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solve the equation x^2 -5x +1 = 25

We can see from the term x^2 that this equation is quadratic. To solve it, we need to get it into the form ax^2 +bx +c = 0. Subtract 25 from both sides to reach this form:So we have the equation x^2 -5x -...

FS
Answered by Frederick S. Maths tutor
2741 Views

By first expanding the brackets, differentiate the equation: y=(4x^4 + 3x)(2x^2 - 9)

In this case the question has given you a clue as to the order that you solve the question. So, first we need to expand the brackets, multiplying each term by one another to get; y=8x^6 - 36x^4 + 6x^3 - 2...

PA
Answered by Patrick A. Maths tutor
3205 Views

Work out the equation of the normal to the curve y = x^3 + 2x^2 - 5 at the point where x = -2. [5 marks]

Firstly, we need to differentiate the function of the curve y = x^3 + 2x^2 - 5. Using d/dx (x^n) = nx^(n - 1), we get dy/dx = 3x^2 + 4x. To find the gradient of this curve, we then need to evaluate dy/dx ...

AG
Answered by Amy G. Maths tutor
3784 Views

Explain how government policies can reduce the natural rate of unemployment

The natural rate of unemployment is defined as the rate of unemployment that exists when the labour market is in equilibrium. In figure 1 we can see a graphical explanation of this concept; the lateral di...

JR
Answered by Joshua R. Economics tutor
16451 Views

what is water potential?

Water potential is a measure of the tendency of water to move from one place or compartment to another. Water moves based on the water potential, from a region of higher water potential to a region of low...

VG
Answered by Verity G. Biology tutor
2961 Views

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