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Differentiate 2x^3 - xy^2 - 4

Differentiate the first term 2x3 as normal by multiplying the coefficient of x by the power and subtracting the power by 1 to get 6x 2 . For the next term you have to use the product rule as you have two var...
EV
Answered by Elena V. • Maths tutor
3726 Views

The length of a rectangle is five times the width. The area of the rectangle is 180cm^2. Work out the width of the rectangle.

Lets start off by calling the width of rectangle 'w'. The length of the rectangle is 5 times the width, or '5w'. The area of a rectangle can be worked out by multiplying the length by the width, i.e. 5w x w=...
HW
Answered by Hannah W. • Maths tutor
15914 Views

Find the gradient of the line on which the points (1,3) and (3,4) lie and find the y-coordinate of the line at x = 7.

The gradient is m = (y1-y0)/(x1-x0) = (4-3)/(3-1) = 1/2. So the equation of the line is y= x/2 + c where c is a constant. To find the constant, c, we will input one of the given coordinates (1,3). This shows...
RL
Answered by Ryan L. • Maths tutor
3943 Views

Solve the following equation 2x^2+6x=8

2x^2+6x-8=0fx^2+3x-4=0(x-1)(x+4)=0x=-4 or x=1
HR
Answered by Hannah R. • Maths tutor
3485 Views

Tom's dad is 3 times older than him. In 15 years the sum of Tom's and his dad's ages will be equal to 102. How old are Tom and his dad now?

Assume that Tom's age now is x and that his dad's is 3x. Therefore, in 15 years Tom will be x+15 years old and his dad will be 3x+15 years old. Since the sum of their ages will be equal to 102, we can formul...
EF
Answered by Ewelina F. • Maths tutor
4418 Views