3. Justify your answer to part 2 by converting polar equation to rectangular equation. =2/sin 0 t / 4 T /3 A-0 t /2 2π 3 3π/4 5π/6 3n / 2

Q: Find the slope of the line tangent to the polar curve at the given point. 9 11t r= 9 sin 0; 2' 6

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Q: 12/2 Use polar coordinates to evaluate dydx. 3 0. (x² + y²)²

A: To convert cartesian coordinates to polar coordinates , put x=rcosθ, y=rsinθ , dydx=rdrdθ So,…

Q: The polar equation 9 cos 0 +2 sin0 = in Cartesian form is defined by I Y A. C. 9x +2y=1 +/-/22 - 1 9…

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Q: 7. The polar equation of the curve r + y² = 2x is r= 2 cos 0 T= sin 20 T= 2 sin 0 D T= cOs

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

A: Given

Q: Show that the polar equation for x2/a2 + y2/b2 = 1 is                                           r2 =…

A: Plug x=rcosθ and y=rsinθ

Q: Find a Cartesian equation from the polar curve 4r sin 0 = 18(rcos 0) +14 1S is

A: Given polar equation is 4rsinθ=18rcosθ2+14  .....1

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: The polar equation 9 cos 0 + 2 sin 0 = X + 1 9x + 2y 1 9y + 2x = 1 9x + 2y = x² + y² || || 1 - r in…

A: To find  the cartesian form of the given polar equation.

Q: 1. Convert (V3,-3) from rectangular to polar coordinates with r>0 and 0<0< 2r. Give exact values for…

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Q: 6. O Convert the quation aty z+y froui cartesian to polar (10 P.) (u) Convert the equation r - 2 sme…

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Q: 10 Convert the Cartesian equation 2 xy = 1 in polar equation form. r²cos2θ = 0 cosθsinθ = 1/2…

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Q: 1. Change ſ, Lz xy dydx to polar form. 4-x2

A: We will answer the first question as we don't answer multiple question at a time. Please resubmit…

Q: Replace the Cartesian equation x² + y² equation. OA) r sin² 0 = 4 cos 0 B) r = 4 sin 0 Oc) r = 4 cos…

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Q: Match each equation in rectangular coordinates with its equation in polar coordinates. x² + y² = =…

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Q: 37. The Cartesian equation of the polar curve 2 = 2a' sin 20 is A. 1? + y? = 4a²xy B. (z* + 3° )° =…

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Q: (6 cis 120°)(4 cis 30°) is equal to? answer should be in polar form also

A: (6 cis 120°)(4 cis 30°) is equal to? answer should be in polar form also

Q: Convert the Cartesian equation xy = 1 to a polar equation. r² = sinθcosθ  r² = tanθ r² = secθcscθ

A: Given problem:- Convert the Cartesian equation xy = 1 to a polar equation.   r² = sinθcosθ  r² =…

Q: Eliminate the parameter from the parametric equations: x = 3 sin t y = 2+ cos t The resulting…

A: Given :                Consider the parametric equations :                       x = 3 sin t…

Q: Convert (x + 2)² + y² = 4 to polar form. Drag and drop an answer to each box to correctly complete…

A: Let's find.

Q: Match the graph with its polar equation. r = 3 (1 + cos(0)) T/2 1/2 4| -2 2 4 -2 -2 л/2 T/2 3- 2 1…

A: Topic :- Geometry As per our guidelines , In case of multiple different questios ,at a time only one…

Q: = Replace the polar equation 8r cos 0 + 9r sin 0 Cartesian equation. OA) 8x +9y = 1 B) 8y + 9x = 1…

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Q: Find the equation of the tangent line to the polar curve r = 3 + 8 sin θ at θ = π/6. Note that…

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Q: Q4: Replace the following polar equations by equivalent Cartesian equations 1- r sin 0 -1 2- r= - 3…

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Q: Given the polar curves: C₁:r = 2 cos 0 ग 2 A(2,0) C2 B(0,0) C₂:r = 2 cos 30 Find the Cartesian…

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Q: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

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Q: 1) (a) Convert BOTH of the below equations from either polar to rectangular or rectangular to polar.…

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Q: Find the slope of the line tangent to the following polar curve at the given point. 3π r= 5-5 sin 0;…

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Q: Into polar coc x2 + y² = 3x %3D

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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: The Cartesian equation xy=1 is equivalent to r^a sin(2theta)=b in polar coordinates what is a+b=

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Q: Eliminate the parameter from the parametric equations: æ = 3 sin t y = 2+ cos t The resulting…

A: Given: x=3sint                                                                   ..1y=2+cost…

Q: H.W 1-Replace the polar equations with equivalent Cartesian equations 1). r = 2+sin 0 2]. 3]. 4].

A: Given that  r=2+sintheta  To covert the polar equation into Cartesian equation

Q: x = 4 cos t and y = 4 sin t 0sts 4

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Q: Find the equation in xx and yy for the line tangent to the curve in polar coordinates…

A: Given that, the value of r=5+cos2θ and θ=π3. rθθ=π3=5+cos2π3=5+-12=92 Note that, the equation of the…

Q: Convert the polar equation to a rectangular equation. r= 6 cos e + 5 sin 0 О х2 - у2 - 6х + 5y O x²…

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Q: 44. The furthest point from the pole to the polar curve r = 2+ V2 sin 0 occurs when 0 = A. в о C 2

A: Answer

Q: What is the polar form of the equation? (x + 2)² + y² = 4 O r(r+4sin 0) = 0 O p2 = 4r cos O O r(r+4…

A: We transform the equation by putting the formula.

Q: Express the given equation in polar coordinates. 16xy = 121 121 ? cos 0 sin 0 = 8 121 r² tan 0 = 16…

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Q: . Show that the equations x = r cos 0, y = r sin 0 transform the polar equation 1 + e cos 0 into the…

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Q: What is (x - 12)² + y² = 144 in polar form? r = 24 sin 0 r= 24 cos 0 O Option 1 r= -24 sin 0-144…

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Q: 2. Convert Polar Equation to Rectangular Equation. 1 r = sin 0 – cos 0

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Q: 3) Use polar coordinate to evaluate S'S_√x² + y² dxdy.

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Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 1]. r = 4 sin 0

A: To convert the given polar equation to Cartesian equation, we make the substitution  x=r cos(θ), y=r…

Q: Convert the rectangular equation 2x - 4y = 5 into polar form. 1 O r = 2 cos 0-4 sin 0 5 Or 2 sin 0-4…

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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: 5 Convert the equation from polar to cartesian. r = sin 0 – 2 cos 0 -

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Q: Find the polar equation for the curve represented by the equation y = 1+ 3x. A 1 ,0) sin 0-3 cos 0 В…

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Q: Write a polar equation of the formr cos(0 – 0) = ro for the line x - V3y = 2.

A: We have to solve given problem: