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## Related Calculus Q&A

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Q: Find the slope of the line tangent to the following polar curve at the given point. 元 r=2-2 sin 0;…

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Q: 5) Identify the curve a Cartesian equation for the curve given in polar coordinates by r = 4sin 6 by…

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Q: 7 A curve with polar equationr = 5 sin 0 + 31 cos 0 represents a line. This line has a Cartesian…

A: topic - change in coordinate system

Q: 3 Find the length of the curver= cos °(0/3), 050ST/2. The length of the polar curve is- (Type an…

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Q: A curve in polar coordinates is given by: r = 12 + 5 cos 0. Point Pis at 0 = 297 24 (1) Find polar…

A: Given polar curve r=12+5cos(θ)θ=29π24 (a) To find out polar coordinate r for the given P, Plug in…

Q: Both the polar curves r 3-2cose and r=-3+2 cos0 are symmetric to what axis O Line OX or the polar…

A: To find the symmetry of both the curves, r=3-2cos θ and r=-3+2cos θ, plot the graphs of both the…

Q: A curve with polar equation r = 7 sin 0 + 36 cos 0 represents a line. This line has a Cartesian…

A: To find the formula for y in terms of x :

Q: 4/3 T Find the slope of the tangent line to polar curve r = 4 sin 0 at the point Question Help:…

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Q: SciOnכ Find the slope of the polar curve at the indicated point. r= e = 3TI %3D -3m Undefined

A: To calculate the slope of the below polar curve at the indicated point. r=4θ, θ=3π

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Q: 36 A curve with polar equation r = 29 sin 0 + 7 cos 0 represents a line. Write the equation of the…

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Q: A curve with polar equation 16 6 sin 0 + 13 cos 0 represents a line. This line has a Cartesian…

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Q: The graph of the polar equation r(0) = 0 cos(0), o ses. with derivative = cos(e) – 0 sin(0), is…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: 31 A curve with polar equation r = 3 sin 0 + 7 cos 0 represents a line. This line has a Cartesian…

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Q: Consider the polar equation r = 4 cos 20. (a) Sketch the graph of the polar equation. Please show…

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Q: Given the polar equation r = 1+2 cos 0. i. Show that the graph of the equation is symmetrical to the…

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Q: 33 A curve with polar equation r 9 sin 0 + 55 cos 0 mx + b,where m and b are represents a line. This…

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Q: Consider the polar curve cos 0- sin 6 osos a) What happens when e approaches ? b) Convert the polar…

A: Given, r=1cosθ-sinθ, 0≤θ≤π4

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Q: 5. Calculate the area A between the orange circle and the blue rose shown in the diagram below if…

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Q: 39 A curve with polar equation r = 3 sin 0 + 25 cos 0 represents a line. This line has a Cartesian…

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Q: A curve with polar equation 29 8 sin 0 + 65 cos 0 represents a line. This line has a Carteslan…

A: Given:- r =29/(8sinθ+65cosθ) To find:- Equation of line in Cartesian form

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Q: 23 A curve with polar equation r : 4 sin 0 + 13 cos 0 represents a line. This line has a Cartesian…

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Q: 23 A curve with polar equation r = 4 sin 0+ 13 cos 0 represents a line. This line has a Cartesian…

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Q: 44 A curve with polar equation r = 7 sin 0 + 36 cos 0 represents a line. This line has a Cartesian…

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Q: Carefully sketch the curve for the given polar equation (make sure to include a chart of some values…

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Q: (4) a) Verify that the polar coordinates satisfy the equation r = 4 sin360. b) Sketch a graph of the…

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Q: 50 A curve with polar equation r 5 sin 0 + 21 cos e represents a line. This line has a Cartesian…

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Q: 1. Let C be the polar curve given by r = 2+ sin 0, –T/4<0 <#/2. Sketch the curve. b. Indicate with…

A: Given : C: polar curve=r=2+sin θ, -π4≤ θ≤π2 (a) The graph of the polar curve and (b)…

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Q: 20 4. An ant walks on a flat surface along a curve with polar equation r= from a point where 0=0 to…

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Q: 14) (a) Given the polar equation r = 1 - 2sin(e), sketch the curve by first sketching the graph of…

A: the red line represents the cardioid r=1-2sinθ and the blue line represents the x2+y2=x2+y2-2y where…

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Q: 9. Given the polar equation r = 1+3 sin 0. Test the polar equation for symmetry with respect to the…

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Q: 10.2.23 Express the Cartesian coordinates (-1V3) in polar coordinates in at least two different…

A: A cartesian coordinate of the form (x,y) is written in polar coordinate form as (r,θ) where:

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Q: 3. Find a polar coordinates for the point that is described in Cartesian coordinates as (x,y) = (2,…

A: We can solve the given problem using the concept of polar coordinate of given problem.

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Q: A curve with polar equation r = 8 sin 0 + 49 cos 0 represents a line. This line has a Cartesian…

A: The polar equation is, r=58sinθ+49cosθ Rewrite the equation. 8rsinθ+49rcosθ=5 Substitute y for…

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Q: 3. Sketch the polar curve r = 2 sin 30 by first sketching the graph of r as a function of e in…

A: Given the polar curve, r=2 sin3θ ...(1)

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Q: Given the polar equation r = 1+2 cos 0. i. Show that the graph of the equation is symmetrical to the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

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Q: ht) A curve with polar equation 9 r = 7 sin 0 + 36 cos 0 ents a line. This line has a Cartesian…

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Q: Consider the polar curve r = sin 0. a. Find an equation for the tangent line to the curve at 0 = 3…

A: given polar curve is r=sinθ we know that…

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Q: 4. Given the polar equation r =1+sin 0. (a) Sketch the curve by first sketching it in rectangular…

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Q: Q1/Replace the polar equations with equivalent Cartesian equations and vice versa. (Three only) 1. r…

A: GIVEN; =>Replace polar equation with equivalent cartesian equations and vice versa => We…

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Q: Find the area of the shaded region, where the polar curve is given by r = 1+ sin(0). You may need to…

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Q: Q1/Replace the polar equations with equivalent Cartesian equations and vice versa. (Three only) 1. r…

A: We are given equations in polar and cartesian. we have to change them.

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Q: 8. First graph the polar curve r= sin(20) on 0<60<2n and plot the point on the curve that…

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Q: Express the Cartesian coordinates (2,2 3) in polar coordinates in at least two different ways. Write…

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Q: Find the area of the shaded region, where the polar curve is given by r = sin(40). You may need to…

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Q: a 2 3 4 Identify the coordinates of the point polar form based upon the given conditions. Use pi for…

A: to find the coordinates

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Q: Arc length of polar curves Find the approximate length of the following curve. The limaçon r = 3 + 2…

A: Consider the provided curve, r=3+2 cosθ Find the approximate length of the polar curve. We can write…

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Q: curve r 4 cos0 and find the equation of the curve in Cartesian coordinates 8. Sketch the polar

A: to determine.

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Q: 9. Consider the point 4, in polar coordinates. 3 9a This point is 4 units away from the pole on a…

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Q: a. Match the polar or rectangular equation on the left with the letter of the rectangular or polar…

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Q: P=(x, y)=(r· cos 4, r.sin 4) = dyldo dx/do %3D Formula: a%dx. dx/do %3D Sketch a the rectangular…

A: Sketch a rectangular plot, sketch a polar graph, find the slope and inclination of the tangent line.…