33 A curve with polar equation r 9 sin 0 + 55 cos 0 mx + b,where m and b are represents a line. This line has a Cartesian equation of the form y constants. Give the formula for y in terms of r. For example, if the line had equation y = 2x + 3 then the answer would be 2· x + 3.

Q: The transform curve of polar equation r 4 cos@+4 sin e to rectangular coordinates (x-2)° – y² = 8…

A: Given that: r=4cosθ+4sinθ

Q: 1. The parametric equations: x = a cos 0,y = a sin? 0;0 ses 2n, define a curve called an asteroid

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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: 2. The curve with polar equation 24 3 cos 0 + 4 sin 0 = is a line. Find the slope and the…

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Q: 19 A curve with polar equation r = 8 sin 0+17 cos 0 represents a line. This line has a Cartesian…

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Q: 1) a) sketch the curve. b) eliminate the parameter and find the Cartesian equation for the curve. c)…

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Q: 2. Graph the given parametric equations using values of t between 0 and 180 degrees. x = 2 cos(3t) ,…

A: Put the values of t in to given equation one by one, find the points

Q: A curve with polar equation r=8/4sinθ+21cosθ represents a line. This line has a Cartesian equation…

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Q: a) A curve has the parametric equation given as x = 4+3 cos 0 y = 3 sin 0 – 2. i) Convert the…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Consider the curve C of equation (2x² – y + y³)² = a² + y? From the choices given, select the one…

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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: 1. Find a cartesian equation for the curve r² sin 20 = 8.

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

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Q: 7- Find the length of the curve T = e", 30 - A<0<T given in polar coordinates. a)V10 sinh(37) b)2/10…

A: Given a curve : r=e3θ   ,-π≤θ≤π We need to find the length of the curve. Let's start.

Q: r cos 0 = -3 2n 5Tt 2 3 Check for symmetry line 0 = = pole polar axis

A: rcosθ=-3 Now when θ=0, rcos0=-3⇒r1=-3⇒r=-3 When θ=π6, rcosπ6=-3⇒r32=-3⇒r=-23 When θ=π3,…

Q: The equation of the polar curve above is E. r = 3 + 2 sin 0 F. r = 3 - 2 sin 0 G. r = 3+ 2 cos 0 H.…

A: From the direction of the cardioid, extending horizontally, that you…

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: 30 A curve with polar equation = 3 sin 8 + 7 cos e represents à line. This line has a Cartesian…

A: Given, a curve with polar equation…

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

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

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Q: Convert the polar equation 4r cos θ + r sin θ = 8 into a rectangular equation that expresses y in…

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Q: 3. Consider the polar curver = sin (0), for 0 € [0, 27). (a) Find the tangent line to the curve at 0…

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Q: 12. (a) Sketch the curve in the polar coordinate system with directions, (b) Find the values o for…

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Q: 12 A curve with polar equation r = 4 sin 0 + 33 cos 0 represents a line. This line has a Cartesian…

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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: 2. a) If -1 o £ 2, give three polar points in the torm of Cr,@) eanivalent to Cartesian point…

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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…

Q: 12 Find a Cartesian equation for the polar curver = Solve for y and type the simplified solution in…

A: The given equation is: r=12sin θ-15 cos θ...(1) To convert the polar equation to the cartesian…

Q: The parametric equations x= 4 − 6 sin 4t and y = 6 + 6 cos 4 t for 0 ≤ t ≤ π/3 represent a curve…

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Q: 10. (a) Given the polar equation r = -4 cos 6. Write the polar equation as a Cartesian equation. (b)…

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Q: Consider the polar curve with equation r=1+2cos(θ):   (I) The slope of the tangent line to the curve…

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Q: A curve with polar equation r = 20 4 sin 0+ 17 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: 7. The polar equation of the curve r2 + y² = 2x is A T= 2 cos 0 T= sin 20 T= 2 sin 0 B D T= cos e

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Q: 10. Consider the curve with polar equation r = 6 sin 0 where 0< 0 <T. WVithout finding the 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: 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: 1. Consider the parametric equations x = cos(2t) – sin(2t), y = sin(2), -sts cos(2t) + Зл a.…

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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: 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: 39 9. A curve with polar equation r = 6sin0+13cose represents a line. This line has a Cartesian…

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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: 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

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

A: see below the answer

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: Find a Cartesian equation for the curve represented by polar equation r= 14 cos 0- 4 sin e. O A. ^…

A: Use the transformation from polar coordinate to Cartesian coordinate and simplify.

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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