13.9. Let be the arc of the circle 2 = 2 from z = 2 to z = 2i that lies in the first quadrant. Without evaluating the integral, show that dz 22 3

Q: Evaluate the integral. /2 15 cos Jo s x dx

A: Given:          ∫0π215cos5x dx        =15∫0π2cos5x dx         =15∫0π2cos2x2cosx dx…

Q: f (x) = V4 – a² on [-2, 2]

A: We have to compute the arc length of the graph of the given function f(x)=4-x2 on the interval -2,2.…

Q: 3. (a) Evaluate the indefinite integral / 2/arctan(3r dr. 1+922

A:

Q: f (x) = x3/2 on [0, 1]

A: Given that a function f(x) = x3/2 and we find arc length in interval [0,1]. We know that arc length…

Q: Find the arc length of y = 4x – 5 on 0 < x < 1.

A:

Q: Find the exact arc length of the curve over the stated interval. y=x²³ from x=1 to x=8

A: Please see the below picture for detailed solution.

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

A:

Q: 2 ind the arc length for f(x) = 6-2 x² over the interval [0, 2].

A:

Q: a)Find the arc length of f(x)= In(1+x°), Osx<5

A:

Q: Find the arc length of the following curves on the given interval. 1 for 1 8y2" X = + 4 y . 2

A:

Q: Evaluate the integral (2cos0+5cos 30)* sin0 d® using Simpson's 3/8 method and dividing the 4. whole…

A:

Q: Find the arclength of y = 2x3/2 on the interval x is greater than or equal to 1 and less than or…

A: Equation of given curve is y=2x32 Differentiate with respect to x. dydx=232x32-1=3x

Q: From Rogawski ET 2e section 8.1, exercise 9. Calculate the arc length of y = - x - In x over the…

A:

Q: (;)* + (4)° = 1 in the first quadrant, find the following line integral with respect to arc length.…

A: Find the line integral ∫C5x-3y ds where the curve C is the part of the equation x42+y42=1 in the…

Q: a) Show that the length of the arc of the curve y=f(x) where S(x) = Insecx 0SxS is 4 In(1+ v2)

A: We need to show that the length of the arc of the curve y=f(x) where f(x)=ln(sec(x)), 0≤x≤π4. The…

Q: 2 Find the arc length for y = 3x3 on [1, 8]

A:

Q: Find the exact arc length of the curve over the stated interval. Y = 8x2/3, from x = 1 to x = 8

A: According to question,Given curve,y = 8x23,from x = 1 to x =8

Q: 2 1 To evaluate the improper integral . v3+ 125 will tend to infinity). What is the minimum value of…

A:

Q: 5) Determine the area of the surface obtained by rotating the arc y = Vx –1 around the x- axis from…

A:

Q: please show all steps

A:

Q: From Rogawski ET 2e section 8.1, exercise 7. 3 Calculate the arc length of y = x 7 over the interva…

A: use arc length formula for finding it.

Q: Find the exact arc length of the curve over the stated interval. y = 7x2/3, from x = 1 to x = 8

A:

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 f(x) = (-) (x² + 2)ž on the interval [0,9)

A:

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: Which integral 12 225-x¹+1 2 S√√2-√√225x4+1 dx So 9 is the arclength of the curve y = 5 x³ on the…

A:

Q: 5. Find the length of the arc for x = 3 - Jy from y = 0 to y = 4

A:

Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8]

A: Given that  function  y=fx=lnx,1,8The formula for arc length of a curve y=fx over thhe interval a,b…

Q: Express the arc length of the curve y =+ between x= -3 and x = -1 as an integral. A dx. E) None of…

A:

Q: 5. Compute the arc length of the curve e f (x) =1+In(cos(x)) over the interval from x=0 to 4

A:

Q: 1 Find the length of the arc of y= from x = 1 to x = 3. 2x

A:

Q: 1. Find the length of arc of the curve y = In x from x = 3 to x = 9. |

A: As per our guidelines only one question can be answered. Please Repost the remaining questions. The…

Q: 9. Find the area of the surface generated when the given arc is revolved about the x-axis: 4x² +…

A:

Q: Which one is the arc-length of the curve y =2V12x + 14, x E [12, 14]? 14 126x+219 dx 12 6x+7 14 18x2…

A:

Q: Which of the following integrals represents the arc length of the graph of y=2lnx over the integral…

A: Here we we will find intigral which represents arc length of given graph,

Q: (3) Find the arc length of the given functions over the given intervals (a) f(x) = x² +x – 1 from x…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: 2. Set up an integral to find the exact length of the curve defined by 1 f(x) = 1 In r 2 - 4* where…

A:

Q: )* + (;) = 1 in the first quadrant, 2 find the following line integral with respect to arc length. |…

A: Given:  x22 + y22 =1 Now find the line integral w.r.t the length of  ∫C5x-7yds. parameterization of…

Q: #5. Evaluate the line integral (xydx +2x dy), where C is the arc of the parabola with equation y=…

A:

Q: so the value unden tne curve between n u a nd x is appoximalely 0.49916 αρροκίωπn and the value* is…

A: mean = 207 s = 42

Q: Which one is the arc-length of the curve y =2/7x + 11, x E [7, 11]? 147x+280 dx 7x+ 11 14x2 +…

A: The curve y=27x+11 , x∈7,11

Q: 20 The arc length of the curve y = In(1-x²) for 0 sxs is 29 400 + 841 49 + In 34 + In 15 20 29 20 49…

A: The arc length of the curve y = In(1-x2) for 0≤x≤20/29 To select correct option

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

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

A: Given curve is, r→(t)=&lt;2t, cos(2t32), sin(2t32)&gt;, t∈[0,1] Now,…

Q: 8. The area of the region outside the curve r = 3 - 3 cos 0 and insider = 6 is

A: We have to represent the required area first.

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

A:

Q: - 322 - 4x - 5 Set up but do not evaluate the integral to find the length of the arc of the curve y…

A: Given query is to find the integral form arc length.