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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 o...

Use the identity cos^2(x)+sin^2(x)=1, to change the 5sin^(x) into 5-5cos^2(x) and rearrange. Let y=sin(x) and solve the rearranged quadratic (6y^2-3y-3) for y and find the value of x for each solution. y=...

The objective of this question is to find the solution, what is x equal to? The first thing to do is try to get all x terms on one side of the equation and all non x terms on the other. Here we have posit...

Given: £30 pounds per week 20% = 0.2 = 1/5 - spending on leisure

To find: a) Residue amount (Ra) b) How many weeks does Michael need to save (Tw)

Solution: a) To the find residue amount we m...

Due to the afferent arteriole going towards the glomerulus having a having a larger diameter than the efferent arteriole leaving the glomerulus the pressure increases in the glomerulus. This causes the s...