3. Sketch the curve with polar equation r = cos(30), 0≤ 0 < 2π, plotting only the

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: 4. Find the length of the curve having a parametric equation of x = a cos 3 6, y = a sin 2 0 from e…

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Q: Consider the polar curves C₁ : r = 2 - cas 0 and C₂: r = 2 + 2 cos 0, 0 € [0, 2πC). (1.) Show that…

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Q: 1. Graph the line using parametric equations from t = 2 tot = 6. x = 10 – 2t, y = 3 – ÷t

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Q: How many times do the graphs of the polar curves r=3 and θ=π/6 intersect?

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Q: Sketch the curve with the given polar equation. r = 1+2 cos 0 7/2 Зп /4 T/4 2 4 57/4 77/4

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Q: = 4 sec 0. Find the Cartesian equation for the polar curve r =

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Q: determine the slope of the tangent line to the polar curve r = 1+3 cos(20) at 0 6

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Q: Find the slope of the polar curve r = 2( 1 – cosx ) when x = pi/4 . a. 1.707 b. 2.414 c. 1.866 d.…

A: Given equation of curve : r=21-cosx   ,  x=π4. drdx=2sinx The slope of polar curve   r=21-cosx  at…

Q: Find the slope of the tangent line to the polar curve r = 4 - 3 cos (0) at 0= - T 3

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Q: 2.) Given the parametric equations x=cos3t and y=sin3t. Find the equation of the normal line at the…

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Q: . Find the slope of the line tangent to the parametric curve x = 2cost and y = 2- cos²t for 0<t<n at…

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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: 7. Calculate dy/dx at the point indicated: f(0) = (7tan O, cos O), 0=/4

A: Here we will use the concept of parametric equation and Derivative of parametric ewyations

Q: Find a Cartesian equation for the curve which is defined by the polar equation: r= 6csc(0) where 0<0…

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Q: E x+y= 10«

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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…