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Need Some Math Help A particle is moving along the x-axis so that at any time, t is greater than or equal to 0, its acceleration is given by a(t)= 18-2t. At time=1 the velocity of the particle is 36 meters per second and its position is x=21. I found the velocity and the position function of the particle for when t is greater than or equal to 0 which is v(t)= 18t-t^2+19 and x(t)=9t^2+(t^3)/3+53/3. I need help finding the position of the particle when it is farthest to the right but since t is just greater than or equal to 0, I don't really know how do so.

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Algebra 1 Age,Motion, and Number Problems Help I have a couple of age,motion, and number problems I have no clue how to do, and I was hoping to get some tips on how to do them. I don't really care about the answers, I just care about the process because I already have the answers and I just need to know how to get them. 1.)Find the product of three consecutive digits if the largest number that can be formed with two of the digits is two more than the sum of three times the average of all the digits and the smallest number that can be formed with two of the digits. 2.)The square of the sum of three consecutive integers is 82 less than the sum of twice the square of the first, three times the square of the second, and four times the square of

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Related Rates Homework So I have this problem that I have no idea what to do. I get the process of how to these problems but it's just that I don't exactly know which equation I derive in this one and what to plug in afterwards mainly because I have no idea what I'm finding in respect to time. A particle is moving around the ellipse 4x^2+16y^2=64. At anytime [i]t[/i] , its x- and y- coordinate are given x([i]t[/i])=4cos[i]t[/i] and y([i]t[/i])=2sin[i]t[/i]. At what rate is the particle's distance to the point, (2,0) changing at any time [i]t[/i]? At what rate is the distance changing, when [i]t[/i]= pi/4 ?

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