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

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

A:

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

A:

Q: What is the slope of the line tangent to the polar curve r = ㅠ Ө - ? O 1 √√3 ✓ 2 T -||♡33 √√3 cos at…

A:

Q: Find the exact length of the polar curve. r=(theta)2, 0 (less than or equal to) theta (less than or…

A:

Q: Consider the curve given in polar coordinates by r = 2 – sin 0. Compute the slope at 0

A:

Q: Convert the polar equation to rectangular form and sketch Its graph. r= 9 sin(@) y y 0.8 0.6 0.4 2…

A: Given: r=9sinθ

Q: Find the exact length of the polar curve r=1+ cos 0

A:

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

A:

Q: find the exact length of the polar curve r = θ2,    0 ≤ θ ≤ 2π

A:

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

A:

Q: Find a polar equation in the form r cos (0 - 0) = ro for the line x = - 12.

A:

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

A: Given that,  r(θ)=θπ on 0,5π

Q: Sketch the parametric curve of the given parametric equations and indicate the orientation. 1. x=3t…

A:

Q: Find a polar equation of the line with slope -1 that passes through the origin.

A: Given, a line with slope -1 and passes through origin

Q: Find the exact length of the polar curve. = 02, 0<0 s T/2

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: Find a polar equation in the form r cos (0-0) = ro for the line 2/2x+2/2 y = 16.

A:

Q: Sketch the polar curve 0=1

A:

Q: Calculate the length of the polar curve r=1-sinθ on the given interval (0,2π).

A: In the given question we have to find the length of the polar curve on the interval . Concept:…

Q: Example 7 Sketch the curves (a) r 1 (b) @ = 4. %3D in polar coordinates.

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 a graph of the polar equation and find the tangents at the pole. r = 3cos2θ

A:

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

A:

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

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

Q: ) Identify the conic section given by the polar equation r =

A:

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

A: Consider the polar curve  r=2+4sinθ                             0≤θ≤2π

Q: Sketch the polar curve with the given equation = -3 cos 0,

A: Polar equation r= -3 cosθ , -π≤θ≤π

Q: Convert the rectangular equation y = 3 to a polar equation that expresses r in terms of θ .

A: Given:y=3

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

A:

Q: Find the exact length of the polar curve. = 02, 0s0 < T/2

A:

Q: Find an equation in x and y that has the same graph as the polar equation r-sin e =0 and graph on…

A:

Q: Find the length of the polar curve r = −4 sin θ, 0 ≤θ ≤π. Assume that the curve traces out exactly…

A: Find the length of the polar curve r = −4 sin θ, 0 ≤θ ≤π. Assume that the curve traces out exactly…

Q: 2) Sketch the graph of the curve with the polar equation: r= 2– sin(20).

A:

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

A:

Q: Calculate the slope of the polar curve  r=4cos3θ  at the point where θ=5π/6

A:

Q: Sketch the polar curves r= 9 sin 0 and r 4-9 sin 0. Indicate the co- ordinates of all r and y…

A:

Q: Sketch the polar curve with the given equation "= -4 cos 0, - TSOST.

A:

Q: Find the exact length of the polar curve. r = 0², 0≤ 0 ≤ 4π X

A:

Q: 1 Sketch the curve r=-+sin0 cos 0 ,0 < 0<2n in the polar plane.

A: Any point on the Cartesian coordinate system is represented as x, y. Any point on the polar…

Q: Convert the point Cr,e)f from polar to nectangular COordinates (xx) 5T 3. ब्लज( कथावक 2)(a,)

A: To convert the given point from its polar form to rectangular form

Q: Find the slope of the polar curve at the indicated point. r = 1 - sin θ, θ = 0

A:

Q: Find the polar coordinates of a point with Cartesian coordinates (x, y) =

A:

Q: Find the polar equation for the Cartesian curve x² - y² = √√x² + y².

A:

Q: Transform the polar equation 0 to an equation in a and y. %3D 4

A:

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: Sketch the graph of the polar equation.r = 2θ, θ ≥ 0

A: The given polar curve is: r=2θ; θ≥0 Now, as θ changes r changes 2 times of it. That is:  θ      r 0…

Q: Find the exact length of the polar curve described by: r = 7e-0 3 on the interval 10

A: r=7e-θ,    310π≤θ≤6π Differentiating with respect to θ, we get drdθ=7-e-θ=-7e-θ

Q: What curve is represented by the polar equation r = 2

A:

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

A: