2π • (2=) b. (3,-) a(-s-) d.

Q: Q17:- In polar coordinates prove that** 第。

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Q: In Exercises 23–38, find parametric equations for the given curve. 25. 4x - y2 = 5

A: For the given curve:                                     4x-y2=5   To determine:…

Q: For Exercises 15-18, plot the points whose polar coordinates are given. 18. d. (-s. 57 -5, 6.

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Q: Use polar coordinates to calculate e-(z²+y²) dydx. roo Express -(2²+y²) dydx in terms of dr, and…

A: We will find out all the required values.

Q: For Exercises 19-22, given a point in polar coordinates, find two other polar coordinate…

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Q: express in polar coords with: Cりり me point whose Ty-Coords are a.r>o and OsoL2

A: Introduction: The polar coordinates r,θ of rectangular coordinates (x,y) in two-dimensional…

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

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

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Q: For Exercises 15-18, plot the points whose polar coordinates are given. 16. d. -3,

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Q: Replace the Cartesian equation with an equivalent polar equation. x² + y² - 4x=0 O A. r cos²0=4 sin…

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Q: Find the length of the curve r = 2 sin^3 (u/3), 0<=u<=3pai, in the polar coordinate plane.

A: To determine the length of the polar curve.

Q: 2. Use calculus to show that these polar curves intersect at right angles. = sin 0, r = cos 0

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Q: Consider the curve C given in parametric equations as

A: In this question, we find the tangent line and normal line along with that we find the point where…

Q: For Exercises 7–10, graph the polar equation and identify the type of curve. 7. r = 2cos 30 8. r = 2…

A: A polar equation always has variables r which is radius and θ which is the angle subtended and…

Q: Find the analogous polar equation for horizontal lines in the xy-plane.

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Q: x = e-', y = e2t – 1

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Q: Cannot solve

A: To convert rectangular equation into polar equation put x = r cosθ and y = r sinθ then rearrange the…

Q: For Exercises 1-2, given a point in polar coordinates, find two other polar coordinate…

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Q: Find parametric equations for the line segment joining the points (9, 8) and (16, 11). O x=9+7t, y…

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Q: In Exercises 23–38, find parametric equations for the given curve. 30 31. Line through (3, 1) and…

A: Consider the points of line, (3, 1) and (-5, 4) To calculate the equation of line passing through…

Q: For Exercises 33–38, convert the ordered pair in rectangular coordinates to polar coordinates with…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: For Exercises 7-14, match each point in polar coordinates to the points A, B, C, or D. (-1) (3.-)…

A: Solution:Given A 3,π6     B 3,3π4     C 3,-π6     D -3,π4To match each point in polar coordinate to…

Q: 3. Express the equation y = mx + b, where m and b are constants, in plane polar coordinate.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 3) (2) 2 3 元16 2 " 11元 6 57元 6 3 2

A: We have to plot a given point in the graph.

Q: x = 12 + 3 y = 2t [-2, 2]

A: Substitute t value

Q: When a polar function is symmetrical about both the x- and y-axes, why is it also symmetric about…

A: Given that the polar function.

Q: For Exercises 15–18, plot the points whose polar coordinates are given.

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Q: 2) Use polar coordinate dydx (1+ x² + y° )'?

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Q: What are the rectangular coordinates of the point with polar coordinates (r, 0) = (-10, (x, y) Enter…

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Q: What are the polar coordinates (r, 0) of the point with Cartesian coordinates (x, y) = (v2, – V2) ?…

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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: For Exercises 19-22, given a point in polar coordinates, find two other polar coordinate…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Show that every vertical line in the xy-plane has a polar equation of the form r = a sec u.

A: The relation between polar coordinates r,u and rectangular coordinates x,y is x=rcosu…

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 3x + 4y +…

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

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Q: Find the polar coovdinates rectanguar coordinak es the point whose (x,y)= LI,}) are

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Q: Find the lengths of the curves given by the polar coordinate equations in Exercises 51-54. 51. r =…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: compute the length of the polar curve. r =√1 + sin 2θ for 0 ≤ θ ≤ π/4

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Q: •5 25-x2 Evaluate (x² + y? )° dy dx by converting to polar coordinates.

A: To evaluate the integral using polar coordinates

Q: Please help me with this problem

A: Parametric equation:

Q: 27 18. а. 2. 3 b. (3, -я) «(-4) с. d. (-5,

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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: 1. What are the rectangular coordinates of the point with polar coordinates (r, 0) = (4, 45°)? (x,…

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Q: Find the corresponding Cartesian equation of the parametric equation       x=3cosθx=3cosθ.…

A: Given:           x=3 cos θ,   y=4 sin θ            0≤θ≤2π From: x= 3 cos θ            cos θ=x3 From:…

Q: 3. What is the parametric equation for the line through the point (1,2,3) parallel to the y - axis?

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Q: Give a parametrization of the left half portion of the polar curve described by the equation r = 3.

A: Give a parametrization of the left half portion of the polar curve described by the equation r = 3.

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

A: Given equation is r=2(1-cosθ)  =2-2cosθ

Q: Find the polar equation for the Cartesian curve ² Or 1 T= cos 2 1 Or=sin @tan 0 2 T = Or= Or T = 1 1…

A: The given cartesian curve x2=y2 we have to find the polar equation

Q: For Exercises 35-42, use the results of Exercises 27–30 and use the parameter t to write parametric…

A: we have to find the parametric equation of the given curve by using the parameter t. the given curve…