Q3: What symmetries do this curve have?? r = cos² 0

Q: Find the arclength of y = 2a/2 on 1 <a< 2

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Q: (x²+2)³/2 -; [0,1] y = 3.

A:

Q: 6. Find the length of the curve r = 1+ cose

A:

Q: Draw the following curves by extracting their points and then identifying their symmetries Y= Sin ()…

A:

Q: Sketch the polarc curvey a. rasin?D. b. r= ccslo- aiat

A: a. Plugging values for theta to obtain corresponding r: Graphing the polar curve using the above…

Q: Find the lengths of the curves The curve r = cos3 (θ/3), 0 ≤ θ ≤ π/4

A: Now,

Q: 4. a) Find the entire are length of the curve r = 2a cos³ (0/3).

A: 4a Given curve is r=2acos3θ3. We have to the entire arc length of the given curve. The entire arc…

Q: the length of the curve r = V1+ cos 20 for – -sos.

A: In this question, the length of the curve is to be determined. Length of Curve The length of the…

Q: Find the length of the curve: 7= Scos 4. t2.

A:

Q: Give a rough sketch of the graph of the curve r= 1+ cos40, 0 < 0<2r.

A: The given curve is  r=1+cos 4θ,  0≤θ≤2π

Q: Find the arclength of y = 2a³/² on 1 < æ < 2

A: Answer is mentioned below

Q: Identify the graph of the curve by first sketching the graph of r as a func Cartesian coordinates. r…

A: r=2-2cos(θ)

Q: II. Find the length of the following curves. (a) x = 2t , y = cos 4t, 0 <t <

A: Given:    x = 2t    y = cos4t    0 ≤ t ≤ π/2

Q: • Graph the cardioid r a(1 + cose), a <0? • Graph the cardioid r = a(1+ sin6), a < 0? Graph the…

A: Graph are given below:

Q: For r=sin40, (i) sketch the curve. (ii) Find the area of one loop of the curve.

A:

Q: Q2/ Identify the symmetry of the curve r= sin e + cos e. Then sketch the curve in xy-plane.

A: Given: r=sin θ+cos θ The symmetry tests for polar graphs. 1. Symmetry about the x-axis: If the point…

Q: Trace the curve r^2 = 4cos^4ꝋtan^2ꝋ.

A: Plotting the curve:                         r2=4cos4(θ)tan2(θ)   Taking square root both sides for…

Q: 2) identify the symmetries of the following curve then sketch it. r=4 cos (3 0)

A: We have to find the symmetry of graph

Q: Find the arclength of y = 3r/2 on 1 < a < 3

A: As we know that the expression for the arclength is:   l=∫x1x21+dydx2dx...(1)   Given: y=3x32x→1 to…

Q: Find the points on the curve 5x + 5y? - 6xy - 6xy = 4 nearest to the origin.

A:

Q: Find the arc length of the 2 (0 curve r = 2sin²(-) 0 = 00 = T Select one: 4 6. 7 8

A: The solution as follows

Q: Find the length of the curve. r(t) (7t, 3 cos t, 3 sin t), -2 sts 2

A:

Q: Prove that the curve y:(-,) → R³ is regular with factor H and determine whether the image y (t) = (2…

A: To determine : the      included in a plane in   or not. Here,…

Q: C) Find the arc length of the curve y-1-6x², 0≤x≤1

A:

Q: Find the length of the following two-dimensional curve. r(t): = (cos t, sin t) , for 0stsT The…

A: The formula for finding the length of the curve is explained in step 2 with a general observation…

Q: Find the length of the following two-dimensional curve. π 3 r(t) = (3 cos ³t, 3 sin ³t), for Osts- 4

A:

Q: Q3: Find and classify all fixed points and plot the portrait on a circle for the system 0 = 2 + 2…

A: Given equation is θ.=2+2cosθ. We have to find and classify the fixed points of this system. Then…

Q: Find the length of the curve. r(t) = (9t, 3 cos(t), 3 sin(t)), -5 sts 5

A: To determine the length of the curve.

Q: Forz =x+jy determine the equation of the loci in the Argand diagram of: arg- %3D 4

A:

Q: Trace the curve: r^2 = 4cos^4ꝋ tan^2ꝋ

A: The equation given in the question be, r2=4cos4θtan2θ Take square root on both sides implies,…

Q: Find all points of intersection of the curves r = cos 2 θ and r =1/2

A:

Q: Consider C(t) = -2i + 2eit, 0 ≤ t ≤ 2π. Is C an arc? Is C a simple arc? Is C a simple closed curve?

A:

Q: 6. Trace the curve r? = 4cos*etan?e. %3D

A: The equation r2=4 cos4 θ tan2 θ can be resolved to get two equations:  r=±2 (cos2 θ)(tan θ)=±2(cos…

Q: Please help

A: EXPLANATION a) not form inner loop b)      form an inner loop This form inner loop

Q: A curve has an equation of 9x2 + 25y2 = 225. Compute the second eccentricity of the curve. %3D 1.33…

A:

Q: Q4 :- Find the area inside one leaf of the curve r=cos 20.

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: 1 Find the arclength of the curvec= 3. twith 5 <t <7. 2

A: and the given interval is  so lower and upper limit is

Q: The given curve is rotated y = 3 - x2,

A:

Q: Q3: What symmetries do this curve have?? r = 1+ cos² 0

A:

Q: Find the arclength of the curve z = with 4 <t<7. %3| %3!

A:

Q: the Q2, Find hergth of o polor Curve ア= B4 Use this formula dr de

A: Given:  The polar curve is given byr=eθ2 To Find:  To find the length of the given polar curve by…

Q: Find the curva tuie For He Curve 2+); +(6 cos 2t) + 5¢ K %3D

A:

Q: Find the length of the curve. r(t) = (3t, 3 cos(t), 3 sin(t)), -3 sts 3

A: For the curve r(t) = f(t) , g(t), h(t)On the interval [a, b]The length is given by L =…

Q: What symmetries do these curves have?? r² = 1 – sin 0

A:

Q: the arclength of the curve y = on 3

A: We will solve the problem.

Q: 3. Plot both the following curves on the same set of axes. r = 5 - 4 cos e and the parabola y = r.

A: Given

Q: Sketch the curve r= cos 2θ

A: Symmetric test for polar coordinates r=f(θ): If f(θ)=f(-θ) then graph is symmetric about polar…

Q: 9. Find the length of the curve: r = 1+ cos(28),0 < 0 < 2m

A:

Q: Which graph is the one described by the set of parametric equa Sz = t ly = t³ %3D for -0<t < o∞ ?…

A: Given:  x = t , y = t3