What does the graph of the parametric equations x(t)=3−t and y(t)=(t+1)2, where t is on the interval [−3,1], look like? Drag and drop the answers to the boxes to correctly complete the statements.     The parametric equations graph as a portion of a parabola. The initial point is ---------, and the terminal point is ----------. The vertex of the parabola is --------. Arrows are drawn along the parabola to indicate motion -------------. (2,4) right to left (6,4) (4,4) left to right (0,4)

Q: Plot (-6, - 3π/4) and (-6,5π/4) on the same polar plane.

A: We have to plot the polar graph

Q: 4. Consider the complex equation - -32i. (a) Solve for all values of z.

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Q: Suppose a and b are positive numbers. Sketch the parabolas y2 = 4a2 - 4ax      and         y2 = 4b2…

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Q: Write the equation (in standard form) of the parabolic arch formed in the foundation of the bridge…

A: here we have to find  the equation (in standard form) of the parabolic arch formed in the foundation…

Q: Express (-23+ j2) -6 in rectangular form.

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Q: Sketch the parabola f (x) = 2x2 - 4x.

A: Given: f(x) = 2x2-4x To sketch: The given parabola.

Q: Solve (-1+i)6 using De Moivre’s Theorem. Express final answer as rectangular form

A: Given term is: -1+i6

Q: a)w= f (z) = e – iz for complex function a) Find the image of the line y = 5 on the z plane on the w…

A: Consider the given information for part (a).

Q: Find the equation of the parabola with V(-2,-3) and a directrex y=-7

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Q: Find a motion that moves the line x + 2y = 3 to the y-axis and point (1, 1) to the origin. Give the…

A: To find a motion that moves the line x+2y=3 to the y-axis and the point 1,1 to the origin i.e.0,0.…

Q: (a) Using your calculus skills, find the equation of the tangent line to the parabola y = 4x² - 2x +…

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Q: Solve for the equation of a parabola with focus of (-1, -2) and a directrix y = -4. Show solution

A: the equation of a parabola with axis of symmetry parallel to x-axis when the directrix is of the…

Q: The roots of the equation x² - 6x + I = 0 are? The equation of the line of symmetry to the curve y…

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Q: O Find the equation of the parabola that has its focus at (-4, 1) and its directrix x = 0.

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Q: ン Plot the point whose polar coordinates are 4, 5+ 4 2 -5 -4 -3 -2 -1 4 5 -1 -2 -3 3.

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Q: Find a parametric equation from the given conditions: Parabola with vertex at (2,-3) and opens…

A: Given that the vertex is (2,−3), we have (h=2) and ( k = -3 ).So, our equation becomes:…

Q: What is the image of the line x = c; c > 0 in the function f(z) = ? ("z" complex number) Z

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Q: An equation x-2x-4y+9=0 represents a parabola. (a) Determine the vertex, focus and directrix of the…

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Q: could you please show the steps of how you obtained that rectangular equation? thank you!

A: As per the question we are given the equation of an ellipse in parametric form, and we have to find…

Q: Determine the parametric and symmetric equations for the line through the given points (2, –7,5),…

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Q: ress 3x² + y² + 2z² + 6x – 4y

A: Given,            3x2+y2+2z2+6x-4y-12z+26=0