test for symmetry and graph each polar equation
Q: Graph the point with the polar coordinates-4- I Give two aternative representations of the point in…
A: (a) Given point is -4,-7π6. In first quadrant the points will be of the form, x,y:x,y>0. In…
Q: Identify and graph the polar equation. r= 4 -4 sin 0 .... What shape does the polar equation form…
A: I am going to solve the given problem by usings some simple algebra to get the required result.
Q: Graph the polar equation and the related sinusoid. Label the tick marks on the axes of the sinusoid…
A: Given- r=6cos 3θ To Graph- The polar equation and the related sinusoid. Label the tick marks on the…
Q: 20os()
A: Given r=2+2 cos( θ)
Q: You are given a polar equation and its graph. Use the equation to determine polar coordinates of the…
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Q: Identify and sketch a graph the polar equation. Test for symmetry with respect to the pole and the…
A: The given equation is r=4-2cosθ. We need to sketch a graph. The given equation is of the form…
Q: Replace the polar equations with equivalentCartesian equations. Then describe or identify the graph.…
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Q: Replace the polar equations with equivalentCartesian equations. Then describe or identify the graph.…
A: cosθ = x/r = x/√(x2 + y2) sinθ = y/r = y/√(x2 + y2)
Q: (a) graph the polar equation, (b) draw the tangent line at the given value of θ and (c) find dy/dx…
A: r= 3 sinx is a circle.
Q: Find a polar equation in the form r cos (0-00) = ro for the line x = - 12. What is the polar…
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Q: Plot the point given in polar coordinates. (-8,2pi/3) Find three additional polar representations…
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Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. r = 3 cos 0…
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Q: You are given a polar equation and its graph. Use the equation to determine polar coordinates of the…
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Q: est for symmetry with respect to the line θ = π/2, the polar axis, and the pole. (Select all that…
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Q: Convert the polar equation to rectangular form and sketch its graph. r = 5 sin(θ)
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Q: Convert the polar equation to a Cartesian equation. Then use a Cartesian coordinate system to graph…
A: Polar coordinate
Q: dentify and graph the polar equation. r=7 sin (30) What shape does the polar equation form when…
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Q: Identify and graph the polar equation. r=6-6 sin 0 What shape does the polar equation form when…
A: Given
Q: Identify and graph the polar equation. r=8-8 sin e What shape does the polar equation form when…
A: The given polar equation is: r=8-8sinθ Recall the concept of Limacon and Cardioid: The equation of…
Q: Test for symmetry and graph the polar equation. r= 5-5 sin 0 a. Is the polar equation symmetrical…
A: We will graph the polar curve.
Q: EXAMPLE 6 Rectangular Equation to Polar Eq Find a polar equation that has the same graph
A: We will use
Q: How do you graph the polar curve r = 5 cos 0? Drag an equation, variable, or phrase into each box to…
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Q: Use a graphing utility to graph the polar equation r =−10/( 1 − cos θ ). Identify the graph and find…
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Q: a) Plot the point that has the given polar coordinates. (−5, 0) b) Give two other polar…
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Q: Replace the polar equations with equivalentCartesian equations. Then describe or identify the graph.…
A: On simplification, we get Now,
Q: Replace the polar equations with equivalentCartesian equations. Then describe or identify the graph.…
A: We know, the relation between polar and Cartesian coordinates is given as,
Q: Identify and graph the polar equation. r= 10 - 10 sin 0 What shape does the polar equation form when…
A: see below the answer and explanation
Q: Use a graphing utility to graph the polar equation r =6/( 6 + 7 cos θ). Identify the graph and find…
A: Given: r=66+7cosθ for drawing graph of given curve, first we simplify it by cross multiplication…
Q: Test for symmetry and then graph the polar equation. r=1-3 cos 0 c. Is the graph of the polar…
A: (c) If the polar equation, (r, θ) can be replaced by r,-θor - r, π- θ, the graph is symmetric with…
Q: The graph of a polar equation is given. Select the polar equation for graph from the following…
A: The graph of a polar equation is given. Select the polar equation for graph from the following…
Q: Replace the polar equations with equivalentCartesian equations. Then describe or identify the graph.…
A: The given polar equation is To convert polar coordinates(r,θ) into Cartesian equation, use the…
Q: Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the…
A: Given, rsin(theta)= -1 We know that, Rectangular coordinates are given by, x= rcos(theta)…
Q: Test for symmetry with respect to (a) the polar axis, (b) the line 0 = 2 and (c) the pole for the…
A: To test the symmetry of r=2cos theta
Q: The graph of a polar equation is given. Select the polar equation for the graph.
