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Maths
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Given the points (6,6) and (10,8) calculate the gradient of the line passing through them and the point at which it intersects the y-axis?

To find the gradient use the formula:m = (y2-y1)/(x2-x1)Plug in values:m = (8-6)/(10-6) = 1/2Hence gradient = 1/2--Now using the equation for a line y = mx+c and point (10,8)8 = 1/2*10 + cc = 3Hence when ...

GA
Answered by Gilad A. Maths tutor
3711 Views

Describe and explain three adaptations of succulent plants that allow them to live in hot and dry conditions.

There are many to choose from here but we'll take the two most important. Many succulents such as cacti have needles instead of leaves. This reduces the amount of water lost via transpiration meaning that...

HP
Answered by Henry P. Maths tutor
5224 Views

Integral between 0 and pi/2 of cos(x)sin^2(x)

The key point in here is noticing that the derivative of sin(x) is cos(x). That way, if we rename sin(x) as u , i.e u:=sin(x), the derivative will be du=cos(x)dx. So, inside the integral, instead of havin...

ML
Answered by Maria L. Maths tutor
4266 Views

What is the derivative with respect to x of the function f(x)=1+x^3+ln(x), x>0 ?

Despite the hideous view, we can apply to this function the same methodology as all the other ones: break it down to pieces. What we mean is that we recognize three terms inside f(x): one is the number 1 ...

ML
Answered by Maria L. Maths tutor
3313 Views

Anne picks a 4-digit number. The first digit is not zero. The 4-digit number is a multiple of 5. How many different 4-digit numbers could she pick?

We know that a digit can be a number between 0 and 9. In this case, the first digit can't be 0, so it has to be a number between 1 and 9. So, we have 9 possible choices for the fi...

XD
Answered by XENI D. Maths tutor
10326 Views

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