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A curve has the equation y = (1/3)x^3 + 4x^2 + 12x +3. Find the coordinates of each turning point and determine their nature.

The turning point of a curve can be visualised in your head (or on paper/screen using diagram) as the point in which the curve charges direction – and at this point the gradient of the curve is equal to 0 as...
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Answered by Dan S. • Maths tutor
5732 Views

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
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Write 156 as a product of its prime factors.

Before we begin to answer this question we need to have a clear idea of what a prime number is: A prime number is a number greater than 1 that cannot be found by multiplying 2 smaller numbers. To answer this...
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Answered by Alexander A. • Maths tutor
22547 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
5123 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
6957 Views