3. Intersections. Find the six intersections of the following two parametric curves. Give exact values for the coordinates. Determine which of the intersections is a collision. Curve 1 Curve 2 x=sin(2t) x= cos(t) 0≤t≤2n y=sin(t) y=sin(t) INTERSECTIONS (ALL):

Q: The following sets of parametric equations describe the paths of two objects that collide after T…

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Q: Eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented…

A: From x = √t we get t=x2 Then we plug it in y=t-1  So, y=x2 - 1

Q: a. Which of the following sets of equations could trace the circle x +y = a once clockwise, starting…

A: a) option B is true. x= acost ,y= -sin t  b) option B is true. x= acost ,y=asint

Q: Eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented…

A: x=t and y=2t We need to eliminate the parameter t and use the rectangular equation to sketch the…

Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

A: When two or more dependent variables depend upon an independent variable, then that independent…

Q: Let A = (1, -2, 2), B = (0, -1, 3), and C = (2,c4, c), where c is a real-valued constant. Find all…

A: Let A=(1, -2, 2), B=(0, -1, 3), and C=(2, c-4, c) where c is a real valued constant.

Q: f. Sketch the curve in the complex plane given by i. Iz - 3| = |z + 3i| ii. z? +z? = 2.

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Q: Consider the following parametric equations. x= √t +3, y = 2√t; 0≤t≤ 16 X a. Eliminate the parameter…

A: Given, x = t+3y = 2t0≤t≤16

Q: Find the exact length of the curve described by the parametric equations. x = 7 + 6t2,    y = 3 +…

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Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

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Q: Sketch the graph of the following parametric (a) x = 1+t , y= 2t – 3, 2<t< 5 1 (b) x = 2t , y = 1+…

A: Here we have to draw the parametric equations:- a) x=1+t,    y=2t-3,   2≤t≤5b) x=2t,    y=11+t2c)…

Q: I. II. III. IV. y² = t² - 2t and x = t + 2 is Ellipse Circle Parabola Hyperbola

A: Topic = Coordinate geometry Correct Option = IV

Q: 3. Consider the parametric equations x = 3 cos@ and y=2 sin 0, for 0≤0<2m. (a) Sketch the curve by…

A: Note : As per our Guidelines , we can solve first question. please repost remaining one.

Q: Match each plot with the corresponding parametric equations. У c(t) = (2 – t, t2 - 9) - t3) c(t) =…

A: The given graph is a line.  So the relation between x and y ordinates must be linear.

Q: 2. Graph the following parametric equations on XY plane. Select a set of t-values. x=r+5 y=1-?

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Q: Consider the following parametric curve. Answer parts a and b. t+7√₁y=t-7√₁t=1 x=t+ b. Make a sketch…

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