Consider curve given in polar coordinates by Find the derivative r = 8 cos 0,0 ≤ 0 ≤T/2, dr do -8 sin(theta) and use it to compute the area of the surface formed by revolving the curve around the polar axis. Enter theta for 0. = = f 64 sin(2theta) de = 64 cos(2theta) 2 K|NO 64π

Q: Show that the graph of the equation r = 2a sin θ, a > 0, is acircle of radius a with center at…

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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: The parametric equations for the paths of two objects are given. At what rateis the distance between…

A: Given: The parametric equations for the paths of two objects are given. At what rateis the distance…

Q: length of the curve r = 4 sin 20 for ÷sos 6 2

A: To find the length of the curve r=4 sin 2θ for π6≤θ≤π2.

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: Graph the following polar function r = f(0) =V4-3 sin 20 on the interval 0<0<2n , and find %3D the…

A: We have polar function given and we have to graph the function and find the area of this sector.

Q: rm (r, "/3) fron polar into rectangula Iorm any posit radius

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Q: tan 44.1°

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Q: Find the point(s) of intersection between the following two polar curves on the interval [0, 360]: r…

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Q: Find the area inside both the polar rose r = 5 sin (20) and the curve r quadrant. Enter an exact…

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Q: Find where the polar function f (theta) = 6 cos(theta) has a vertical tangents over [0,2pi]

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Q: Using the polar function r = 1 + cos(θ), find the slope of the tangent line at the point (3/2, pi/3)

A: Given: The polar function is, r=1+cosθ

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

A: We need to find out the area of the surface of revolution formed by the given function.

Q: Find the points (x, y) at which the polar curve 4 cos 0, horizontal tangent line. Vertical Tangent…

A: As we know ⇒x=r cos θ⇒y=r sin θHere r= 4cosθThen ⇒x=4cos2θ and⇒ y=4cosθsinθ⇒y=2sin2θ…

Q: O Find plane area inside the polar function r = 2 and outside polar function r = 2 sin (+ 0) in…

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Q: What quadrant does the spiral r=-theta enter first as theta increases from 0 ?

A: The equation you provided, r = -θ, describes a spiral with a negative slope. In polar coordinates, θ…

Q: Find the length of polar curve of r=θ^2 with θ less than or equal to 7π/4 and greater or equal to 0.

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Q: п 4. Find the slope of the tangent line to the polar curve r = 1 – sin40 at 0 = 4 : a. 3 b. 4 c. 2…

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Q: Plot the following curves in polar coordinates. 50 (52) 1. r = 2 + cos

A: We have to graph the given polar curve.   According to our guidelines we can solve only one question…

Q: Sketches of y=sinx,y=cos× and y=tanx on separate sets of axes if xe(0°;360°)

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Q: Sketch in Polar X =-Jy %D

A: This can be done by the equations for cartesian to polar conversion which is derived in step 2.

Q: Please sketch the plot of the polar curve sin(0) and then calculate the shaded area for 0 < 0 < 7/4

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Q: Find the length L of the polar curve r = 6 sin for 0 < 0 <- 2 2 OL= 12 OL= 6 OL = 6/2 OL = 12 – 6/2

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Q: Graph the polar equations r = 3-2sin(theta) and r = 2 . Find and label any key points needed to find…

A: Given that, Polar equations, First, we need to find points of intersection of two graphs: By…