(d) f(t) = 0, t-π 0, t<π π≤t < 2π t> 2π

Q: 65. Let A and B be the points where the ray of angle 6 intersects the two concentric circles of…

A:

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

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A: Given coordinate point :- 2,5

Q: Give a rough sketch of the graph of the curve r= 1+ cos40, 0 < 0<2r.

A: The given curve is  r=1+cos 4θ,  0≤θ≤2π

Q: 5) Sketch the graph of each function a) y=2" +1 b) y=3*1

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Q: Check the symmetry and graph the curve r² = 16 a² cos if (0=0, π/3, TT/2) use a calculator Set ih…

A: The given polar curve is r2=16a2cosθ. We need to check the symmetry of the given curve and need to…

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Q: The intercepts on the horizontal axis are (pi/6 ,0) and (5pi/6, 0). graph the corresponding polar…

A: Given: The intercepts on the horizontal axis areπ6,0and5π6,0

Q: Find the points, if any, at nhich the araph of foo =xJibx has a horizontal tangent line.

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Q: Find the length of the curve. (2t + 1)3/2 2.y = Osts 16 x= 3

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Q: ( 1/1,0) 1 (435+, -1) 43.5п

A: Here is the path between the two points  π),0)"&gt;π  and  π on the Topologist’s Sine Curve. The…

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A: Graph of cosine curve extends indefinitely to the left and to the right with no gaps and holes.…

Q: fomily of pone - members of the formily. Find the differential cquotion of te Curves ck scribed.…

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Q: Find degree measure Arcsin 3/4

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Q: Prove that cosine has the Direct Substitution Property.

A: We will follows the strategy of the previous exercise. its given to us that…

Q: Given a sine or cosine graph, the horizontal distance between a maximum point and the following…

A: We have to find the horizontal distance between the maximum and minimum point of the sine/cosine…

Q: 4. A Ferris wheel has a radius of 30 m and its centre is 31 m above the ground. It rotates once in 1…

A: Given: Radius of the Ferris wheel = 30 m The center is above the ground = 31 m It rotates once in 1…

Q: Find an equation in cartesian coordinates for the curve given by r = 8 sec(0). Use geometry to…

A: We know that : x=r·cosθ and y=r·sinθ   Using that we get: r=8sec(θ)r=8cos(θ)r·cos(θ)=8x=8

Q: Plot the point whose polar coordinates are -3, In the graph below, use the 4. options to change the…

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Q: What are the coordinates of point P on the unit circle U if the real number t = (-15π/2)?

A: We have to find coordinate point P on the unit circle for t=-15π2

Q: Give one theorem on secants and tangents. Explain and show illustrations of your chosen theorem.…

A: Given query is to provide a theorem on tangent and secant with an example.

Q: What is Arc Relation. Explain please.

A: An ARC Relationship is an arc symbol used on a data model to indicate that two or more relationships…

Q: An example of cissoid of Diocles is r = sin 0 tan 0 whose graph is below. Show this curve has the…

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Q: The equation of the curve passing through (1,2) and whose D.E. is xdy + ydx = x³dx A.) 4xy + x¹-7=0…

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Q: 4.) Sketch the curve r = 1 + 5 sin by first sketching the graph of r as a function of in cartesian…

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Q: Trace the curve r² = 4cos⁴(theta) tan²(theta)

A: The given curve is r2=4cos4θtan2θ