Q: Q2 Q1 Find the points of intersection of the polar curves r-cos () = 0 and 2-cos A-r=0
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Q: polar curves intersect at right angles.
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Q: 7. (a) Find a spherical coordinate equations; for the sphere x²+y²+(z-1)²=1 and the surface…
A: To convert a point from Cartesian coordinates to spherical coordinates, use equations…
Q: Find the rectangular coordinates of the point(s) of intersection of the polar curves r = 6 sin(0)…
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Q: Q2 Q1 Find the points of intersection of the polar curves r-cos 0 = 0 and 2-cos-r=0
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Q: 4. Write down the name of the conic given by the polar curve r = 15 / (3 + 2 sine). Determine the…
A: We have to draw graph of given curve.
Q: (a) Find a spherical coordinate equations; for the sphere X²+y²+(z-1)²=1 and the surface…
A: (a)
Q: 3. Find a set of parametric equations for the line of the intersection of the planes 3x-3y-7z -4 and…
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Q: III. Find a set of parametric equations for the curve of intersection of the cylinder (x-1)² + ² x²…
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Q: Find the length of the curve r = 2 sin^3 (u/3), 0 … u … 3pi , in the polar coordinate plane.
A: Given: r=2sin3u3, 0≤u≤3π
Q: Sketch a graph of the polar equation. r- -2(1 + sin(0)) n/2 7/2 4. 2 .4 4 -2 2 4. -2 -4 n/2 7/2 4. 4…
A: Given, r= -2(1+ sin theta) Plotting for the given polar coordinates we have,
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: Find a set of parametric equations for the curve of intersection of the cylinder (x - 1)2 + y2/4 = 1…
A: Given: The equation of cylinder is: x-12+y24=1 .....(1) The equation of paraboloid is: x2+y-22=z…
Q: 2. Use calculus to show that these polar curves intersect at right angles. = sin 0, r = cos 0
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Q: 13) Find as all polar points (r, 0) of horizontal and vertical tangency to the curve: x = cos(20) y…
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Q: 16 (1+ v3) ( v3-1)" Evalute 7 by de Moivers theorem, using polar form calculations.
A: Note your Question is wrong because in numerator imaginary part missing so i try to solve this…
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 a set of parametric equations for the curve of intersection of the cylinder (x − 1)² + ¹/² = 4…
A: We need to obtain a set of parametric equations for the curve of intersections of the cylinders:…
Q: 4. Find the equation of the plane that passes through the point (5, –1,0), and is per- pendicular to…
A: Let's find.
Q: 2. Find the symmetric and parametric equations of the line containing the point A(1,2, 1) and x-2…
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Q: 6. Find a Cartesian equation for the polar curve and describe its shape: r= 3csce
A: The given equation, r=3 cscθ
Q: 1.Find the area of the triangle in the xy-plane with vertices A(n,n2, n3),B(m,m2,m,),C(r..). 2.…
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Q: 9. Sketch the polar curve.r= 2 cos 2 0 ||
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Q: Find a set of parametric equations for the curve of intersection of the cylinder (x − 1)² +: 4 the…
A: We will use trigonometric identity sin2t+cos2t=1 and parametric form of standard ellipse to find…
Q: O Sketch the polar curves r=4-4sin@ and r=8sin(-Ø) on one graph. Hence, determine the points of…
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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 the points of horizontal and vertical tangency (if any) to the polar curve. r = 3 tan θ
A: Concept: The calculus helps in understanding the changes between values that are related by a…
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: Find the number of points of intersection of the polar curves r=2cos0 and r=1+2sin0. O 1 3 O 2
A: Number of point of intersection of polar curves r=2cosx and r=1+2sinx
Q: Does the origin lie on the polar curve r = 1 – 3cose ? Explain.
A: We will first plot the polar curve in the 2D (r,θ) plane with polar coordinates. We shall plot it…
Q: 30. Determine two sets of parametric equations for the line passing through the points P( 1,7, 1)…
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Q: Show that every vertical line in the xy-plane has a polar equation of the form r = a sec θ
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Q: Find the points of horizontal tangency to the polar curve. r = 3 csc 0 + 5 0 < 0 < 2n (r, 0)…
A: Solution:- Given, r=3 csc θ+5 0≤θ≤2π To find Horizontal tendency, find horizontal tangent lines…
Q: (2. Plot the points with polar coordinates 2, and -3, 2 using the pencil. 6. 3 3n 4 5n 6. 4. 7n 6.…
A: topic - plotting of points in polar coordinate system
Q: 1. Use the parametric equations of an ellipse, x = a cos 0, y = b sin 0, 0 < 0< 27, to find the area…
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Q: Show that the parametric equations x a cosh u cos v, y b cosh u sin v c sinh u represent a…
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Q: 2. Find the coordinates of the centre, vertices and foci of the curve with parametric equations: x =…
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Q: • Make your own artwork on symmetry • 1 artwork - symmetric with respect to 0 = ", (y – axis) | 2 •…
A: The solution is given below
Q: 4. Consider the point with rectangular coordinates (1, 1). State the coordinates of the point in…
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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: 8 sin ( *(4) in the interval 0 < 0< . Calculate the length of the polar curve r =
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Q: Find a set of parametric equations for the curve of intersection of the paraboloid x² + 4y² − z = 0…
A: To find the parametric equations for the intersection of given surfaces.
Q: While playing at the Nawaka Sevens, four of the rugby players are observed to be located at the…
A: The derivative is defined as the rate of change of one quantity with respect to another. In order to…
Q: 5. Find parametric equations for the line of intersection of the planes x + y = 1 and y +z = 1.
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Q: Example 7 Sketch the curves (c) r 0 (0 > 0) in polar coordinates.
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Q: 11.) Find a rectangular equation for the Surface whose Spherical equation is a sin ($) Sin (e)
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Q: 3) Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…
A: r=3 sin 3θ.
Q: Find the rectangular coordinates of the point(s) of intersection of the polar curves r= 2 sin(2 0)…
A: This question is based on conversion of polar coordinates to rectangular Cartesian coordinates.
Q: Find a set of parametric equations for the curve of intersection of the cylinder (x - 1)2 + y2/4 = 1…
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