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

Q: find the length of the indicated portion of thecurve.r(t) = (et cos t)i + (et sin t)j + etk, -ln 4…

A: Given, r(t)=etcosti+etsintj+etk length L=∫-ln40r'(t)dt            .......(1) now derivate given…

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

A:

Q: If y=sin?t+ tant, x=- In(-cost) - e int, find the value of y' when t=-. 4. %3D 6/2 2-Vze 2 3/2 B 6.…

A: We have to find

Q: If y = sin?t+ tant, x=- In(- cost) – esinr, find the value of y when t=. A ... В 2+ Vze V? D

A: Solution:

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

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Q: Use the arc length formula to find the length of the linex = t, y = t, for 0 ≤ t ≤ 1.

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Q: Eliminate the paranoter t from the follewing S r(1) = 4+ sin t lu(t) 3- cost

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Q: Find the length of the curve y=Arc sin e^x when y= pi/6 to y=pi/2

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Q: Separate the variables and evaluate the DE: cosx/dx + 1/ydy = 0

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

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Q: Find the length of the Arc length= curve r(t) = (71, 5, √¹4²) for -4 ≤ t ≤ 4. 2

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Q: 2 b.f V1 + x³ dx

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

Q: [] 10. r(t) = (41, – cost, sint) 0, over

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Q: x = r², y = (0 <1 < 1)

A: For x=x(t), y=y(t), a≤t≤b Arc length formula is L=∫abdxdt2+dydt2 dt

Q: Given the equation x In(y) dz = z Arctan(3y). Assuming z as a function of variables x and y, find ar

A: To partially differentiate the function z with respect to x.

Q: ple to nnd (8) for the given finction. b. f(t) = e" sinh?t.

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Q: Find the sope to the tangent Iine of the equation ,-y +ear (0,3) Hirt perform impl cit…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use the trapezium rule, with 4 strips, to estimate ? e−x2 dx on [0, 2]. What is the maximum error?…

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

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Q: Find the length L of the arc formed by y = In(sec x), 0 <x< n/6. CT/6 L= V1 + (f'(x))² dx where…

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Q: Given x - ³²+2y — In(y + 1), find the arc length for 0 ≤ y ≤4 8

A: The arc length of the curve x=f(y) for a≤y≤b is given by ∫ab1+dxdy2 dy

Q: cos(x) dx

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Q: dr Given arcsin(z) = arccos(r²), solve for dz |

A: Given: arcsinz=arccosr2 To find: drdz This is a problem related to the derivative of the function.…

Q: Find the arc length of y = (x+ 6) + (x + 6)- for 1 < x < 2. (Give your answer to three decimal…

A:

Q: Find the arc length in the second quadrant of the curve x23 + y23 2/3 = 9 from x = - 27 to x = – 1.…

A:

Q: Evaluate Sxy dx dy, over the region in the first quadrant given between the following curves -1 and…

A: Step:-1 Given that x216+y29=1---(1) and x4+y3=1---(2) Using graph, we can see intersecting point of…

Q: Use the arc length formula to find the length of the curve y = 2-3x, -2 is less than or equal to x…

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Q: Determine which formula we are using when we are trying to find the arc length: dy 2 1+ dx ry=d dx \…

A: Given that

Q: 2. Find the arc length of x =t?, y = (6t +9)2 from t = 0 to t = 4.

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Q: Find the measure of the indicated arc. Y 42 W mXY

A: Theorem  The angle subtended by an arc of a circle at its center is twice the angle it subtends…

Q: Find the length of the arc of the curve x=e'sint , y=e'cost from t=0 to t= п b) d) 1

A: To find: The arc length of the curve: Given: The equations are x=et·cos t and y=et·cos t and the…

Q: If y = sin?t+ tant, x= - In(- cost) – e sinr, find the value of y' when t= A 1 1 2+ V2e v7 2 D 2-Vze…

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Q: Q4. Find the arc length for the function; r = 5º %3D

A: Arc length of given function is given by:

Q: Approximate 4 1 dx 1+ x Using the Trapezoidal rule and Simpson's rule with h=1. Find an error in…

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Q: The volume V = (4/3)πr3 of a sphericalballoon changes with the radius.At what rate (ft3/ft) does the…

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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: If y= sin?r+ tant, x= - In(- cost) – e inr, find the value of y' when 1= ". 2 2+ Vze VE 2-Vze 2

A: Given,y = sin2t + tantx = -ln(-cost) - esint

Q: When x* cos(x?) dx is evaluated using IBP, the value of v du is?

A: Evaluate ∫x3cosx2dx using IBP ( Integration by parts) then ∫vdu is.

Q: Find 4 for dy dz? y = cot(x) dy · sec x² « · cot x

A: Differentiate wrt x

Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis: a. y =…

A: Given :y=2xx=0 to x=4

Q: Find the given arc measure. Y (2a + 24)° m XZ =

A: Draw a schematic diagram of given figure, Given data, m ∠XYZ=  2a+24 °m ∠AYZ= a°

Q: v du is? x³ sin (x²) dx ¡s evaluated using IBP, the value of J When

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Q: Find dy Sor The Sullowing Suetien? ) y = Cot 2) y = Ln [cosx) %3D

A: Please refer to the image below.

Q: b) c) 200 A 10 in Length of the arc AB = %3D Len Area of a sector = %3D

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Q: While evaluating the approximate value of | 2² dx, using Trapezoidal rule, taking h = 0.5, the value…

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Q: Solve for X and determine the arc measure of GF

A: We would use the central angle (60) to find the length of arc and x.

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

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.