A: as we can see from the graph, here axis of symmetry is the vertical axis so the function is must be…
Q: Test for symmetry and then graph the polar equation. r= 2-4 cos 0 a. Is the graph of the polar…
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Q: The rectangular coordinates of a point are given. Find polar coordinates for the point.…
A: follow next step
Q: The polar coordinates of a point is (4,45°). Determine the Cartesian coordinates for this point.
A: The polar coordinates of a point is (4,45°).
Q: Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the…
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Q: Can you help me with the first three questions? I am not sure how to do it. Not graded, solely for…
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Q: Graph the polar equation and the related sinusoid. Label the tick marks on the axes of the sinusoid…
A: Given a polar equation, r=6cos3θ, 0≤θ≤2π3
Q: Change the polar equation 5r = sin (θ) to Cartesian equation
A: Given polar equation 5r = sin (θ) We have to convert it into cartesian equation (an equation that…
Q: Use a graphing utility to graph the polar equation over the given interval. r = 9 theta, pi ≤…
A: r=9θ , π≤θ≤2π
Q: Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the…
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Q: Plot the point with the given polar coordinates. Then find all the polar coordinates of the point.…
A:
Q: Identify and graph the polar equation. r=4-4 sin 0 What shape does the polar equation form when…
A: required graph of the given equation is
Q: The rectangular coordinates of a point are given. Find polar coordinates (r,θ) of this point with…
A: Given: The given coordinate point in the rectangular coordinate system is, Also given, The…
Q: Replace the polar equation r= 6 cos 0 +2 sin 0 with an equivalent Cartesian equation. Then identify…
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Q: Replace the polar equations with equivalentCartesian equations. Then describe or identify the graph.…
A: To replace the polar equation with equivalent Cartesian equations, then identify the graph.
Q: Plot the point with the given polar coordinates. Then find all the polar coordinates of the point.…
A: Polar graph
Q: Rewrite the Carteslan equation z = 5 as a polar equation. r(@) = Enter theta for 8 if needed.
A: Rectangular co-ordinates and polar coordinates are related as x=r cosθy=r sinθr2=x2+y2tanθ=yx
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- Find the length of the curve over the given interval. r = 8(1 + cos θ), [0, π/ 3]Suppose that the position of one particle at time t is given by x1 = 3 sin(t), y1 = 2 cos(t), 0 ≤ t ≤ 2? and the position of a second particle is given by x2 = −3 + cos(t), y2 = 1 + sin(t), 0 ≤ t ≤ 2?. (a) Graph the paths of both particles. How many points of intersection are there? __ points of intersection (b) Are any of these points of intersection collision points? That is, are the particles ever at the same place at the same time? If so, find the collision points. (Enter your answers as a comma-separated list of ordered pairs of the form (x, y). If there are no collision points, enter DNE.) (x, y) =__ (c) Describe what happens if the path of the second particle is given by x2 = 3 + cos(t), y2 = 1 + sin(t), 0 ≤ t ≤ 2?. The circle is centered at (x, y) = __ There are _ intersection point(s), and there are _ collision point(s).Find the arclength on y = 4x3/2 from x is greater than or equal to 1 and less than or equal to 3
- Suppose that the position of one particle at time t is given by x1 = 5 sin(t), y1 = 2 cos(t), 0 ≤ t ≤ 2? and the position of a second particle is given by x2 = −5 + cos(t), y2 = 1 + sin(t), 0 ≤ t ≤ 2?. 1) find the collision points. (Enter your answers as a comma-separated list of ordered pairs. If an answer does not exist, enter DNE.)Find the length of the curve over the given interval. r = 2a cos θ, [−π /4, π/4]Find the length of the path over the given interval. (2 cost − cos 2t, 2 sin t − sin 2t), 0 ≤ t ≤ π/2