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At time t = 0 a particle leaves the origin and moves along the x-axis. At time t seconds, the velocity of P is v m/s in the positive x direction, where v=4t^2–13t+2. How far does it travel between the times t1 and t2 at which it is at rest?

First, you have to work out the values of t1 and t2 at which the particle is at rest. This is done by solving the quadratic equation for v, producing values for t of 13/8 +- sqrt(137): 0.1619s and 3.088s. To...
JM
Answered by Jack M. • Maths tutor
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Given that, dy/dx = 6x^2 - 3x + 4, and y = 14 when x = 2, express y in terms of x.

dy/dx = 6x 2 - 3x + 4 To retrieve the original function y from dy/dx you have to integrate the derivative with respect to x. y = ∫(dy/dx)dxy = ∫(6x 2 - 3x + 4)dx To integrate, the power is raised by one and ...
CB
Answered by Ciaran B. • Maths tutor
6321 Views

Do the circles with equations x^2 -2x + y^2 - 2y=7 and x^2 -10x + y^2 -8y=-37 touch and if so, in what way (tangent to each other? two point of intersection?)

We must first complete the square for both equations and get the equations in the (x-a) 2 +(y-b) 2 =r 2 with the primary objective of determining the centres of both circles (a,b) . Through completing the sq...
SS
Answered by Shanti S. • Maths tutor
4145 Views

How do you translate a sentence?

The first thing to do when translating a sentence is to read it over at least once, to get a general gist of how long it is, how many clauses there are, in short, how easy or difficult said sentence will be....
LB
Answered by Luke B. • Latin tutor
3008 Views

How does Shakespeare present the theme of love in Othello? (passage will be available)

OBJECTIVES; A01analysing language based off whatever passage is presentedA02 construct a cohesive argumentparagraphingclear introduction and conclusionA03context; Elizabethan Ageimages of women and black peo...
AB
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