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What is the equation of a curve with gradient 4x^3 -7x + 3/2 which passes through the point (2,9)?

The important thing to note is that examiners always give the minimum amount of information for the question to still be answerable. If you have not used all the information then you probably haven't answere...
RN
Answered by Ruth N. • Maths tutor
3914 Views

Solve the following simultaenous equations

6a + 3b = 7 (1) 4a + 4b = 12 (2) We need to eliminate one of the variables in our simultaneous equations in order to be able to find a numerical value. As the same signs are used in both equations (i.e. addi...
MJ
Answered by Millie J. • Maths tutor
4162 Views

Find the equation of the tangent of the curve y = (8x)/(x-8) at the point (0,0)

We will be using the quotient rule, although the product rule is also usable and can be run through if the student wishes. Firstly, define u = 8x, v = x-8 for simplicity. Then clearly u' = 8, v' = 1, and so ...
TK
Answered by Timofey K. • Maths tutor
3952 Views

Differentiate sin(x^3) with respect to y

For this we must use the chain rule. We start by defining x 3 as a new variable, u = x 3 Can then rewrite the expression as y = sin(u) Chain rule tells us that dy/dx = (dy/du)(du/dx) We can calculate these i...
LB
Answered by Lloyd B. • Maths tutor
7593 Views

Solve the simultaneous equations; 3x+2y=11 and 2x-2y=14

2y=11-3x and 2y=2x-14 11-3x=2x-14 25=5x thus x=5 3(5) +2y=11 2y=-4 thus y=-2
HS
Answered by Harrie S. • Maths tutor
7597 Views