use the trapezoidal rule to approximate use n=6 and h=1

Q: How to use the trapezoidal rule to approximate distance travel?(with a t of 1min)

A: The trapezoidal rule is used to estimate the area under a curve. The expression for the trapezoidal…

Q: Use the error bound for the trapezoidal rule to find the smallest N such that the error in…

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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: Wanting to invite Juliet to his party, Romeo is throwing pebbles at her window with a launch angle…

A: Given:The angle of projection is 37 degree.The verticel distance from the window is 7.0 m. That is,…

Q: Find the length of the curve. 9) The spiral r = 202, 0 s 0 s 2^/3

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Q: Find the length of the curve y 2ln(x) from x 1 to x =4. %3D

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Q: Find the family of oblique trajectories that intersect the family of the paraboles y = Cx at angle e…

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Q: Use the Trapezoidal Rule with n=6 to approximate π∫0sin2xdx.

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Q: Find the lengthof the curve 」 9メ d S16 3_ %3D

A: Given curve is By fundamental theorem of calculus,

Q: the trapezoidal rule with

A: In this question, the concept of the Trapezoidal rule is applied. Trapezoidal rule One of the key…

Q: Find the equahion a Hhe tangent Lie FlX) =482- 5X +7 when R=1

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Q: the segment XY

A: What is the length of the segment XY

Q: 7. Find the length of the curve y = (* Vt3 -1 dt 1<t<4. 12.4

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Q: Find the length of the arc of the curve 9y? = 4x³ from the origin to the point (3, 2V3). %3D

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Q: Find &y:3mは や Rirst * = In in the the between the Curve area the line メ=H quadraut

A: We first sketch the region using a graphing calculator

Q: Show that T,+M, = S2n- Mn=S2n-

A: The given relation is  13Tn+23Mn=S2n Here, Tn is a trapezoidal approximation, Mn is the midpoint…

Q: Where should the point P be chosen on line segment AB so as to maximize the angle θ? (Assume a = 3…

A: Given : a=3, b=4  and c=7 Let BP=x . So , PA= 4-x

Q: Q2: A-The Trapezoidal rule for roodx 5 and Midpoint rule /)dx=4 What value does . Simpsons rule give…

A: 1st we will find relation between trapizoidal , mid point and simpson rule . Then will use this…

Q: For a χ2-curve with 19 degrees of freedom, find the χ2-value that has area a. 0.025 to its right. b.…

A: a) Degrees of freedom is 19 The chi-square value that has area 0.025 to its right is given below:…

Q: Show that the square of the length of the subtangent at any point on the curve by2=(x+a)3 (b is not…

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Q: ди ди + x - Əx %| ду 0 =

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Q: b) Find the shaded area of diagram that shecked by curve y =x² + 2x and the line y

A: The area between curves y=f(x) and y=g(x) on an interval [a, b] where f(x)≥g(x) on the interval is…

Q: From the result that you have obtained using the trapezoidal rule, it is worth it to buy the pills?…

A: Answer: No  Trapezoidal Rule: This is mostly used for evaluating the area under the curves and the…

Q: @ Consider the task of approximating 3x2 using the Compoute trapezoidal rule. How large should n and…

A: The error term in the composite trapezoidal rule is  h212b-af''ξ , where h=b-an Given f(x)=e-3x2…

Q: Evaluate the length of the curve x = 6 – Vy – 2 , 3< y<6

A: To find the length of following curve  x = 6 - sqrt( y - 6) 3 ≤ y ≤ 6

Q: Find the Felative Maximum vasve of Fx,x) = x*- y, Subuicct to the Construint X-Y=24.

A: The given function is as follows. fx,y=x2-7y2 the given constraint is as follows. x-y=24y=x-24 The…

Q: Use Simpson’s Rule with n  =6  to estimate the length of the curve x  =t - et -6&lt;t&lt;6

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Q: Apply the midpoint and trapezoid rules to the following intergal. Make a table showing the…

A: Consider the provided question,

Q: Find the mZR in trapezoid QRST where QT||RS below.

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Q: Find the length of the curve x = 3t2 + 10, y=2t3+ 11, O<t<1.

A: Given,         The length of the curve x=3t2+10 , y=2t3+11 , 0≤t≤1We know that,         The length…

Q: The length of the curve y = (2+ 2x )3/2 between x=0 and x=2 is O 41/3 O 45/2 O 43/2 O 47/3 49/6 ООО…

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Q: Find the length of the curve 3x = (y² + 2)³/2 from y = 2 to y = 3 %3D

A: Use length of curve formula:-  for a given curve x = f(y) from y=y1 to y=y2 length of curve,…

Q: Find the length of the curve x = (y3/33) + (11/4y) on 3≤y≤5.

A: Consider the given curve f(y) and find the derivative w.r.t y.

Q: Find the length of the the interval -2sxs-1. y = L, V3t² – 1 dt curve in

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Q: is Simpson Rule method or Trapezoidal Rule method is accuracy: 1- L1-e dx, , 8 = 10-9, N = 12 %3D

A: Use the following formulae, to evaluate the definite integral. Trapezoidal Rule:…

Q: Find the length of the curve. 3/2 y = (4 – x2/3 )2 %3D from x = 1 to x = 8 %3D %3D

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Q: Find the length of the curve. y = (4 - x2/3) 3/2 from x = 1 to x = 8 O 9 O 12 O 18 O 6

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Q: A straight-line fit y3 = e12), could be obtained with:

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Q: Show that the square of the length of subtangent at any point on the curve by =(x+a)°.(b÷0) varies…

A: We will prove it as following.

Q: B- Use the Trapezoidal rule with n=2 to estimate dx, to find the absolute relative true error |E,?

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Q: Find the length of the curve x = y²³² +1 on 21 44 чу 3≤7≤5. □ стуре fraction, or round to the an…

A: To find the length of the curve.

Q: Find the length of the curve. y 3x 3/2 from x = 0 to x = О 335 162 О 335 O 1 O335 243 559 3.

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Q: Determine whether each of the following statements is true or false, and explain why Simpson’s rule…

A: Given statement is  Simpson’s rule usually gives a better approximation than the trapezoidal rule.

Q: dx Calculate for n = 6, using trapezoidal rule. %3D -11+ x²

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Q: Evaluate the length of the curve y = 2 + Vx , 3 < y< 4

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Q: OFind the aquahon of the Hangent to the at point Lircle X2 +8Xt PCI,3)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the family of oblique trajectories that intersect the family of the paraboles y =cx at angle e…

A: The answer is given below:

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.