2.2 Find upper bound of 2+4 (: - 3i)3 +1 where C is the circle |: – 3i| = 4.

Q: Find the area of one loop of the rose defined by the equation r=cos2θ.

A: Given

Q: -z Q2. In the circle |z| = 1, Find the upper bound for 9z4+3z²+2l

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Q: 1 1/2 Find the length of the arc cut from x = between the points ,1 and 13 -,4 3 N|3

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Q: Find the lengthof the curve r = a sin² (0/2), 0 0

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Q: 2.2 Prove that Te -dz < 3 ez z2 +7+1 where C is the arc of the circle |2| = 3 from z = 3i to z = -3.

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Q: Evaluate the integral 7 3i sinh dz, 2i)4 where C is the circle |2 – 2i| = 4 traversed once…

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Q: Find the length of the arc of the parabola  x^2 = 4y from x = -2  to x = 2.

A: I am attaching image so that you understand each and every step.

Q: 1. Find the area of the part of a petal of the four leafed rose r = circle of radius . | cos(20)|…

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Q: Draw the following curves by extracting their points and then identifying their symmetries Y= Sin ()…

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Q: 3. What is the length of the curve r = cos3 (-) where 0 < 0 <- 4

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Q: Find the exact length of the curve. v= In(1 – x²). y 0 <x < 1 In(|3|) - 8.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 1- Find all of the points where the curve r = 2 cos (-) intersects the circle of 3, radius v2…

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Q: 2. Consider any five points P1, Ps in the interior of a square S of side length ... 1. Show that one…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: 57 If t = find the terminal point P(x,y) on the unit circle 4 y = Give exact values. No decimals…

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Q: ) Find the Extreme values of f (x, y) = x³ + y² on the circle x² + y² = 1. %3D

A: To find the extreme values of the function f(x, y) =x3 + y2  on the circle which is the…

Q: Evaluate the 2 intergrals attached as images with the question.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find the exact length of the curve. y= In{1 – x²), o s 1. 0 sxs! 7. I Ju =

A: We will find the exact length of the curve as shown below

Q: Find the length of the arc of y=x^(3/2) between the points (1,1) and (4,8).

A: Find the length of the arc of y=x^(3/2) between the points (1,1) and (4,8)

Q: 1. If f(x) = 3x2/3 - 10, find the arc length of the graph from the point A(8,2) to B(27,17).

A: Note:  We'll answer the first question. Since the exact one hasn't mentioned. Please re-submit the…

Q: Find the exact length of the curve. y = In(1-x), 0sxs 8.

A: Given that: y=ln 1-x2, 0≤x≤18

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: 4.) Find the area inside the circle r=v2sin (0) and the lemniscate r2 = cos(20)

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Q: find the arclength of the path (P- 1.-2) for 0<t< 4

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Q: 8.) Find the exact length of the curve y= over the interval (0.4]. 2 %3D -

A: Given,          The exact length of the curve y=x22 over the interval 0,4 .

Q: 2.2 Prove that ne ? ++1 p- 3 where C is the arc of the circle |2| = 3 from z = 3i to z = -3. %3D

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Q: (1) Find a point P in the first quadrant on the curve f(x) = such that the rectangle with sides on…

A: In the question we have to find the perimeter of the rectangle.

Q: Find the indreated equations over beund od by the grephs of the graphs of Hhe Crea He given interval…

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Q: 12) Find the exact length of the curve [4,16] on 3

A: We can find the exact length of the curve as below,

Q: 4. Let C be the circle |z| = 2 traversed once in the positive sense cos 3z (counter clockwise).…

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Q: 1. Find the arclength of y= (4 -x3,3/2 from x = 1 to x = 8.

A: The arclength of given equation

Q: 4. Let C be the circle |z| = 2 traversed once in the positive sense (counter clockwise). Compute: .…

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Q: Find the exact length of the curve. y = In(1 - x²), o s x s

A: Solve the problem using definite integral

Q: Suppose an object moves in an elliptical orbit parametrized by x = 4 cos t and y = 5 sin t, where t…

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Q: Find the areas of the regions in Exercises : 1. Shared by the circlesr=2 cos 0 and r = 2 sin 0

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: find the arc length of the graph f(x) = x5/10 + 1/6x3  over [2,5]

A: Let y = f(x) be a function.Then, the arc length formula for the graph of the function over [a,b] is,

Q: 2.2 Prove that e zp- 3 where C is the arc of the circle |2| = 3 from z = 3i to z = -3.

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Q: Let C be the shortest path that connects n to ni and I = S. (sinhz + 1)dz. Then

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Q: 2.2 Prove that e zp- 3 2+z+1 where C is the arc of the circle |=| = 3 from z = 3i to z = -3. %3!

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Q: (27=2 + 26xy + 10x – 2y°, 13x2 + 30y² + 2x³ + 22y)and let C be the circle a2 Let F = + y = 4…

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Q: 2. Find the area of the smaller loop of the curve r = = 3( 1- 2cose)

A: We will solve the following

Q: Part (a) Evaluate 100e dz, where C is the polygonal path consisting of the line segments from z =…

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Q: The DE for the family of circles of radius 9 is:

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Q: Find the arclength on y = 4x3/2 from x is greater than or equal to 1 and less than or equal to 3

A: given: the function is y=4x32. we have to find the arc length on y=4x32 from x is greater than or…

Q: Q2 Start with a circle of radius 4 unite . Draw the second circle with radius 2 and the third one of…

A: Q2, Given that, One Circle with a radius of 4 units One circle with a radius of 2 units One circle…

Q: Find the length of the curve defined by y = 3 In 3 from x = 8 to x = 9.

A: Use derivative of function and length of curve formula .

Q: Here are the paths of sin and cos. Can we find the area of one of the areas that are closed in…

A: Consider the curves sinx and cosx

Q: Find the length of one complete graph of the hypocycloid given by r(t)= (cos't,sin't) for 0st<2n 3

A: One complete graph of hypocycloid looks as follows:   From rt=cos3t,sin3t, we have x=cos3t and…

Q: 3) Find the exact length of the curve y = x² – In x for 1< x < 2. 1„2

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Q: Find the exact length of the curve. y = In (1 - x2) ,    0≤   x ≤ 1/2

A: Given, y=ln1-x2,0≤x≤12 We know the ars length formula is, L=1+dydx2dx Now we find the derivative by…

Q: 4 The line y= -Lx+3 has a perpendicu lar which fangent to the graph of y= (x²-2) (2x+k) at x=-l,…

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