The equation of motion of a particle moving in a plane are x = t², y = 3t - 1 when t is the time and x and y are the rectangular coordinates. Find the speed of motion at the instant when t=2

Q: 4.) A particle's motion is represented by the position equation s(t) = t²-t, t≥0, where s is…

A: Solution:A particle's motion is represented by the position equation s(t) = t² - t, where s is in…

Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

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Q: Sketch the line parallel to 3x + 2y = 12 which passes through the point P(0, 2).

A: Given,         The line parallel to 3x+2y=12 which passes through the point P0,2.We know that,…

Q: Find a pair of parametric equations for y= 3(x - 5)² +2. Show all your work for full credit.

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Q: eliminate the parameter to obtain an equation in x and y

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Q: r = 14,0 = I 4 Description of locus in (x, y, z) space: Line made by the intersection of the…

A: Given the Polar coordinates      r=14 and θ=π4 Find the Cartesian coordinate y.

Q: Write the equation of the straight line through (2, −3) with slope 3/4, in the parametric form r =…

A: Line passing through the point 2, -3 with slope 34.

Q: Find the equation of the line that...is parallel to 7x + 2y = 2 and passes through (3,4). (Write…

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Q: 24 Which of the equations are perpendicular to y = 8x + 1? Circle your answers. M. y − 1 = (x+3) N.…

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Q: y² = 8x,x=2, AOR = Y AXIS

A: Given: The volume of the region bounded by the curves y2=8x, x=2 Find the volume of the solid…

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

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Q: Find a parametric representation of the solution set of the linear equation. i. x + y = 2 3 x-y - z…

A: We have to find