Find the slope of the polar curve at the indicated point. r = 1 - sin θ, θ = pi/4 a) square root of 3 b) 2 c) 1/2 d) square root of2 - 1

Q: 2. Convert the polar equation to rectangular coordinates. 1 r = 1+ sin 0

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Q: Find Cartesian equation for the circle. Sketch circle in the coordinate plane and label it with both…

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Q: polar curves intersect at right angles.

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Q: Find the polar coordinates, 0 … theta .... 2pi and r >/ 0, of the following points given in…

A: (-3,4)

Q: Find the area of the intersection of the two polar circles, r = 2 * cos(Θ) r = 1

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Q: Sketch the polar curve r = cos(20) COS

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Q: 3. Draw the polar curve r = 3 +sin 30

A: Solution: The objective is to graph the polar curve r=3+sin(3θ)

Q: Graph the polar equation and find the area of the region. Interior of r = 6+3 sin 0 a.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Question in Image.

A: To convert to polar form replace:  x with r cos θ y with r sin θ   We have y = 7x + 12   r sin θ =…

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

A: The given polar equation is  r=5+4cosθ. To find: The slope of the tangent line to the graph of the…

Q: Find the exact length of the polar curve r=1+ cos 0

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Q: Convert the point with Cartesian coordinates 2 r and 0, with r> 0 and 0 ≤ 0 < 2π in radians. (r, 0)…

A: Topic = Geometry

Q: Convert the rectangular coordinates to polar coordinates with  r > 0 and 0 ≤ Theta < 2Pi.…

A: We have to convert

Q: Find the exact length of the polar curve. r = theta2,    0 ≤theta ≤ 7pi/4

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Q: Convert the polar equation 4 cos 0 to Cartesian coordinates. Describe the curve. r =

A: We will convert the given polar equation into cartesian curve.

Q: Find the polar coordinates, 0 … theta .... 2pi and r &gt;/ 0, of the following points given in…

A: The given Cartesian coordinates is (1, 1).

Q: 4) Use the conversion formulas æ = r cos 0, y = r sin 0 or r2 = x² + y², tan 0 = to convert the…

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Q: Plot the curve of the polar function r(0) = 4 – 2 sin(40) And plot the polar circle r(0)=7 then find…

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Q: Find the Cartesian coordinates of the point (given in polar coordinates). (5,tan-1 (4/3))

A: Known fact: The Cartesian coordinates of r, θ is given by x, y=rcosθ, rsinθ.

Q: Determine the points at which the limacon defined by the polar equation r = 3+ 2 sin 0 has…

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Q: Find the slope of the tangent line to a given polar curb at the point specified by the value of…

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Q: 5/3 Convert the point with Cartesian coordinates 2 to polar coordinates. Enter exact values for r…

A: Convert the point with Cartesian coordinates 52,-532 to polar coordinates.Enter exact values for r…

Q: Find the slope of the polar curve at the indicated point. r -6+5 COs o 2.

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Q: Sketch and find additional polar three points for (2,4pi/3). When r&gt;0 and r&lt;0. And theta is…

A: Given polar coordinate:

Q: Find the area and circumference of the circle represented by the polar equation r = 6 cos 0 using…

A: The given problem is to find the area of circle and circumference of the circle for the given circle…

Q: Sketch the polar curve r = sin? 0.

A: We have given a curve; We have to plot the polar curve on;

Q: Identify the polar curve r = csc 0 by finding a Cartesian equation.

A: The given curve is r=csc θ.

Q: Show that every line that does not pass through the origin has a polar equation of the formr =…

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Q: Find the slope of the polar curve at the indicated point. r = 4/theta , θ = 3π

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Q: Which of the following statements is true for the polar equation r + 6 sin 0 = 0? A. It represents a…

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Q: Consider the polar equation defined by r= 5 cos(2 sin 6), where 0<0< 2x. Determine the missing…

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Q: Find the areas of the regions in the polar coordinate plane described Enclosed by one leaf of the…

A: Area of the region bounded by r=fθ between the radial line α to β is A=12∫αβr2dθ

Q: find the area of the polar curve.   r=3-sin@

A: To calculate the area of the given polar curve , using integration

Q: Identify the coordinates of the point in polar form based upon the given conditions. Use pi for `pi.…

A: to identify the coordinates of the point in polar form

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: Find the exact length of the polar curve. r = theta^2,    0 ≤ ,theta ≤ pi/4

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Q: Graph the polar equation. r=-4 sin 0 Part: 0 / 2 Part 1 of 2 Plot six points satisfying the polar…

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Q: Find two polar coordinates for the rectangular coordinate point. one with r > 0 and one with r < 0…

A: (x, y) = (-12, 43)r = x2 + y2r = (-12)2+(43)2r = 144+48r = 192r = 13.8564r ~ 13.86

Q: Sketch the polar curve with the given equation - -3 sin 8, OA OB. oc OD. OE

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Q: Find an equation relating x and y to describe the points on the xy plane that satisfy the polar…

A: Here we have to convert polar equation in to Cartesian equation. For that we use the relationship…

Q: Convert the given polar equation into an equation in terms of Cartesian coordinates.

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Q: An aircraft P flying at a constant height has a velocity of (400 + j300) km/h. Another aircraft Q at…

A: Given that Velocity of p=400+j300km/hVelocity of Q=200-j600km/hSolution :a. velocity of p relative…

Q: Show that the polar equation r = a sin θ + b cos θ where ab ≠ 0 represents a circle, and find its…

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Q: Find the exact length of the polar curve. r = 3 cos(theta),    0 ≤ theta ≤ pi

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Q: What is the polar equation of a circle of radius a centered at the origin? Use this equation to…

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

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Q: Sketch the polar graphs and find the points of intersection for the curves: r = sin(θ) and r =…

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Q: Draw the polar curve r = 2 – 4 sin 50

A: See the attachment