5 For the curve x= V25 - y?, -sys5, complete parts (a) through (c). (a) Set up an integral for the length of the curve. Choose the correct answer below. - 5/2 - 5/2 S (25-7) OB. L- S s(25-) ay -1/2 1/2 O A. L= dy O B. L= 5/2 5/2 5/2 5/2 S (25-) 1/2 dy S 5(25-y) 112dy O C. L= D. L= -5/2 -5/2 (b) Graph the curve to see what it looks like. Choose the correct graph below. O A. B. OC. OD. [- 10, 10, 1] by [-6, 6, 1] [-1, 10, 1] by [- 6, 6, 1] [- 10, 1, 1] by [-6, 6, 1] [- 10, 10, 1] by [-1, 6, 1] (c) Use a grapher's or computer's integral evaluator to find the curve's length numerically.

Q: Consider the following. x = t2 – 8t, y = t5, 1sts 4 Set up an integral that represents the length of…

A:

Q: Evaluate the line integral -ydx + xdy along the curve C: y? = Зх from (3,3) to (0,0). NOTE: Enter…

A:

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

A:

Q: Number 11

A: To find the arc length of the curve

Q: Q3/Find the value of integral along the curve C joining the points (1, 1) and (2, 3) | (12z2 – 4iz)…

A: We have to find the value of integralalong the curve C joining thepoints (1, 1) and (2, 3).

Q: 02) find the udume of the solid obteineal yroleting the regican bounded by the g'ven curves about…

A: Given query is to find volume of the solid generated.

Q: Obtain an integral for the length of the curve y= cot x+csc x 0<xST/3.

A:

Q: Express the arc length of the curve y = x 4 between x = 2 and x = 6as an integral (but do not…

A: Given y=x4 between x=2 and x=6

Q: Find the length of the following three-dimensional .curve. r(t) = (8 + 4t,3-7t-5+20 for 1sts8 Set-up…

A: Please check step 2 for the solution.

Q: Evaluate the line integral [21r²yzds with respect to s along the 2 curve C : x = t₁ y = t², z =…

A:

Q: 1 8y² = x² – x* , 5x< curve segment is %D - rotated about the x-axis. Calculate the surface area of…

A:

Q: Consider the curve segments: $1: y = x from x =- to x = 2 and S2: y = Vxfrom 1 x =- to x = 4. 4. Set…

A:

Q: 7) (g) Set up and evaluate the definite integral for the area of the surface generated by revolving…

A: we use integration formula for area of surface rotating about x-axis..

Q: Consider the curve segments: 1 S1: y = x from x =to x = 4 and %3D 2 1 S2: y = Vi from x = - to x =…

A:

Q: take the fequan bunded by Hhe Seguen Curve fla).2+ Sinlx) the x atis 3R and X= Vz X:0 and fond the…

A: We will find out the required value.

Q: 10. Find the length of the curve defined by x = Vt, y = 1 – t from t = 0 to t = 5. %3D

A: To find: The length of the below curve from t = 0 to t = 5.

Q: 7. Find the length of the curve y (r + 4)/2 on the interval [0,3] 8. Set up, but do not evaluate, an…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Consider the curve segments: 1 $1: y = x from x = to x = 4 and 3 1 S2: y = Vxfrom x = -to x = 16.…

A:

Q: Consider the curve segments: S1: y = x from x = 1 to x = 2 and 1 S2: y = Vx from x =to x = 4. Set up…

A: Let's find.

Q: 3) Write the integral that equals the area of the surface formed by rotating the curve x = 1 + 1s y…

A: Write the integral that equals the surface area of the given curve rotating about x-axis

Q: 6. Set up integrals to compute the arc lengths of the curves y = r², y = 26, y = x¹⁰ defined for z…

A: Let's find arc length of given curves on interval [0,1].

