Top answers

Find the points where f(x)=x^2-5x-14 meets the x-axis and find the turning point

Set x^2-5x-14=0. So (x-7)(x+2)=0So function meets x-axis at (-2,0) and (7,0). To find turning point, differentiate function and set equal to 0.2x-5=0. So x=5/2. Substitute x=5/2 into f(x) to give y coordinat...
DB
Answered by Daanesh B. • Maths tutor
4942 Views

If a curve has equation y=(4/3)x^3-2x^2-24x+16, find dy/dx and find the coordinates of the turning points.

y=(4/3)x 3 -2x 2 -24x+16Step 1: Understand the questiondy/dx means differentiate the function of y with respect to xturning points are where the gradient of the function changes and will be found by setting ...
JP
Answered by Johann P. • Maths tutor
3665 Views

ABCDEFGH is a cuboid. AB=5.6 cm CH=7.2cm. Angle BCA=44degrees. Find the size of the angle between AH and the plane ABCD giving your answer correct to one dp.

Remember: sin θ=opposite/hypotenuse cosθ=adjacent/hypotenusetanθ=opposite/adjacent AC=5.6/sin(44) = 8.0615...We can then use this length to calculate the angle between AH and the plane ABCD (here would be an...
AR
Answered by Alex R. • Maths tutor
5514 Views

How do I skecth a grpah of y = x^2 - 7x + 10?

To plot any graph, you usually only need to find a few points that are on that graph to the sketch it. With a quadratic like this, the easiest way to do this is to find where the graph crosses the x and y ax...
IB
Answered by Ilaria B. • Maths tutor
7638 Views

There are n sweets in a bag. 6 of them are orange, the rest are yellow. Hannah takes a random sweet, she eats the sweet and repeats again. The probability that hannah eats two orange sweets is 1/3. Show that n2 - n - 90 = 0.

The best way to think approach question is thinking of it like a tree diagram.We know there are n sweets in total. Therefore the probability of eating 1 orange sweet the first time is 6/n.The probability of ...
SN
Answered by Selina N. • Maths tutor
3446 Views