31 A curve with polar equation r = 3 sin 0 + 7 cos 0 represents a line. This line has a Cartesian equation of form y = mx + 6 ,where m and b are constants. Give formula for y in terms of x. For example, if the line hac equation y 2x + 3 then the answer would be 2 · x y =

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: Draw phe Polar curve defind by r=4+2 Cos 36

A: Given:

Q: 11) Find the rectangular form of the polar equation: r = sin 0 + cos 0

A: Given: r = sin θ + cos θ To find: The rectangular form of the given polar equation.

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. 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)…

Q: 47. Show that every line that does not pass through the origin has a polar equation of the form sin…

A: Let's understand the relationship between polar coordinates and Cartesian coordinates. Please see…

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: find a polar equation for the curve represented by the given cartesian equation 5x^2 +y^2 = 8x (r is…

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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 ball is thrown at an initial height of 100 feet at an initial velocity of 80 feet/second at an…

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

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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: 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: 37. The Cartesian equation of the polar curve 2 = 2a' sin 20 is A. 1? + y? = 4a²xy B. (z* + 3° )° =…

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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: 1. Describe the graphs of the equation (a) r = cos 20 in cylindrical coordinates. (b) p= sec otan 0…

A: First change cylindrical and spherical coordinates system to Cartesian coordinates system

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: 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: Find the length of the curve over the given interval:    Polar equation: r=5 Interval: [0,pi/6]

A: Given curve

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: 9. (a) Find the rectangular coordinates of the point(s) of the graph of the polar equation r = 4 sin…

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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: Find the equation of the tangent line to the polar curve r = 2 – sin(θ) at θ = π/3. Draw

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Q: 1) The cartesian form of the polar equation (r² cos0 sin® = 4) is? b) (xy)² = 4 a) xy = 4 c) xy? = 4…

A: Since you have asked multiple question,As per our policy, we will solve the first question for you.…

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: 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: 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: 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: 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: 10. Consider the curve with polar equation r = 6 sin 0 where 0< 0 <T. WVithout finding the Cartesian…

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Q: 6 (1). Consider the curve C of equation (x²-2y+y²)² = x²+y². Among the options listed, select the…

A: We know that a polar coordinate is represented by r, θ, where r is the length with r=x2+y2 and θ is…

Q: What type of polar curve does the equation r = 8 sin^2 (@/2) represent?

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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 parametric equations: x = a a cos 8,y = a sin 0;0 <e< 2n, define a curve called an asteroid

A: Given: The parametric equation is where 0≤θ≤2π   To determine: The slope of the tangent wrt θ i.e…

Q: 8 a. Given the polar equation r² sin20 = 8, find an equivalent Cartesian equation.

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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

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: 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…

Q: A ball is thrown at an initial height of 50 feet at an initial velocity of 65 feet/second at an…

A:

Q: A curve with polar equation 32 3 sin 8 + 13 cos e 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…

A: