Sketch the curve given in polar coordinates. r = 2 + 4sine , 0 < 0 < 2n

Q: Write a polar equation of the form r sin(0 – 0,) = ro for the line 2/3 x+2y = 1. %3D

A:

Q: Find the distance between the points with polar coordinates (4, T/3) and (6, 21/3).

A:

Q: Find a polar equation for the curve represented by the given Cartesian equation. y = 4

A: Given ,Y = 4

Q: Find the exact length of the polar curve. r = 0, 0 < 0 < 37/2 12.47776

A:

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

A:

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of 0…

A:

Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 < 0 <…

A: To convert Cartesian equation into polar equation , put x=rcosθ, y=rsinθ in y=3x3 ⇒rsinθ=3 ×rcosθ3…

Q: Sketch the polar equation r = 5cos20 for – and upload your sketch. Mark scales on both x- and…

A: We have to sketch the polar equation r=5cos2θ  for -π2≤θ≤π2.

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

A:

Q: Find a polar equation for the curve represented by the given Cartesian equation.

A:

Q: Find the angle α between the polar curves r1=eθ and r2=e−θ at the point of intersection.

A:

Q: Find a polar equation for the curve represented by the given Cartesian equation. x + y = 9

A:

Q: Sketch the curve with polar equation r = 2sin3θ.

A:

Q: Plot the polar curve r(0) = on [0,57].

A: Given that,  r(θ)=θπ on 0,5π

Q: Find a polar equation for the curve represented by the given Cartesian equatic y = 4

A:

Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

A:

Q: Find a polar equation for the curve represented by the given Cartesian equation. x2+y2=100

A: Here given cartesian equation  x2+y2=102 it is an equation of the circle with radius 10.

Q: Sketch the polar curve 0=1

A:

Q: Find a polar equation for the curve represented by the Cartesian equation: x² = 8y. Or= 8 sin cos 0…

A:

Q: Write a polar equation of the form r cos(0 – 0,) = ro for the line 3 x- y = 2.

A: Given: To find the polar equation of the form r cosθ-θ0 =r0 for the line 3x-y = 2.

Q: Sketch the curve r = 8+8cos € in polar coordinates.

A:

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of O…

A:

Q: Find the Cartesian coordinates of the point (given in polar coordinates). (1, 0)

A:

Q: 6. Find a Cartesian equation for the polar curve and describe its shape: r= 3csce

A: The given equation,              r=3 cscθ

Q: compute the length of the polar curve. The curve r = sin θ for 0 ≤ θ ≤ π

A: The length of the polar curve r(θ) for a ≤ θ ≤ b is given by,

Q: Find the exact length of the polar curve. = 02, 0 < 0 < 27 %3D

A: r=θ2,0≤ θ ≤ 2πdrdθ=ddθ(θ2)=2θL=∫02πr2+drdθ2dθ =∫02πθ4+(2θ)2dθ=∫02πθ4+4θ2dθ=∫02πθθ2+4dθ

Q: (c) How do you find the length of a polar curve?

A:

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

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

Q: Sketch the polar curve defined by the equation r =1+2cos(3t).

A: We will sketch the polar curve by finding the value of ' r ' for different ' t ', t varies from 0 to…

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

A: The given curve is r=csc θ.

Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

A:

Q: Find a polar equation for the curve represented by the given Cartesian equation. 4y? =

A:

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of θ…

A: We need to sketch the curve with the given polar equation by first sketching the graph of r as a…

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of 0…

A:

Q: Write a polar equation of the form r cos(0 – 0,) = ro for the line x - y = v2. %3D

A:

Q: Find a polar equation for the curve represented by the given Cartesian equation y = 7

A: Given cartesian equation of the curve is  We will use the following substitution to convert…

Q: Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 10cx

A:

Q: Consider the graph of a polar curve in the r0-plane plotted only from 0 = 0 to 0 = 27/3. Plot this…

A:

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of 0…

A:

Q: The curve (x-)*+Cy +1)*= 4, x 7,1 is given. First draw it in the Cartesian plore and then transtorm…

A:

Q: find a polar equation for the curve represented by the given cartesian equation y=2

A: Solution Given The given cartesian equation is  y=2. We need to find the polar equation.

Q: Consider the curve C of equation 4.xy x² + y? x² + y² From the choices given, select the one that…

A:

Q: b, The polar equation for the curve whose rectangular(cartesian)equation xy32 is: (a)rcosesine = 4 4…

A:

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

A:

Q: Sketch the graph of the polar equation.r = 2θ, θ ≥ 0 (spiral)

A:

Q: Find a polar equation for the curve represented by the given Cartesian equation. xy = 6

A:

Q: how to find  Find the exact length of the polar curve. r = θ2,    0 ≤ θ ≤ 7π/4

A: The polar curve I given as, r = θ2,    0 ≤ θ ≤ 7π/4.The formula to calculate the exact length of…

Q: Find the equation of the line tangent to the polar curve at the point r=2cos(theta/3), theta=pi/4

A: Given: The slope of the tangent line is calculated by using the following formula,

Q: Show that the polar equation for the curve with Cartesian equation x² – y² = 1 is r? = sec 20.4

A: