Find the polar coordinate of the point P(x, y) = (4, -4):Plot the graph.

Q: Find the Cartesian equation of the curve: [2r/r2 = 1+ cos a]

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Q: Use polar coordinates to evaluate (x² + y° )% dy dr.

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Q: Sketch the polarc curvey a. rasin?D. b. r= ccslo- aiat

A: a. Plugging values for theta to obtain corresponding r: Graphing the polar curve using the above…

Q: Find the equation of the line y= 3x+2 in polar coordinates.

A: Given:          y=3x+2

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

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Q: Find an equation in polar coordinates of the line y = 2x- 4 Note: use "t" for &

A: On solving this we will get

Q: Find the exact length of the polar curve. r = = 02, 0 < 0 < 3t/4

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Q: • Sketch the curve represented by the parametric equations (indicate the Orientation of the curve),…

A: Given,

Q: Sketch the curve represented by the equations x = 1/ √(t + 1) and y = t/(t+1) , t &gt; −1 by…

A: The given parametric equations are: The given equations are in the form of a parameter t, whose…

Q: Which point is the polar of line AaP? A B Center of 3.6 perspectivity Axis of perspectivity Y C. B.

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the polar coordinate of the point P(x;y) = ( -1, -1). Plot the graph.

A: The Cartesian to polar coordinate conversion is given by: (x,y)=(r cos θ, r sin θ) Where, r=x2+y2and…

Q: Find the polar coordinate of the point P(x, y) = (3, – V3).Plot the graph

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Q: Find the rectangular equation for given parametric equations x= 3t      y=t+3

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Q: Find the exact length of the polar curve. r = 02, 0 < 0 < 3t/4

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Q: Q4\ find a polar equation for the circle x² + (y - 3)² = 9

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Q: Graph the curve given by the parametric equations below, and show its orientation. x= 3 cost, y=3…

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Q: Find the polar coordinate of the point P(x, y) = (v2, v2).Plot the graph

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Q: Find polar coordinates (r, 0) of the point, where r> 0 and 0 s0

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Q: 8. x 2t2, y =t + 1 ||

A: We use substitution method to eliminate parameter

Q: 8- For the curve whose Cartesian equation is: (x2 + y?)3/2 = 2x? a. Find and simplify the equation…

A: The given equation is x2+y232=2x2

Q: Graph the curve r2 = 4 cos θ in the Cartesian xy-plane

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Q: Find polar coordinates (r, 0) of the point (1, -V3), where r <0 and 0 s0 < 2m

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Q: Find e-a* -y" dx dy using polar coordinates.

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Q: Sketch the curve given in polar coordinates. r = 2 + 4sine , 0 < 0 < 2n

A: Consider the polar curve  r=2+4sinθ                             0≤θ≤2π

Q: please make curve clear and determine the direction (clockwise or counterclockwise) of the curve.…

A: Given that       x = -3t , y = t2  , -3 &lt;= t &lt;= 2  Here we have to draw the graph.

Q: Use the three steps to graph the polar equation: r = 8/(2 + 4cos θ)

A: we have to draw the graph of the polar equation : r=82+4cosθ

Q: Find the length of the spiraling polar curve r = 2e" From 0 to 27. The length is

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

Q: Q3: Find and classify all fixed points and plot the portrait on a circle for the system 0 = 2 + 2…

A: Given equation is θ.=2+2cosθ. We have to find and classify the fixed points of this system. Then…

Q: Find a polar equation for the circle x + (y +9)2 = 81. Then sketch the circle in the coordinate…

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Q: Plot the points with polar coordinates -5, and 4, using the pencil. 11a 6. 4. 4T 3 如不

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Q: 7T What are the rectangular coordinates of the point with polar coordinates (r, 0) = [2, ? 4 (х, у)…

A: Given: r,θ=2,7π4

Q: 2T and 3 5n using the pencil. -5, -- Plot the points with polar coordinates 3, 2n 2. 12 4. 11m w/

A: To plot the points on polar coordinates

Q: Find the distance on the xy plane between the two points, given below as polar coordinates (7,…

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Q: Find a Cartesian equation for the curve which is defined by the polar equation: r= 6csc(0) where 0<0…

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Q: Identify the graph generated by the parametric equationsx = t2, y = t, for -10 ≤ t ≤ 10.

A: x=t2,  y=t  for  -10≤t≤10

Q: Sketch the curve represented by the parametric equations Lindices Orientation of the curve), and…

A: Topic :- function

Q: Evaluate fe(11 +x³)dx + 76dy where C is the line segment from (0, 1) to (-2, –1) followed by the…

A: We will first break the whole path into two segments and then integrate on both segments.

Q: For the curve whose Cartesian equation is: (x2 + y?)3/2 = 2x? a. Find and simplify the equation in…

A: Given cartesian equation is: x2+y23/2=2x2 To express the equation in polar coordinates and to sketch…

Q: Sketch the curve represented by the parametric equations x = 2t/2, y = t4+ 1 (indicate the…

A: Given parametric equation, x=2t2 and y=t4+1we have to write the corresponding rectangular equation…

Q: Sketch the curve represented by the parametric equations x = t3, y = t2/2 (indicate the orientation…

A: Given a parametric equation,   x=t3                ...(1)  y=t22              ...(2)

Q: Find the parametric equation for the line where the planes - 3y = 3 and -r - y+ 5z = - 9 intersect.…

A: The intersection of two plane is a line or the overlapping plane. Direction of the line is…

Q: 2. Find the SA generated by rotating the first quadrant portion of the curve y = 9- x2 about the…

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Q: Find the polar coordinate of the point P(x,y) = (-1, -V3).Plot the graph

A: We have to solve given problem:

Q: change the straight line function of the Cartesian coordinates -2x + 3y = 5 into polar coordinates

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Q: What is the slope of the line tangent to the polar curve r 202 when 0 = T? A 4 7/2 C 2/T - 27?

A: r=2(theta)^2 theta=pi To find: slope=??

Q: Q3) A) Plot the following in polar coordinates (3, 5, (-5, )

A: The polar coordinates are given by the formula (a,θ). Here, a is the distance of the point from the…

Q: Sketch the curve represented by the parametric equations x = et , y = e3t + 1 (indicate the…

A: Sketch the curve represented by the parametric equations x = et , y = e3t + 1 (indicate the…

Q: Find a polar equation for the curve represented by the given Cartesian equation.

A: From cartesian to polar, please make the following substitution: x = rcosθ; y = rsinθ

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.