4. Draw the polar curve defined by r= 3 –2 cos 30.

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

A: Given:

Q: 3. Draw the polar curve r = 1+3 cos 30

A: THE POLAR CURVE OF THE GIVEN FUNCTION r=1+3cos3x will be,

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

A:

Q: 3. Draw the polar curve r = 3 +sin 30

A: Solution: The objective is to graph the polar curve r=3+sin(3θ)

Q: The length of the polar curve curve r=5 cos4 OS e S 2n is equal to 80 3 20 3 40 O 20 160 3

A:

Q: Find the exact length of the polar curve described by: 9e -0 on the interval

A:

Q: 18. Find the exact length of the polar curve.r= 4 sin 0 ,05OST 4

A:

Q: Find the exact length of the polar curve described by: r = 5e 7 on the interval 2 0.000118

A:

Q: 9. Transform the equation 2x?+2y?3 into a equa tion. Polar

A: Given

Q: Sketch the curve with polar equation r = 2 cos0

A: We first make a table of values θ 0 π/4 π/2 3π/4 π r 2 1.41 0 -1.41 -2

Q: Draw the polar curve r = cos(30) with its orientation. Set up all integral to evaluate the length of…

A: First, find the node to the polar curve by equating r = 0, so cos(3θ)=rcos(3θ)=0(3θ)=-π2,π2θ=-π6,π6…

Q: What is the length of the polar curve below? = 2 cos(0) for 0 sos 4

A:

Q: Given: polar curves C₁ : r = √2- cos 0 and C₂ : r = √2+ sin intersecting at A(³√2, 37) and B(2,7) 2…

A:

Q: Find the exact length of the polar curve. = 02, 02, os 0s 2A

A: Given polar curve is and

Q: Which of the following shows the correct sketch of the polar curve r = -9+ 9 sin(0)? 15 5 -15 -10 -5…

A:

Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines √2 x +√2 y = 6

A: Given equation of the line is 2x+2y=6 To change the equation of line to polar equation, we use…

Q: b. Plot the polar curve r=2(1- cos0) in interval n

A: r=2(1-cosθ) in the interval π , 2π

Q: 9. Sketch the polar curve. r = 2 cos 2 0

A:

Q: Find the slope of the polar curve at the indicated point. r -6+5 COs o 2.

A:

Q: Draw the polar curve r = 2 – 4 cos 50

A: The given equation is a polar curve equation in which r represent the distance of point from origin…

Q: Calculate the distance around the graph of the polar curve r = 3sin 0. O 67 o 37 O 16

A:

Q: Find the exact length of the polar curve. r = e20, o < 0 < 2n

A:

Q: Find the exact length of the polar curve. r = e80, 0 < 0 < 2n

A:

Q: compute the length of the polar curve.  The cardioid r = 1 − cos θ in Figure 16

A: compute the length of the polar curve.  The cardioid r = 1 − cos θ

Q: Show that every line that does not pass through the origin has a polar equation of the formr =…

A:

Q: Compute the length of the polar curve. r = 1 + θ for 0 ≤ θ ≤ π/2

A: It is given that,  r=1+θ  for    0≤θ≤π2

Q: Find dy/dr and the slopes of the tang ent lines shown on the graph of the polar equation r = 2+3 sin…

A: According to question, r = 2 + 3 sin θ

Q: Consider the curves: r = 4sin 0 and r = 2 sin(0) + 2cos (8). a) Sketch a graph of both curves on the…

A:

Q: Draw the polar curve to ((x-3)2/32) - (y2/32) = 1

A: We have to draw the polar curves to x-3232-y232=1.

Q: 7) Find the points at which the polar curve r = 1+ cos® have horizontal or vertical tangent lines.

A:

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

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: Find the length of the curve over the given interval. Polar Equation Interval r = 5 cos(6) 2

A: To find the length of curve

Q: Consider the polar curve r=2sin(30) for 0s0sn.

A: Given polar curve is r=2sin3θ for 0≤θ≤πfind the area of the region inside the curve

Q: Which of the following shows the correct sketch of the polar curve r= + 5 cos 0? 4 -6 -4 6 -4 6. b)…

A: r = -(5/2) + 5cos(theta) curve

Q: Which of the following shows the correct sketch of the polar curve r= -2 cos(3 0) for 0 <0 < ? 10 -…

A: Use Desmos graphing calculator. Option (b) is correct.

Q: compute the length of the polar curve. r = cos2 θ

A:

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

A:

Q: Compute the length of the polar curve 702 for 0 s 0 < 4.

A:

Q: The graph of the polar curve r=4cos0 is

A:

Q: Calculate the length of the polar curve r=1- sin Oon the given interval (0, 2m].-

A:

Q: Make a graph of the following curve using polar graph paper r = 3 – 3cose. CL

A: Given function is

Q: 36 r= e®,-π <θ <T

A: Consider a function f such that its derivative is continuous in the interval α≤θ≤β. Then the length…

Q: 9.5. If s1 = aj + ib¡ and s2 = a2 + ib2, and s182 = (a¡a2 – bịb2) +i(a¡b2 +azb¡) use the fact that r…

A:

Q: A curve in polar coordinates is given by: r= 8+2 cos 0. %3D

A: Given r=8+2cosθ and  P is a point at (r, θ) with θ=18π16=9π8 (a)  to find the  r coordinate of point…

Q: Which of the following shows the correct sketch of the polar curve r = 9 – 9 cos(0)?

A: We have to do following steps to solve it.

Q: Find the length of the polar curve r = 5°; 0 <e< 2n

A: Given ,r=5θdifferentiate w.r.t.θdrdθ=5θ.ln(5)Weknow that length of the curve…

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: We have to find the slope of the tangent line to the polar curve  r = cosθ3 at the point θ=π.

Q: Which of the following shows the correct sketch of the polar curve r= 4 cos(3 0) for 0 <0<- 10 5 a)…

A: Given:            Polar curve   r=4cos3θ ,  0≤θ≤π2      Using the formula  r=asinnθ or r=acosnθ…