Find 1 in polar form. Z2 -BV5 (cos(T)+i sin(m); 22 = V cos +i sin

Q: Convert the given functions into the desired coordinates. (a) 2x-5x³=1+xy into polar coordinates,…

A: We have convert the cartesian in to polar and polar in cartesian

Q: Use the identity cos 20 = cos² 0 – sin² 0 to find a polar equation of the hyperbola x² – y² = 1.

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Q: Identify the coordinates of the point in polar form based upon the given conditions. Use pi for T. r…

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Q: A Moving to another question will save this response. Question 13 Replace the polar equation with an…

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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: Use the identity cos 2θ = cos2 θ − sin2 θ to find a polar equation of the hyperbola x2 − y2 = 1.

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

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Q: convert to an equation in polar coordinates of the form r = f (θ ).  ln x = 1

A: Polar coordinates are the coordinates in 2-Dimensional plane where x coordinate gives us the…

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

A: Plug x=rcosθ and y=rsinθ

Q: Find a polar form of the equation. 5x – 3y = 9 sin(50)cos(-30) = 3 OS

A: Given equation5x -3y =9         ----(1)To convert the given equation to polar formsubstitute,x = r…

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: 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: Evaluate the polar coordinate E| 4r2 cos 0 rdrd0.

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Q: Find the slope of the polar curve at the indicated point. A) B) T= -8 cos(0) - 6 sin(8), 0 = 3 D) 4…

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Q: 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

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Q: Write the equation (2² + y²)² = 10 xy in polar coordinates. a) Or? = 10 cos(2 0) b) Or? = 10 sin(0)…

A: We know that For conversion to polar form from cartesian equation. x=rcosθ y=rsinθ  Put these values…

Q: Assume 0 <0< T. The number of points where the two polar curves r = cos (0) and r = sin(0) intersect…

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Q: 3 Convert the equation y = -x to polar form. 3 Then solve the resulting equation for 0. e = 0

A: Explanation of the solution is given below....

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: Test the following polar equation for symmetry with respect to the polar axis, the pole, and the…

A: we have been given the polar equation  r=4+8cosθ we have to show the symmetry with respect to the…

Q: 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

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Q: nd the Cartesian form of the polar equation sin(20). r3

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Q: Find zw and Leave your answers in polar form. z=7 cos-+i sin COS 4 元 w=7 cos COS +i sin

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Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an…

A: The polar equation is r=2+3sinθ. Recall that fact that x=rcosθ,y=rsinθ. That is,…

Q: Q5/ Change the polar equation 2r = 2 + cos 0.(2r-1) to Cartesian equation Ans./y²-3x² - 4x-1=0

A: To find- Change the polar equation 2r = 2 + cosθ·2r - 1 to Cartesian equation.

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: 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: .2 Convert the equation X +y“- 36= 0 to polar form. 2 Then solve the resulting equation for r. JT

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Q: xy = 1

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Q: Q2: Sketch the polar function r 3 6 cos 30 ,-n<0 < m

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Q: 4. Find a polar equation for the curve represented by the Cartesian equation y = 3x. T = r cos 0, y…

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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: 2 Convert each of the following into an equation in the given coordinate system. A) Covert 2x-5x'…

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Q: Q 2. (a). Express z= 3+ V3i in polar form.

A: Answer (a) We know that if x=x+iy    z=r=x2+y2 ∅=tan-1 yx   x=r cos∅ and y= r sin∅the polar form of…

Q: Test the following polar equation for symmetry with respect to the polar axis, the pole, and the…

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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: Find zw and W Leave your answers in polar form. - TC TO Z= 6 cos + i sin 11 11 TO W = 6| cos COS + i…

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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: Convert the given Cartesian equation into a polar equation. y = 6x + 3 Select the correct answer…

A: x=rcosθ, y=rsinθ. Use these values to find out result.

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: A particle moves along the polar curve r =1– 2 cos 0 so that = 2. Find the value of d at e = , and…

A: We are given that,                     Now,              When          , Then

Q: cos (0.48-j0.38) express in polar form

A: we have to express cos 0.48-j0.38 in polar form: we know that cosx-jy=cosxcoshy+jsinxsinhy Now, here…

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: 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: find the prduct of Z1Z2 and the quotient of Z1/Z2. Express your answers in polar form.…

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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 polar curve at the indicated point. A) V3 r = 1- sin(0), 03= 3 C) 2

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Q: For the polar equation r = 4+ 2 sin 0 :

A: We have r=4+2sinθ A graph is symmetric about x-axis if rθ=r-θ A graph is symmetric about y-axis if…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.