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Find the values of x where x+3>2/(x-4), what about x+3>2/mod(x-4)?

a) Create an inequality in x: (x+3)(x-4)<2. Expand and find the critical points, x^2-x-14>0. Find the answers to this inequality using quadratic formula and then test for a value between your two criti...
BH
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FP3- Find the eigenvalues and the eigenvector for the negative eigenvalue, from this 2x2 matrix of columns (2,1) and (3,0)

Let the 2x2 matrix= A. Using the characteristic equation for A (det(A-λI)=0), find the determinant of the matrix (2-λ,1) and (3,-λ). This results in the quadratic λ^2-2λ-3 so λ=3,-1. From the definition of t...
BM
3375 Views

Find values of x which satisfy the inequality: x^2-4x-2<10

We first apply a simple addition to make the inequality 0 on one side. We subtract 10, giving x^2-4x-12&lt;0. Now we factorise the equation in x, intuitively or using the quadratic formula: x=(-b+sqrt(b^2-4a...
RK
5005 Views

I'm struggling with an FP2 First-Order Differential Equations Question (Edexcel June 2009 Q3) and the topic in general!

(In terms of formatting, we'll use y' to represent dy/dx, exp() to represent the expoential e^(), int() to represent integration with respect to x, and 1ODE to mean First-Order Ordinary Differential Equation...
LB
6523 Views

Solve the inequality x/(x+2) ≤ 4/(x-3) for x ≠ -2 or 3

First we need to find the critical values. To find the critical values we must rearrange the equation and then replace the inequality symbol with an equals sign. The ≤ can be treated as an equality as long a...
GS
4422 Views