Write the corresponding rectangular equation by eliminating the parameter 0 x = 5 +3 sec 0 y = -3 + 4tan0

Q: convert to an equation in rectangular coordination r = 2 sin θ

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Q: For the parametric equations: x = 23e-4t and y 44e5t dx (?)

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Q: the equation z=sqrt((x^2+y^2)/2) in spherical coordinates

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Q: Convert the following point from cylindrical to rectangular coordinates: 11T ,4.5 6 10,

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Q: Change the equation to rectangular coordinates. r = 4 sin 0

A: Given: r=4 sin θTo change the equation into rectangular coordinates

Q: write the rectangular equation x=y^2 in cylindrical form and solve for r

A: To go from rectangular to cylindrical form we have to use the form

Q: Eliminate the parameter in the equations: x = 3 cot t and y = 3 csct %3D

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Q: Write the equation with rectangular coordinates. r= 5sin(theta)     y2=__________

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Q: For the parametric equations: 22e2t and y = 47et

A: Derivative: - The derivative formula is one every of the foremost fundamental notions in calculus,…

Q: Convert the given equation, -z2- y2 +=1, z20 to an equation in cylindrical coordinates.

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Q: photo attached

A: Given:

Q: Given the parametric equations, x = 3/t and y = t - 2, eliminate the parameter. y = --2 y = +2 y =…

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Q: Sketch the line and find Cartesian equations for it. r cos (u + 3pi/4) = 1

A: Given rcosu+3π4=1 The cartesian coordinates are  x=rcosθy=rsinθ The trigonometric identity used here…

Q: Rewrite the following parametric equation in rectangular form. x = 4 – t y = 7 + 4t

A: Given equations are : x=4-ty=7+4t

Q: Convert the rectangular equation to polar form  x^2 + y^2 = 64

A: To get polar equation substitute the value of x and y in the rectangular equation. x=rcosθ y=rsinθ

Q: Find a rectangular form of the equation. r = tan 0 ? +y? = .2 %3D

A: Please refer the attached image for complete Solution.

Q: State the formulas for converting rectangular to spherical coordinates.

A: Converting rectangular to spherical coordinates.

Q: Change r2 =9 sin 2u to rectangular coordinates.

A: given: r2=9sin2u we have to change it into rectangular coordinates. as we know that in rectangular…

Q: Convert the following point from rectangular to spherical coordinates:

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Q: Find two different sets of parametric equations for the rectangular equation y = x2 + 4.

A: To find the set of parametric equations

Q: Eliminate the parameter in the parametric equations a(t) = –8t – 9 and y(t) = –32t + 9 to write a…

A: Given parametric equations, x(t)=-8t-9 y(t)=-32t+9

Q: Write the equation in spherical coordinates. (a) 5z? = 3x² + 3y?

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Q: Use t = 4x + 1 to write the parametric equations that can represent y = 12x + 5. Ox-y=31-2 Ox-4:…

A: Given that:t=4x+1To find parametric equation for y=12x+5

Q: By eliminating the parameter t, sketch the following parametric equations x=5sint and y=6cost..

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Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for Sa(t) =…

A: Cartesian Equation of a Line: The equation of a line in cartesian form is given by y=mx+c, where m…

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x= 5 y= f10…

A: Write the following parametric equation in cartesian equation

Q: Convert r= 3 sec e to its equivalent Cartesian equation.

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Q: Find the rectangular coordinates of the point, whose cylindrical coordinates are given. (a)    (8,…

A: ρ, θ, z=8, π4, 3⇒ρ=8, θ=π4, z=3  Now rectangular coordinates are, x=ρcosθ, y=ρsinθ, z=z⇒x=8cosπ4,…

Q: Convert the rectangular equation to polar form. (x² + y?j2 = 6(x² – y?)

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Q: Convert r = 3sin(θ) to an equation in rectangular coordinates.

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Q: Write the parametric equations x = 2 sin? 0, y = 9 cos? 0 in the given Cartesian form. y = with 0 <…

A: Simplification of the functions helps to find the parametric equation. Trigonometric identity…

Q: Eliminate the parameter t to rewrite the parametric equations as a Cartesian equation Į x(1) = (t –…

A: Given equations x(t)=(t-1)2 y(t)=e3t To convert given equations into cartesian equation we need to…

Q: convert r=4/2+sin(theta) to a rectangular equation

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Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. Sx (t) = -t ly…

A: See attached file for a step by step explanation to find the Cartesian equation.

Q: Consider the parametric equations x = √t − 2 and y = (1/ 2)t + 1, t ≥ 2. What is implied about the…

A: Consider the given parametric equation as x=t-2 and y=12t+1

Q: x = tan? 0 and y = sec? 0

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Q: Find two sets of parametric equations for the given rectangular equation. y = 8x + 4

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Q: Convert the following rectangular equation: x^2 + y^2 = z^2 into spherical coordinates.

A: Given equation is x2+y2=z2  ....1

Q: X = tan?0 3) Eliminate the parameter and write the corresponding rectangular equation: y = sec?0

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Q: Replace the Cartesian equation (x+ 4)² + (y- 2)2 = 25 with equivalent polar eauation

A: Ans :   we will convert this given cartesian equation in polar equation  by putting - x = r cosθ…

Q: Write the parametric equations x = 4t – t³, y=2 – 3t in the given Cartesian form.

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Q: Find two different sets of parametric equations for the rectangular equation  y = x2

A: y=x2 Let x=3t, then y=3t2=9t2 Now let x=4t, then  y=4t2=16t2

Q: Convert the equation 5x2 + 2y? = 3z to spherical and cylindrical coordinates.

A: We have the following facts:

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for Sa(t) =…

A: We have to eliminate the parameter t to find a simplified cartesian equation of the form y = mx+b.…

Q: Write the parametric equations x = 5t – t, y= 2 – 5t in the given Cartesian form. x =

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Q: express the equation in rectangular coordinates. (use variables x and y) r = 6 sin(?)

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