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How do you calculate a number to the power of a fraction? (8^2/3)

When a number is raised to the power of a fraction, it is the same as rooting that number to the denominator (the number on the bottom). So if the number is raised to ½ it is the same as √ and if it is raise...
KS
Answered by Katie S. • Maths tutor
62491 Views

What are the missing numbers in this sequence? 2, 4, 8, ..., 32, ..., 128

First, we need to look for a pattern. What are we needing to do to get from one number to the next? As you can see, we are multiplying each number by two to get the next number. 8 multiplied by 2 is 16, and ...
OU
31272 Views

The velocity of a particle is given by the equation v= 4t+cos4t where t is the time in seconds and v is the velocity in m s ^-1. Find the time t when the particle is no longer accelerating for the interval 0≤t≤2.

This problem tests two key sub-topics in calculus, kinematics and the chain rule. Firstly, you must realise that the derivative of a velocity function will give you the acceleration function. So by finding t...
MB
Answered by Marc B. • Maths tutor
7024 Views

Find the points at which the equation y = x^2 - 12x + 35 intersects the x-axis.

To find the points at which an equation intersects the x-axis, we first need to factorise the equation to be able to find the solutions. To do this, we consider the general form of a quadratic equation ax^2 ...
SH
Answered by Sam H. • Maths tutor
6979 Views

Differentiate y= exp(cos^2(x)+sin^2(x)) by using the chain rule.

First of all instead ,we'll define the chain rule , thus y can be rewritten as y = f (g(x)) , where f(x) = exp (x) and g(x) = cos^2(x) + sin^2(x). Therefore let y = f(u) , dy/dx = dy/du * du/dx , which then ...
AJ
Answered by Ayman J. • Maths tutor
4676 Views