4. The curve y = V4 - x for -1, 1], is an arc of the circle x2 + y2 %3D = 4. a) Find the arc length for x:[-1, 1]. b) Find the area of the surface obtained by rotating the arc about the X-axis for x:[-1, 1]. Exact answer:

Q: 22 Calculate 8 - z dz, where C is the circle of radius 7, centre 0, negatively oriented.

A:

Q: Find an arc length parametrization of the line y = 2x – 6 %3D |

A:

Q: Find the arc length of y³ + y = x² + 6x on the interval [-5, –1].

A: Since the given graph is in implicit form (we can not find the explicit value of y in terms of…

Q: calculate the arc length over the given interval. y = 4x − 2, [−2, 2]

A:

Q: 8. Find the arc length of y' + y = x² + 6x on the interval [-5, – 1). 9. Using the same arc in…

A: Arc length is the distance between two points along a section of a curve. Formula for finding arc…

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

A:

Q: Find the length of arc from (0,0) to (4,4) of the curve x = 2/y.

A: given curve     x=2y            we have to   find the arch length fro (0,0)  to  (4,4)now  x=2y ⇒…

Q: The arc length function of the curve y = 2 In x taking the point Po(1, –) 4 as a starting point is

A: see 2nd step

Q: Find the arc length of the graph by partitioning the y-axis. (x+9)2=4y3 , from y=0 to y=1 ; x  ≥ −9

A: GIVEN THAT (x+9)2=4y3  WE HAVE TO FIND ARC LENGTH

Q: Suppose the semicircle shown to the right is revolved about the x-axis to generate a sphere. Let AB…

A:

Q: calculate the arc length over the given interval y = 3x + 1, [0, 3]

A: To find the arc length of the below function in the interval [0, 3]

Q: 4. By revolving the semicircle x = cost, y = sint (0 <t< ) about the x-axis, show that the surface…

A: Equation of semicircle with radius r is x=rcost, y=rsint We know the formula for surface area for…

Q: (a) Set up an integral for the length of the arc of the hyperbola xy = 1 from the point (1,1)  to…

A: Part (a)

Q: Approximate the arc length of the curve y = x over the interval [1, 2] using the trapezoidal rule…

A: Introduction: The length of arc of a given curve over a given interval is another important…

Q: 2. Find the length of arc of the curve x = + from the point where y = 1 to the point where y = 2. yª…

A: Explanation of the answer is as follows

Q: 6- Find the avea of the Surface of revolution genetaled by revalving the x-axis the arc abaut from…

A: To find - Find the area of the surface of revolution generated by revolving about the x-axis the arc…

Q: Find the Arc Length of y= 3ln(x) - ((x2)/24)) on [1,6]

A:

Q: Find the arc length (8) of the curve 7 (t) = ( – 2e*, – 4e*, – 2e*) fo %3D c - - -

A: Explanation and solutions is given below....

Q: 1. Find the exact arc length of the curve 24.xy = y* + 48 %3D from y = 2 to Y = 4.

A: To find the exact arc length of the curve,24xy =y4+48from y=2 to y=4.

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

A:

Q: Use either a computer algebra system or a table ofintegrals to find the exact length of the arc of…

A: Given curve is x=ln1-y2

Q: Ex: Fmd the lengthoftre arc af the Circle with P.R. ret)= [acest from Co,0 to asiut] o Ofa),- %3D

A:

Q: Find the arc length of y³ + y = x² + 6x on the interval [-5,–1].

A: The arc length, L of a function, x=f(y) in the interval [a,b] is calculated using the formula below.…

Q: Find the arc length of the graph of y = √(16 − x2) over the interval [0, 4].

A: Given: y=16-x2 interval [0, 4]

Q: Find the arc length of the curve on the interval [0, 2pi]. Hypocycloid perimeter: x=acos3(b),…

A:

Q: Find the arc length of curve represented by X=cost+tsint   , y=sint-tcost               (0≤t≤π)

A: We know that: if parametric equation of a curve x=f(t) and y=g(t) is bounded by the region a≤t≤b,…

Q: 3 The arc length of the portion of the curve y=x 2 with 0<x<4 is

A: I have append the formula used to find arc length in the solution part.

Q: Find the arc length of the curve y = (e²+ e) from x = 0 to z = 2 Length:

A: Given  its derivative

Q: Use Simpson’s Rule with n = 10 to approximate the length of arc of r(t) = t i + t2j + t3k from the…

A: Given,

Q: Find the area of the surface generated when the given arc is revolved about the y-axis ㄷ y = 4 - x²…

A: We have to find area of the surface .

Q: Consider the part of the helix ~x(t) = (2 cost, 2 sin t, 3t) that is bounded by t = 0 and t = 2π.…

A: We have to find the arc length of above helix

Q: Find the arc length of y=((x+4)/2)4+1/2(x+4)2 over [1,4]

A: Given data:     The given expression is: y=((x+4)/2)4+1/2(x+4)2. The given limits is: [a, b]=[1, 4].…

Q: ind the length of arc of the curve 6xy = x⁴ + 3, from the point where x = 1 to the point where x =…

A: Here given equation as 6xy=x4+3ory=16x3+3x Differentiate with respect to x…

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: 2 4. Find the length of arc of the curve x3 + y = 1 in the first quadrant from the point where x =…

A: Let's find arc length of given curve in first quadrant.

Q: Find the arc length of the curve x = Length = -2y³/2 from y = 0 to y = 10.

A: See the details solution in below

Q: Calculate the arc length of y = G(18x)3/2 – (18x)2) over the interval [2, 8]. (Give your answer to…

A:

Q: Given x = y² + y + 1 from 0 ≤ y ≤ 2

A: To find the arclength of the following curve

Q: Find the mibimal distance between the foint Cl,4) to the linz Yeメtl. dっしくーメュ+(-

A:

Q: Find the arc length of y = +(x + 2)³ + (x + 2)-1 for 1 < x < 2. (Give your answer to three decimal…

A:

Q: O Find the length of arc of the curve y = from (0,0) to (4, ). %3D

A:

Q: 4. Find the area of the surface generated by revolving the given curve about the -axis. y = 7x,0 <…

A:

Q: Find the length of arc of the curve y = - In x from x = 3 to x = 9. 9

A: f(x)=x29-lnx on the interval x=3 to x=9

Q: ) + () 2 If C is the part of the circle = 1 in the first quadrant, find the following line integral…

A:

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

A:

Q: 4. Use integration to show that the arc length of the circle from (-V3,1) to (V3,1) with the…

A:

Q: 1 Find the arc length of the curve y = + 4 from (0, 4) to (1, ).

A:

Q: Find the arc length of y^3+y=x^2+6x on the interval [-5,-1]. Using the same arc, determine the…

A:

Q: The arc length of the portion of the curve y = e* with 3 <x<5 is None sz15.54 sz67937.06 sz128.35

A:

Statements and Logic

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