1. Given x = y² + yt! X y²+ y +ı from osy≤2 Which of the following expression gives the arc length of the given curve over the interval? 2 a. So √ 4y² + 4ydy 2 b. 5² √ 4y² +44 +2dy 2 5²° √T-(2y + 1)² dy 2 So √¶y² +44 +1dy d.

Q: Use the Theorem of Pythagoras to find the length of the line segment y = 3xfrom (1,3) to (2,6), and…

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Q: Let C be the line segment connecting the point p traces out C, the arc length of c(t), and ||p-q|| .…

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Q: Find the arc length of the curve on the given interval. x²,y=141, 0 ≤t≤7 Select one: O a.…

A: Given the parameteric form of a curve.

Q: 4. Let C be the unit circle in the xy-plane, and S be the boundary of the square with side 1,…

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Q: 5. Is the point (2, 7) on the circle defined by (x – 2) + (y – 7)2 = 4?

A: Given equation of the circle is: (x-2)2+(y-7)2=4 Given point is: (2,7) Substituting,x=2,y=7 in given…

Q: 2.2 Prove that e? dz] < 3 +++1 where C is the arc of the circle |2| = 3 from z = 3i to z = -3.

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Q: Calculate the length of the astroid of x2/3 + y2/3 = R2/3 for R = 2. -R R -Rt +x R

A: To calculate the length of the asteroid of

Q: Find the arc length of the curve x = (10 – 2y)³/² ,-3 < x<

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Q: Find the arclength of y = 2x² - 1 on 0 ≤x≤3

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Q: 6a) Let A be the parabolic arc defined by the equation y = 8x – x´ over the domain interval [0, 8].…

A: (a) Consider the given function. y=8x-x2 Now, draw the above function by using the calculator.

Q: Let F(x, y) == and let C be the circle r (t) = (cost)i + (sint)j, 0 ≤ t≤ 2π. A. Compute მი Note:…

A: Step 1: Step 2: Step 3: Step 4:

Q: c. Evaluate f 3x ds, where C consists of arc C₁ of parabola y = x² from (0,0) to (2,4), followed by…

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Q: Compute . Z+1 dz, where C1 is a part of a circle with r = 3, and 0<0< %3D

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Q: 3. Use the Secant method on the circle function (x + 1)²+(y – 2)²= 16 to %3D find the intersection…

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Q: 10. AT is tangent to both circles K and J at A. ST is tangent to OK at S and RT is tangent to OJat…

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Q: Evaluate F. dr where F = (0, -3y, 3x), and C' is given by F(t) = (t, sin(t), cos(t)), 0 <t≤ñ ch 201

A: As Per Bartleby Answering Guidelines We Solve Only First One Problem

Q: AB is tangent te OC at point A. mod

A: Given : AB is tangent to the circle at the point A. ∠ABC = 37°

Q: Find the curva tuie For He Curve 2+); +(6 cos 2t) + 5¢ K %3D

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Q: Evaluate zdz from z=0 to z-4+3i along the curve C given by the line from z=0 to z=3i and then the…

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Q: 4. If the length of the curve y=√√x-x² + arcsin√x on [a,1] is 1, find the value of a.

A: We have to find the value of a.

Q: Q: How many intersection points between the following curves 1+ cos(0) and 1- cos(0)?

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Q: Find zdy + yda, where C is the arc of the curve y = e² for 0 ≤ x ≤1

A: To find the given integral , change complete integral in the function of 'x' .

Q: WXY is an isosceles with WX ≅ XY, find WY. WX = 6x-77. XY = 3x+4. WY = 5x-31.

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Q: 9. At what angle does the circle, +²=5x, intersect the curve, 3y=7³-1, at their common point (1, 2)…

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