Do the following for the curve y = 4x2 + 3, 0 sxs2. a. Set up an integral for the length of the curve. b. Graph the curve to see what it looks like. c. Use your grapher's or computer's integral evaluator to find the curve's length numerically.

Q: Find the arclength of y 3x + 4 on 0 < x < 1

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Q: Find the arc length of the curve below on the given interval. for 3sys5 8y

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Q: To find the arclength of y = 2x2 – 1 from æ What is the value of the integral? O to x = 3,

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Q: Find the length of the following three-dimensional curve r(t) = (9+3t,3 – 7t, – 1+ 5t) , for 1sts6…

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Q: Set up an intergal of the Curve for the length 3T Y%3DZE* sin (x), O4 xE 2

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Q: What is the decimal value for the left-hand approximation of the area under the curve f(t)=t^2 from…

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Q: find the total length of the arc of the function 6xy = x^4 + 3, x=1 to 2.

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Q: Do the following for the curve y = -2x2 +4, -1sxs1. a. Set up an integral for the length of the…

A: The  given curve is y=-2x2+4 and -1≤x≤1

Q: Use the trapezoidal rule with n = 4 to approximate the value of each integral. Then find the exact…

A: Given, ∫01exex+4dx

Q: ): The integral that represents the length of the curve y = e, where 2 <<4, %3D is the following:…

A: Let given integral be I , then we get  I = π∫24e10xdx Now calculating the value of intergral  ⇒I =…

Q: Set up the integral to find the length of the curve f(x) = V1 – 2? for 1/v2 <x < 1.

A: Please see the answer below.

Q: Use the trapezoidal rule with n = 4 to approximate the value of each integral. Then find the exact…

A: Trapezoidal rule: ∫abf(x)dx=h2fx0+fxn+2fx1+fx2+...+fxn-1Whereh=b-an

Q: Find the surface area generated when the arc given by y = 2/15 – x; 0 <x < 15, is revolved about the…

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Q: Use the trapezoidal rule with n = 4 to approximate the value of each integral. Then find the exact…

A: Given- ∫13lnxxdx To Use- The appropriate trapezoidal rule to approximate the value of above integral…

Q: 3. Find the area under one arch of the curve y = sin(2r).

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Q: In the given question as follows, write and evaluate the definite integral that represents the area…

A: The area of the surface generated by revolving the function f(x) on the interval a≤x≤b about the…

Q: It is possible for the area between two curves to be negative. (T/F)

A: Following are the answers:

Q: d) Find the volume of the solid formed when the area bounded by the curve y = 3x – x? and the lines…

A: The volume of the solid generated by the revolution of the area bounded by the curve y=f(x), x-axis…

Q: Use the Midpoint Rule to approximate the integral (7x + la?)dæ with n=3.

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Q: Find the arc length of the graph of the function over the indicated interval. y = 3, [64, 125]

A: The arc length of curve f between the points a and b is given by s=∫ab1+f'x2dx.

Q: Find a formula for the area A(w) of the triangle bounded by the tangent line to the graph of y = In…

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Q: C. Set-up the definite integral to find the length of the arc of the graph of y = Vx-1 from x = 2 to…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Consider the following. x = ? - 2t, y - t*, 1sts4 Set up an integral that represents the length of…

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Q: Find the approximate area under the curve of f (x) =x+1 from x = 0 to x = 2, using 4 left-endpoint…

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Q: Find the area between the following curves: y=x^2-30 and y= 10 - 3x

A: To Find the area between the following curves: y=x^2-30 and y= 10 - 3x

Q: Find the area enclosed by the loop of the curve x = t3 – 3t, y = t² +t+ 1.

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

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Q: Find the area between the two curves in the following figure: r= 2a+asin 20 A B r= 2a+acos 20 For a…

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Q: Use the trapezoidal rule with n = 4 to approximate the value of each integral. Then find the exact…

A: Consider the provided integral, ∫02xe-x2dx Use the trapezoidal rule with n=4 to approximate the…

Q: Find the indicated trapezoid rule approximation to the following integral. 3

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Q: Consider a χ2-curve with df = 16. Obtain the χ2-value that has area a. 0.025 to its left. b. 0.975…

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Q: Find the arc length of the graph of the function over the indicated interval.

A: Given: The graph is drawn for the given equation of curve is shown below,

Q: What is the area of:  To the right of Z = 0.29 and to the left of Z = -1 Show the solution and…

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Q: Bm 11 2元

A: we need to find the integral of the function in the given limits to get the

Q: c. Set up the definite integral that gives the area of the region inside the circle but outside the…

A: c) The equation of the circle is, The equation of the loop is

Q: Find the area of the region lying between the r-axis and the curve In(3x) – 1 y = to the right of…

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Q: Set up an integral that represents the length of the curve. Then use your calculator to find the…

A: We have to use length of the curve formula.

Q: Find a formula for the area A(w) of the triangle bounded by the tangent line to the graph of y = ln…

A: Given  y=ln x11y=11(lnx) We need to find out the tangent line. First we find out the slope To find…

Q: Find the arc length of the graph of the following function over the interval [2, 3]. 1 f(x) = 4x2

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Q: The area enclosed between the curves p(x) = + *+ 3 and g(*) = O 16 is 18 49 O -49 O 9 36 O -16 O -36…

A: To find the area enclosed between the curves.

Q: Find the lengths of tangent, subtangent, normal and subnormal to y=4ax at ( at,2at).

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Q: The curve y = √x + 2 is revolved about the y-axis from x = 1 to x = 8, find the surfac area.

A: Here we have to find the surface area.

Q: The positive number c for which the curve yd- divides the area under the curve y 2209- from O to 47…

A: Given

Q: Find the area of the surface generated when the given curve is revolved about the given axis 1 = (e…

A: Given y=112e6x+e-6x  ,for -2≤x≤2  Area of surface of curve when revolved about x-axis…

Q: The arc length of the portion of the curve y=x² with 0<x<4 is попе s=7.7868 sz9.0734 s=10.1938

A: As we know that the expression for the arc length of the curve is:   S=∫abf'x2+1dx   Given:…

Q: The integral that represents the length of the curve 7(t) = (t, cos (2t312), sin (2t312)), where Ost…

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Q: Find the length of the curve r(t) = for 0 ≤ t ≤ 2π Enter the exact value.

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Q: Find the arc length of y 3x3/2 for 2 < x < 3.

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Q: b) r.e dr

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