For this problem, consider the polar curve r= 2 + sin(20), 0 s0ST/2. %3D (a) Find the area enclosed by this curve and the x and y axes. (b) Write an integral for the arc length of this curve. DO NOT EVALUATE.

Q: Calculate the arc length of y = 3x + 1 as a varies from 0 to 4. S =

A: Given that ,Calculate the arc length.

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

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Q: Find the area under the polar curve r = cos(0) – sin(0) between the lines 0 = 0 and 0 = 4 5.

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Q: A robot arm joint moves in an elliptical path (horizontal major axis 8.0 cm, minor axis dy 4.0 cm,…

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Q: Find the length of the curve r= cos'(8/3). OsesT/4

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Q: Find the equation of the tangent line to sin-(x - 2y) = 2xy – 1 %3D (1). at the point

A: Given,            The equation of the line is sin-1x-2y=2xy-1 and the point is 1,12.We know that,…

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A: We will use integral to find area and arc length of polar curve  Note: maximum 3 subpart are allowed…

Q: Find the arc length of the curve y = 3e² + 12 e from a = 0 to x = 4. =

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Q: A curve is defined by y=(1/3)sin(2x+1). Evaluate the angle between the tangent to the curve at x=2,…

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Q: For r=sin40, (i) sketch the curve. (ii) Find the area of one loop of the curve.

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Q: d) y = sin*(x'/3) + arctan(r?)

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Q: cos(0) – sin(0) between the lines 0 = 0 and 0 = 4 Find the area under the polar curve r = 5.

A: Explanation of the answer is as follows

Q: The path of a projectile is modeled by the parametric equations x = (90cos(60°)) and y= (90sin(60°))…

A: The path of projectile described by the curveTo find the arc length of the projectile.We use the…

Q: find the integral by polar coordinate SS (se'ty') dydx, whore

A: The solution is given as

Q: Find the arc length of the graph 3/2 x = (1/3)(y² +2)2 from y=0 to y=4. Show your work and write…

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Q: Find the length of one arch of the cycloid x = 5(t – sin(t)), y = 5(1 – cos(t)). %3D Check Answer

A: The given parametric equations are: x=5t-sint, y=51-cost The formula of the length of arch S is…

Q: Evalwate the intergals:(i) (x X arctan x dy

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: Consider the function y = 4x + 3 between the limits of x = O and x = 7. а) Find the arclength L of…

A: We will use the following formulas to solve the both parts arc length of y=f(x) between x=a and a=b…

Q: 24. Find the area between the inner and outer ovals of the curve = a(1+sin 6).

A: To find- Find the area between the inner and outer ovals of the curve r2 = a21 + sin θ