Question Help: M Message instructor Question 4 C 0/1 pt O Details (G) Find the slope of the tangent line to polar curve r = 5 sin 0 at the point SUBMIT A PHOTO OF YOUR HANDWRITTEN WORK HERE

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A: Given data: x(t)=3-8sin(3t) y(t)=9+8cos(3t) for 0≤t≤π4 Solution: Length of parametric curve is given…

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A: Given A large metal disk with radius of 1m has been made i.e. r=1 and ρx,y=2+6xy and θ=0 to θ=π3

Q: P=(x, y)=(r· cos 4, r.sin 4) = dyldo dx/do %3D Formula: a%dx. dx/do %3D Sketch a the rectangular…

A: Sketch a rectangular plot, sketch a polar graph, find the slope and inclination of the tangent line.…

Q: 19. r = cos 20, 0 = "/4 I|

A: Since question 18 is incomplete so i have to do 19  As per guidelines we have to solve one question

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Q: x = 2 + 5 cos t Consider the parametric equations for 0stsa. y = 8 sin t

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Q: e polar equation for the curve whose rectangular(cartesian)equati 8. (b)r² . =)rcos@sine = 4 4 (c)…

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Q: A large metal disk with radius of 3 m has been made. The density of the metal disk is given by p(x,…

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Q: An arrow is shot upward, with an initial velocity of 93 meters per second, at an angle of 32° with…

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Q: Previous Question The letters r and 0 represent polar cool equation using rectangular coordinates…

A: Given, r=12/(1-cosθ) rectangular coordinates (x,y)= ?

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Q: A curve has polar equation r = - 0 + T <0<2n. Find the exact value of area enclosed by the curve,…

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Q: (a) Given the polar equationr = -4 cos 0. Write the polar equation as a Cartesian equation. (b)…

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A: Let P be a point at a distance D from the center of a circle of radius R. The curve traced out by P…

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A: “Since you have asked multiple question, we will solve the first question for you. To get remaining…

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Q: Quèstion 5 Find a polar equation for the curve represented by Cartesian equation x? = -18y. O A.r =…

A: We have to convert the cartesian equation to polar equation.

Q: Consider the polar curve r = sin? (0), for 0 E [0, 2n). (a) Find the tangent line to the curve at 0…

A: Find the tangent line

Q: Find a polar equation for the curve represented by Cartesian equation x? = -13y. O A.r = 169 sin…

A: Given cartesian equation  x2=-13y We have to convert it into the polar equation.

Q: The parametric equations: x = a cos 0,y = a sin 0;0 <e < 2n, define a curve called an asteroid

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Q: a) on a polar graph paper, sketch the curve given by r=2sin (e) b) Find dy Gnd explain how dx you…

A: Consider: r=2sin θ. Plot the graph of the function r=2sin θ Construct Table of values: θ r=2sin θ…

Q: Consider the polar curve r = 0 + sin(0). Rewrite the polar curve as a parametric curve, i.e., find…

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Q: A curve is described by the equation in polar coordinates r = 4 cos² 0. Determine r(0) and dr 57…

A: To find the first solution, just use the trigonometrical identities and easily find the required…

Q: P=(x, y)=(r , cos4,risin 4) %3D Formula: a%dx = dy/dodx/do xp, Sketch a the rectangular plot of…

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Q: Find the slope of the tangent line to polar curve r = 6 sin 0 at the point 2 y = 1.5 + (a - 1.5/3…

A: Find the slope

Q: | (a) To find the arc length L of the polar curve r = f(0) (a <0< B), we can use the formula L=. (b)…

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Q: nèstion 3 Find a polar equation for the curve represented by Cartesian equation x? = -20y. OAr = 400…

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Q: Given the polar curve r= sin(0) + sin(20) a) Neatly sketch the polar curve. To capture all the…

A: The given function is: θ π12 2π12 3π12 4π12 5π12 6π12 7π12 8π12 r 0.8 1.4 1.7 1.7 1.5 1 0.5 0…

Q: consider the curve represented by the parametric equations: x=2t-10*sin((pi/6)*t), y=t. (a) Sketch…

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Q: Find the exact length of the polar curve. r = theta^2,    0 ≤ ,theta ≤ pi/4

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Q: Question 1 of 8 - /5 View Policies Current Attempt in Progress Find the arc length of the parametric…

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Q: Consider the polar curve r = sin 0. a. Find an equation for the tangent line to the curve at 0 = 3…

A: given polar curve is                                       r=sinθ we know that…

Q: a) A curve has the parametric equations given as x = 4+2 cose y = -2+3sin 0. i) Convert the…

A: Given, x=4+2cos θ,  y=-2+3sin θ By solving these two equations for cos θ and sin θ, x=4+2cos θ⇒cos…

Q: 4/3 T Find the slope of the tangent line to polar curve r = 4 sin 0 at the point Question Help:…

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Q: Question 20 Find the length of the curve. Hint: Use the Arclength formula for parametric equations…

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Q: Find the area of the shaded region, where the polar curve is given by r = sin(40). You may need to…

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Q: 23 A curve with polar equation r = 4 sin 0+ 13 cos 0 represents a line. This line has a Cartesian…

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Q: Question 2 (c) dv for the parametric equations. dx Determine 3c 3c2 1+ c³' Find the coordinates of…

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Q: Question 3. The parametrization of a curve C is given by r(t) (a) Find r' (π/6). = (sin(t), cos(t),…

A: To find parametric equations of the tangent line to the given curve.

Q: Help

A: Given the function in polar form :

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Q: Question 13 For 0<t< 13, an object travels along an elliptical path given by the parametric…

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Q: Find the slope of the tangent line to the parametric curve x = 4 cos(t) T at the point 6 = 3 sin(t)…

A: The given parametric equations are    x = 4 cost y = 3 sint At Point t =  pi/6