The polar equation of the circle with Cartesian equation x² + y2 = 100 is:« A r= 100- В r= 10 sin 0 C r = 104 D r= 10 cos 0 C p2 + cos? 0 = 10

Q: he unit circle x^2 + y^2=1 can be written in parametric form  as x=cos(θ) and y=sinθ. Find dy/dx…

A: The parametric equation of the unit circle is: x=cosθ ; y=cosθ From the chain rule we know that,…

Q: (1 point) Suppose that C is the curve defined by the polar equation r = 2 +4 cos 0 (called a…

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Q: A torus of radius 2 (and cross-sectional radius 1) can be represented parametrically by the function…

A: The surface area (A) of torus is given by the formula mentioned below with given values as.

Q: What is the rectangular equivalence to the parametric equations? x (0) = 3 cos 0 + 2, y (0) = 2 sin…

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Q: The graph of the curve given by the parametric equations X=sint and y=cos2t IS à Select one: O ircle…

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Q: You are given the polar curver = cos(0) + sin(0). (a) List all of the points (r, 0) where the…

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Q: Suppose a curve is traced by the parametric equations x= 6.08 sin(t) and y = 22 -…

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Q: Show that cos 120 cos 40 – 3 cos 40 sin? 40 and use this identity to find an equation in rectangular…

A: We have to show that cos12θ=cos34θ−3cos4θsin24θ Consider  cos12θ=cos34θ=cos3P        Let P=4θ We…

Q: What is y2 = 3x in polar form? r = 3 sin 0 sin 0 O Option 4 r = 3 csc 0 cote Option 2 r = 3 sin 0 -…

A: Given y2=3xTo find polar form:

Q: (1) In row 2, use parametric equations to plot a unit circle. 3 (2) In row 2, adjust the parameter…

A: Asked questions are solved.

Q: Find the length of the curve over the given interval. Polar Equation Interval 0,

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Q: The magnitude of area inside of polar curve (r =) and outside 2 of polar curve (r = sin0) is equal…

A: We have to find the magnitude of the area inside of the polar curve r=3π and outside of the polar…

Q: Sketch the regions defined by the polar coordinate inequalities 0 ≤ r ≤ 6 cos θ

A: Try to graph the following equality:

Q: 2. Determine the area of the region that is simultaneously interior to the curve r = 2 + cos (38), e…

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Q: What is the rectangular equivalence to the parametric equations? z (8) = 4 cos 0 + 2, y (8) = 2 sin…

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Q: Identify the surface whose equation in spherical coordinates is given by p= 2 cos o

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Q: Graph the equations in Exercises 17–24 in the θr-plane. Label each arc of your curve with the…

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

Q: find parametric equation (cartesian) for tagent line to r=cos(2theta) at theta=2

A: The equation of the tangent line is

Q: Find the area of the surface formed by revolving the polar equation over the given interval about…

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Q: Given the curve in polar equation r = 8 cos 0, 0<0 Use integration to find the area of surface…

A: Given the curve in polar equationr=8 cos θ, 0≤θ≤π2.By using the integration to find the area of…

Q: Eliminate the parameter in the parametric equations x = 7+ sint, y = 2+ sint, for 0sts, and describe…

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Q: 30. Show that the circle with its center at (5,) in Figure 20 has polar equation r = sin 0 + cos 0…

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Q: You are given the parametric equations x = 2 cos(0), y sin(20). a) List all of the points (x, y)…

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Q: 28. Show that the circle with its center at (}. ) in Figure 20 has polar equation r = sin 0 + cos 0…

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

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Q: Find parametric equations for the circle x2 + y2 = a2, using as parameter the arc length s measured…

A: The given equation of circle is,

Q: Identify the surface whose equation in spherical coordinates is given by p= 8 cos o

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Q: find the area of the polar curve.   r=3-sin@

A: To calculate the area of the given polar curve , using integration

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: A circle is specified in parametric form by x=7+3cosθ y=−8+3sinθ What are the coordinates of the…

A: Given : A circle is specified in parametric form by  x=7+3 cosθy=-8+3 sinθ To Find : What are the…

Q: Two parametric equations are given by: x = cos (1), y sin (t) u- sin(t) v - cos(t) In one figure,…

A: Any point in the cartesian coordinate system is defined as x,y. The parametric functions are defined…

Q: slime mold grows in a spiral pattern with polar radius . If the mold grows by continuing the spiral…

A: We have to find the Cartesian location of the endpoint at given angular velocity.

Q: . The curve with parametric equations x = (1 + 2 sin 0) cos 0, y = (1 + 2 sin 0) sin 0 is called a…

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Q: It can be shown that the polar curve r = a sin(0) +b cos(0), where ab + 0, is a circle. Find the…

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Q: The unit circle a + y: =1 can be wrriten in parametric form as x = cos(0) and y= sin0. Find and…

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Q: Determine the arc length of the curve formed by the polar equation r = 4 cos 0 - 4. 2T 2п 2√/2 √1 -…

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Q: Calculate the length of the polar curve r=1- sin Oon the given interval (0, 2m].-

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Q: The curve (x-)*+Cy +1)*= 4, x 7,1 is given. First draw it in the Cartesian plore and then transtorm…

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Q: Find the points at which the polar curve r= 5+ 10 sin 0 has a horizontal or a vertical tangent line.…

A: the equation of the given curve in polar form is: r=5+10sinθ we have to find the points to the curve…

Q: Identify the surface whose equation in spherical coordinates is given by p = 8 cos %3D

A: The given equation in the spherical polar co-ordinates is ρ=8cosϕ. In spherical polar co-ordinates,…

Q: Consider the spherical equation given by p sponding equation in Cartesian coordinates. 4 cos sin o.…

A: The given spherical equation is ρ=4cosθsinϕ To convert the spherical equation to cartesian…

Q: Find the slope of the tangent line to a polar curve r = f(0) at the given point. (Hint: Let x =r…

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Q: Convert the Cartesian equation y = x2 + 2x into a polar equation (you should be able to simplify…

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Q: The parametric equations: x = a a cos 8,y = a sin 0;0 <e< 2n, define a curve called an asteroid

A: Given: The parametric equation is where 0≤θ≤2π   To determine: The slope of the tangent wrt θ i.e…

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: Find the exact length of the polar curve r cos (0/4). Length = CS Scanned with CamScanner- %3D

A: In this question we have to find the length of the polar curve.

Q: The polar equation of the curve is expressed as r = 2sine + 2cose. area bounded by the curve.

A: To find the area.

Q: 11.) Find a rectangular equation for the Surface whose Spherical equation is a sin ($) Sin (e)

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Q: Graph the polar curves r = 3 sin 0 and r = 2 – sin 0. Find the area of the region that lies inside r…

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