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A curve is given by the equation y = (1/3)x^3 -4x^2 +12x -19. Find the co-ordinates of any stationary points and determine whether they are maximum or minimun points.

Stationary points - dy/dx =0dy/dx = x 2 -8x +12 ( differentiating- early a level skill). Solving x 2 -8x +12=0 gives x=6, x=2 (solving quadratics- gcse skill). Subbing these values back into the original equ...
JC
Answered by Joseph C. • Maths tutor
3654 Views

In a class of 28 students, the average height of the 12 boys is 1.58 metres. The average height of the class is 1.52 metres. What is the average of the girls?

If we take x to be the total heights of the all the boys (1.58 * 12) be x and y to be the total height of all the students (1.52 * 28) then we may define the total heights of the girls, z, as y – x. If we di...
MB
Answered by Micah B. • Maths tutor
11078 Views

One apple costs 0.56p, if i wanted 12 Apples what would be my total?

Method1) 1 Apple = £0.56 10 Apples = £0.56 x 10 = £5.60 I want 12 Apples, so 10 Apples = £5.60 + 1 Apple = £0.56 + 1 Apple = £0.56 + Total: 12 Apples = £6.72 Method 2) 0.56 x 12 = £6.72 - Grid method multipl...
AM
Answered by Aqeeb M. • Maths tutor
2356 Views

Simplify the Equation, 60x+20y-4x-10y

60x+ 20y - 4x -10y Step 1 ) collate the X's together = 60x -4x = 60-4= 56 add the x = 56x Step 2) collate the Y's together = +20y - 10y = +20 -10 = +10 add the y = +10yStep 3) add answers to step 1 and 2 tog...
AM
Answered by Aqeeb M. • Maths tutor
2923 Views

Andrew buys a Laptop for £600 which includes 20% VAT. What is the price of the Laptop without VAT?

£600 includes 20% VAT Therefore £600 is 100% of original price + 20% from VAT, meaning £600 is a 120% price increase in accordance to original price.120% as a decimal is 1.2 - simply divide by 100 to get % i...
AM
Answered by Aqeeb M. • Maths tutor
5560 Views