.1…

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Q: X = c = Jy- y de 4 <ys 9.

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Q: indicated substitution to evaluate the integral. (7x)cot (7x)dx, u=7x E (7x)cot (7x)dx= %3D

A: Given :           ∫42csc7xcot7xdx

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the + 7) dx, n = 4 5 Exact…

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Q: Find the area enclosed by the curve p? = 3 cos(50) %3D

A: Plot the graph of the given polar equation

Q: The value of e" dx from 0.2 to 2.2 by using multiple segment trapezoidal rule, n-2 is O 7.8423 O…

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Q: Find the arclength of the curve in the given interval. x = 3 cos? t , y= 3 cost sin t , 0 s<t <t

A: solution is written in below steps.

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: d'y Find for dr? y = cot(x) dy %3D dx?

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Q: The folium of Descartes is defined impliciHy as given nee here a) determine dy dx

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Q: (a) Use the trapezoidal rule to approximate the integral. | (4x° + 4) dx = - 1 (Round the final…

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Q: Use Simpson's rule with interval h = 1 to determine the approximate value of ở V(I + x³ )dx. Give…

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Q: 2 b.f V1 + x³ dx

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

Q: Find the inde finte antegral Px3% +? dx ,3/2

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Q: Find all finchons Man sanisty he Mowing inihal problim dy %3D dy dx =4 ex ーメ how mam solwhin does t…

A: Given,           dydx=y2e-x    and y(0) = 12

Q: The integral 4x2 + 4y? + 422 dV V = MA, where R is the solid hemisphere with x? + y? + 22 0 Find the…

A: Find your answer below

Q: Find the length of the spiral c(t) = (t cos t, t sin t) for 0 <t < 2n to three decimal places. Hint:…

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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: 1 dx becomes: Using a trigonometric substitution, the integral x* V1-x? Select one: Jcsc* e de Sante…

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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: a. Use integrals to show that the circumference of the circle x2 + y? a? is 2na. %3D b. Find the…

A: Solving question (a),

Q: 5e*dx V9-12e3* +4e6x

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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: Use the Trapezium Rule with four strips to estimate the value of: A xln(x+1)dx. Note that f(0) = 0°…

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Q: Find an interval of t-values such that c(t) = (cost,sin t) tracesthe lower half of the unit circle.

A: Consider the given point as ct=cost,sint

Q: Find the arc length of that portion of the circular helix x = cos t, y = sint, z = t from t = 0to t…

A: Find the arc length of that portion of the circular helix x = cos t, y = sint, z = t from t = 0to t…

Q: O with n=4, 20timaste S°(ax-)dx using the Trapezeidal -3 Approxi a i mation and Simpsen's Ru le .…

A: Answer

Q: While evaluating the approximate value of 20 x² dx, using Trapezoidal rule, taking 3 h = 0.5, the…

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Q: Draw the curve r2 = 2a? $20, a > 0 and calculate the area enclosed by this curve COS

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: 3 dx 1. Use the Simpson's and Trapezoidal rule with n = 4 to estimate . Then compare the two…

A: Given: I=∫13dxx. n=4 By trapezoidal rule, ∫abfxdx  can be evaluated as,…

Q: 12 1 dx by using trapezoidal rule, taking n = 4, correct to four 1+2x? Evaluate decimal places…

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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: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: Given:  the integral is ∫0π22cos2xdx. To Find: It is required to approximate the integral using the…

Q: Use Simpson's to approximate the integral 2+x* dx, n=4.

A: The integral is ∫012+x4 dx, n=4

Q: Find the length and the cuur vature of the Smooth eurve rCt) = (snt)i t(5 cost); + (sint)K from o to…

A: Given curve is rt→=sinti+2costj+sintk and given t from 0 to 2π We have to find the length and…

Q: : Using the Convoluation Integral, find the invers Laplace for this equation. F(s) = (S? + a?)(S? +…

A: Use the properties of convolution and some basic inverse Laplace transform and simplify.

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: The arc length along the parabola y = x from (1,1) to (2,4) is given by which of the following…

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Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: Recall:  L=∫abr(θ)2+r'(θ)2dθ We have, r=7sinθ+2cosθ, a=0, b=π

Q: Which integral gives the arc length of the curve y = e2x on the interval 2 < x < 4? a)o (1+2e**)dx…

A: Given,  The curve  y = e2x on the interval 2≤x≤4  We have to find the integral which gives the arc…

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 interval h = 1 to determine the approximate value of V(1 + x³ )dx. Give…

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Q: E(X is called the second moment about orgin ylgn İhi

A: In this question we have to verify about the second moment about origin in the concept of mean and…

Q: By revolving the semicircle x = r cos t, y = r sin t. (0 ≤ t ≤ π) about the x-axis, show that the…

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Q: Evaluate | dx approximately, using (a) the trapezodial rule, and (b) Simpson's rule, where the…

A: We need to evaluate ∫01dx1+x2 , here a=0 , b=1 , f(x) = 11+x2 We need to divide the interval in 4…