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Integrate the following between 0 and 1: (x + 2)^3 dx

Initially, we must recognise the simplest way to integrate this equation is using the 'reverse chain rule' method. This means raising the value of the power, in this case '3', by one, and then dividing by th...
WE
Answered by Will E. • Maths tutor
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How do you sketch the graph of y=(x-1)/(x+1)?

The first step in tackling this problem is to find the intersection points of the graph with the x and y axes. The y-intercept can be found by substituting x=0 into the function, so y=(0-1)/(0+1)=-1 and the ...
LG
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Differentiate the following: 4x^3 + sin(x^2)

dy/dx = (4 * 3)x (3-1) + 2x (2-1) *cos(x 2 ) = 12x 2 + 2xcos(x 2 )
MB
Answered by Maisy B. • Maths tutor
4755 Views

Explain the adaptations plants have to survive hot environments

Plants in hot environments have adaptations to their stomata. These are, having a lower density of stomata and also closing their stomata during the day, when it the environment is warmest. This reduces the ...
MB
Answered by Maisy B. • Biology tutor
25228 Views

The line AB has equation 5x+3y+3=0. It is parallel to a line with equation y=mx+7. What is m?

If the lines are parallel then when the line AB is given in the form y=mx+c then the gradient m of AB is equal to that of the other line. Rearranging the equation for line AB gives y=-(5/3)x-1 so m=-(5/3)
MT
Answered by Mina T. • Maths tutor
4930 Views