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Find the gradient of the equation y=e^2x.ln(4x^2) when x=5.

>First know that you must differentiate to find the gradient. To differentiate this function you must use the product rule which is:>d/dx(f(x)g(x))=f(x)g'(x)+f'(x)g(x)>Now apply this rule to the ...

AS
Answered by Akshina S. Maths tutor
3953 Views

Simplify, leaving your answer as a quadratic: (2x + 3)/(x+4) - (3x - 6) = 4

(2x + 3)/(x+4) - (3x - 6) = 4 Initial equationTimes all terms by (x + 4) (2x + 3) - (3x - 6)(x + 4) = 4 (x + 4)Multiply out the brackets (2x + 3) - (3x2 + 12x - 6x - 24) = 4x + 16Remove from br...

AO
Answered by Anya O. Maths tutor
3458 Views

A quarter circle has a radius of 6 cm. Calculate the area of the quarter circle.

It is very easy to calculate the area of the whole circle and divide it by 4.The area of the whole circle can be calculated using the formula A = pir2, where r is the radius of the circle a...

AD
Answered by Ana D. Maths tutor
9445 Views

Find the area of the rectangle, in cm, with width 4x and length (y+5). Then calculate the area for x = 7 and y = 8.

To start, we need to state that the area of a rectangle is the length multiplied by the width. Therefore, the area will be 4x multiplied by (y+5). Now to do this we need to expand the bracket. To expand t...

TP
Answered by Toby P. Maths tutor
2815 Views

There are 12 counters in a bag. There is an equal number of red counters, yellow counters and blue counters in the bag. There are no other counters in the bag. 3 counters are taken from the bag. Work out the probability of taking 3 red counters.

If there are 12 counters in a bag,each with colour either red, yellow or blue, we can say that the number of red counters, blue counters and yellow counters must add up to 12.R + B + Y = 12 ( R = No. of R...

LB
Answered by Lewis B. Maths tutor
14665 Views

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