Q: Evaluate the line integral - -ydx + xdy along the curve C : y? = 3x from (3, 3) to (0,0). NOTE:…

A:

Q: Evaluate the line integral ſ. 8y² dx + z² dy + (100 – x²) dz over the quarter of the circle of…

A: To evaluate the below line integral. ∫c8y2dx+z2dy+100−x2dz Here c is the quarter of a circle of…

Q: Set up the integral used to find the length of the curve y = V1-25 on the interval -<zs Select the…

A:

Q: 3) . (3x2 — Зуz+ 2xz)dx + (3у? - 3xz + z?)dy + (372 — Зху + х? + 2yz)dz Calculate the curvilinear…

A: Let's find.

Q: Consider the curve segments: 1 S1: y = x from x =to x = 4 and S2: y = Va from x = - to x = 16. Set…

A: Given :S1 : y=x2 from x =12 to x=4S2: y=x from x =12 to x=16

Q: Find the arc length of the curve below by integrating with respect to y. x= 9y-7, for -7sy36 .... d…

A:

Q: Consider the curve segments: 1 $1: y = x from x =to x = 3 and 4 S2: y = Vi from x = to x = 9. 16 Set…

A: Please refer the attached image for complete solution. THANK YOU.

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: Differential

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

A:

Q: 1 y = f(x) impending 8y² = x² – x*, V3 1 To Find: Surface area of the rotating body formed by…

A:

Q: Consider the following curve. y = x³, osxS 5 Set up an integral in terms of x that can be used to…

A: The surface area of revolution about the x-axis is: S=2π∫abf(x)1+f'(x)2dx If the function is,…

Q: Consider the section of curve y=12x2 from (2,2) to (4,8). None of the following need to be…

A: solution is given below..

Q: Use Simpson's Rule with n = 4 to estimate the arc length of the curve y = 0.5e-2x, 0 <x < 2. L = Só…

A: The curve, y=0.5e-2x, 0≤x≤2.

Q: Find the required x-value. For a x2-cu -curve with 27 degrees of freedom, find the X-value having…

A: Given data:Degree of freedom  =27 Area to the right  = 0.01

Q: 2 Sphere S to be the top half of sphere · x² + y² + 2² SS₁zdS /5 calculate the integral.

A: The given Surface is the top half of the surface x2+y2+z2=a2. To Evaluate: ∬zdS.

Q: Consider the curve segments: 1 S1: y = x from x =to x = 4 and 3 1 S2: y = Väfrom x =- to x = 16. Set…

A: We have to set up the integral that give the arc lengths of the curve segments. S1: y=x2 from x=13…

Q: Set up an integral for the length of the curve. y = Vi-x7, -sxs 1/4 4+ 49, 12 dx -1/4 4- 4x7 + 7x6…

A:

Q: Find the length of the following three-dimensional curve. r(t) = (6 + 3t,5 – 3t, - 1+2t), for 1sts6…

A: The length of the curve rt=ft,gt,ht in the interval a≤t≤b is given by L=∫abf't2+g't2+h't2dt. The…

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

A: y=16-x2,  -1≤x≤1 Differentiating with respect to x, we get…

Q: Consider the curve segments: S1: y = x² from x == to x = 3 and 52: y = √√x from x = to x = 9. Set up…

A:

Q: Express the length L of the curve r = sin3(0), 0 < e < as an integral but do not evaluate it. /7 de

A:

Q: The integral that represents the length of the curve 7(t) = (2/t, cos (2t3/2), sin (2t3/2)), where…

A: For any vector function r→(t)=f(t),g(t),h(t) ; a≤t≤b the length of the curve is given by…

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

A:

Q: Find the area of the surface generated by revolving the curve x = 4 1 from 8y 3 < y< 5 about the…

A: When a function is of the form x=g(y) and you are revolving around the x-axis, the interval is c≤y≤d…

Q: Set up an integral for the length of the curve. 5) y = x6, 0 s x s 1 A) V1 + 6x5 dx B) + 6x10 dx 1…

A: =&gt;ds=√(1+(dy/dx)^2 .dx

Q: Evaluate the line integral, where Cis the given curve. (x + 6y) dx + x² dy y (6, 1) C (7, 0)

A:

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

A: Consider the given integral as  2π∫-5581-x2dx

Q: Consider the curve segments: S1: y = x from x =- to x = 2 and S2: y = 1 Vxfrom x = to x = 4. Set up…

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