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Maths
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Given that y =2x^3 + 3/(x^2), find a) dy/dx and b) the integral of y

a) It is useful to rewrite the equation using power rules, so we get y = 2x3 + 3x-2Now we can simply use the differentiation rules where we multiply the coefficient (number before x)...

BS
Answered by Balint S. Maths tutor
7474 Views

Solve the simultaneous equations: 5x + y =21 and x - 3y = 9.

Rearrange x - 3y = 9 to make x the subject by adding 3y to both sides of the equation, giving x = 9 + 3y. Substitute the value of "x" in the second equation for "9 + 3y", giving: 5(9 ...

RS
Answered by Rebecca S. Maths tutor
15109 Views

ABCD is a rectangle with sides of lengths x centimetres and (x − 2) centimetres.If the area of ABCD is less than 15 cm^2 , determine the range of possible values of x.

First you interpret the given information and create an equation based on the question. x(x-2)<15. Then you express that equation in standard quadratic form: x^2-2x-15<0. Then you have to not forget...

Answered by Maths tutor
5857 Views

Lily is buying theatre tickets. 4 adult tickets at £15 each 2 child tickets at £10 each A 10% booking fee is added to the ticket price. 3% is then added for paying by credit card. Work out the total ticket price if Lily is paying by card?

First we need to find out the price of the tickets without the booking fee and credit card fee.4x15=602x10=2060+20=80 (This is the price of 6 tickets without fees)Now we calculate the booking fee, which i...

VP
Answered by Vaiva P. Maths tutor
4099 Views

Solve the simultaneous equation: x+2y=8 and 2x+y=10 - using a calculator

Make the x's the same in order to remove the x's from the eqn Multiply eqn (1) by 2 and keep eqn (2) the same to gain 2x+4y=16 and 2x+y=10To get rid of the x's, subtract: eqn (1) - eqn (2)4-1y = 16-10 whi...

RW
Answered by Robyn W. Maths tutor
3369 Views

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