Sketch the polar curve in (x, y)-coordinates. Compute at least 4 points on th Find the area enclosed by the curve. Hint: Recall that cos² (0) = 1 + cos(20)

Q: 2. Set up the integral to find the exact length of the curve Completely simplify the integrand X = +…

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Q: 7. in Gi Find the that outside the area Wies of the region inside r= 3 sinQ and r= 1 + sin e

A: As per bartleby answering guidelines we have to do first question

Q: What is the slope of the line tangent to the polar curve r = ㅠ Ө - ? O 1 √√3 ✓ 2 T -||♡33 √√3 cos at…

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Q: Consider curve given in polar coordinates by Find the derivative r = 8 cos 0,0 ≤ 0 ≤T/2, dr do -8…

A: The given curve is: r=8cosθ;  0≤θ≤π2. To Do: Find the derivative drdθ. Compute the surfaced area…

Q: 6. Consider the polar equation: r = 2-3 sin 0 (a) Graph the curve. (b) Write integral(s)…

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Q: The polar curve of r = 2 sin(0) + 3 is given below. Find the area of the shaded region.

A: The polar curve equation

Q: Draw the polar curve r = cos(30) with its orientation. Set up all integral to evaluate the length of…

A: First, find the node to the polar curve by equating r = 0, so cos(3θ)=rcos(3θ)=0(3θ)=-π2,π2θ=-π6,π6…

Q: 3. Find the polar coordinates of all points on the cardioidsr=1- sine, at which there is a…

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Q: Find the length of the spiraling polar curve 69 个= 3e From 0 to 2T The length is

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Q: Graph the polar curve r = e® for 0< 0 < n.

A: The given polar curve is,

Q: Find the area that lies outside the polar curve r = 2 – 2 cos 0 but inside the curve r – 4 = 0

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Q: Find the length of the spiraling polar curve r = - 2e² from 0 to 2. Length =

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Q: Evaluate ¹ (x²+x²2²)dzdx by using polar coordinates.

A: We have to evaluate the given integral using the polar coordinates. First we have to identify the…

Q: Use desmos to obtain the graph of the polar curve r = 2 cos - sec 0. This curve is called a…

A: (a)

Q: Q2 Find the points of intersection of the polar curves r=1+cos 9 and r= -cos

A: Point of intersection of the Polar curve

Q: 5. Using Geogebra, draw the polar curve, r = sin³ (2.50) +cos³(2.50),0 ≤ 0 ≤ 2ñ.

A: Consider the curve

Q: Find the arc length

A: Given,            r=a(1-cosθ).

Q: Use De Moivre's Theorem to solve for z and leave your answer in polar form with the angle in radians…

A: If z=rcosθ+isinθ then the nth root is zn=rncosθ+2πkn+isinθ+2πkn and if z=a+ib then r=a2+b2 and…

Q: Determine the arc length of the curve formed by the polar equation r = 4 cos 0 - 4. 2T 2п 2√/2 √1 -…

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