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given that at a time t, a particle is accelerating in the positive x-direction at 1/t ms^-2, calculate the velocity and the displacement of the particle at time t = 2s

v=ln2, x=2ln2 - 2
TS
Answered by Toby S. • Maths tutor
4426 Views

Solve 7x – 9 = 3x + 2

aim is to move all numbers to one side and all the x to one side. whatever you do to one side, you must do to the other side. For example I want to remove -9 on the left by adding +9 to left side but I need ...
SZ
Answered by Shahswar Z. • Maths tutor
5120 Views

Express (9x^2 + 43x + 8)/(3+x)(1-x)(2x+1) in partial fractions.

A/(3+x) + B/(1-x) + C/(2x+1) = (9x^2 + 43x + 8)/(3+x)(1-x)(2x+1)So... A(1-x)(2x+1) + B(3+x)(2x+1) + C(3+x)(1-x) = (9x^2 + 43x + 8)Insert x=1Equation becomes 12B = 60 so B = 5.Then insert x=-3Equation becomes...
AV
Answered by Abhik V. • Maths tutor
6951 Views

Given the parametric equations x = t^2 and y = 2t -1 find dy/dx

The first step is to find dx/dt and dy/dt, this is done using standard differentiation rules giving the resultsdx/dt = 2t dy/dt = 2 The second step is to eliminate dt. This can be done by the multiplication ...
MH
Answered by Matthew H. • Maths tutor
10064 Views

Find the inverse of a 2x2 matrix

Consider the 2x2 matrix M , consisting of elements a , b , c and d . To find its inverse one must first find the determinant of M . This is achieved by calculating the result of the expression ad - bc . The ...
GD
Answered by Giovanni D. • Maths tutor
5643 Views