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1. The curve C has equation y = 3x^4 – 8x^3 – 3 (a) Find (i) d d y x (ii) d d 2 y x 2 (3) (b) Verify that C has a stationary point when x = 2 (2) (c) Determine the nature of this stationary point, giving a reason for your answer.

To differentiate use formula. multiply factor by power then minus one from power (where x is invloved) dy/dx = 12x^3 - 24x^2 d^2y/dx^2 = 36x^2 - 48x (this is just a further differentiation) b) to find statio...
EI
Answered by Elysa I. • Maths tutor
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How do I find the equation of a straight line from a graph?

Let's use a general equation for straight lines, y= mx +c. Here, the m and c represent numbers (or constants), which will differ for each specific line. The number in the place of the m is the gradient of th...
KM
Answered by Katherine M. • Maths tutor
3911 Views

Solve 5w – 3 = 3w + 15

You need to solve the question so this means you need to work out the value of w. To work out the value of w you rearrange the terms and make w the subject of the equation. Start with minusing 3w on both sid...
DH
Answered by Danielle H. • Maths tutor
9112 Views

Triangle PQR is a right angled triangle. PQ is the hypotenuse and is 5cm long and QR has length 3cm. What is the length of side PR? Show your working.

Pythagoras' theorem is used to calculate the lengths of the sides of a right angled triangle. The theorem is as follows : a 2 = b 2 + c 2 , where a is the length of the hypotenuse. The hypotenuse is the side...
KM
Answered by Khadija M. • Maths tutor
15230 Views

What is the difference between mutually exclusive and indepedent events?

Let's say that we have two events and we'll call them event A and event B. If these events were mutually exclusive then these events would not be able to occur at the same time. For example, if Real Madrid a...
CS
Answered by Callum S. • Maths tutor
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