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Find the area enclosed between C, the curve y=6x-x^2, L, the line y=16-2x and the y axis.

First we need to find the intersection point(s) of L and C so set 6x-x 2 =16-2x and rearrange to get x 2 -8x+16=0 so (x-4) 2 =0.Repeated root so line is tangent to the curve at x=4, y=16-2(4)=8 that is the p...
DM
Answered by David M. • Maths tutor
4105 Views

find the coordinates of the single stationary point of the curve with equation y=8x^2 + 2/x

rewrite the equation in a more helpful way:y=8x 2 + 2x -1 differentiate:dy/dx = 16x -2x -2 set equal to 0 and solve for x16x -2x -2 = 016x -2/ x 2 =016x= 2/ x 2 16x 3 =28x 3 =1x 3 =1/8x=1/2note: x cannot be ...
PR
Answered by Pavan R. • Maths tutor
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There are 720 boys and 700 girls in a school. The probability that a boy chosen at random studies French is 2/3 The probability that a girl chosen at random studies French is 3/5 . Work out the number of students in the school who study French.

To find out how many students take French, start by finding out how many boys take it, and then how many girls, and the sum of these will be the total number of students taking French.There are 720 boys, and...
IS
Answered by Isabelle S. • Maths tutor
8068 Views

Express 9^3x + 1 in the form3^y ?

In these types of question, you need to find out how the integer relates to the new integer - it will be by integrals. We can see that 9 is just 3 x 3 which is 3^2. Thus we now have 3^2(3x +1). As we know fr...
PM
Answered by Polly M. • Maths tutor
4275 Views

The equation of line L1 is y=5x-2. The equation of line L2 is 4y-20x=6. Show that these two lines are parallel.

Let's start by recalling that two lines are parallel when their gradients are equal. We know that the gradient of the line y=mx+c, is m. So the gradient of L1 is 5 as the equation of the line is already in t...
OC
Answered by Oliver C. • Maths tutor
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