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Find the turning value of the following function, stating whether the value is min or max, y = x^2 -6x + 5

First the student needs to differentiate the function to find dy/dx = 2x-6At dy/dx = 0, we know the curve is stationary. Now we can work out the x value such that x = 3Put x=3 back into the original equation...
JW
Answered by Joseph W. • Maths tutor
5062 Views

The sixth term of an arithmetic sequence is 8 and the sum of the first 15 terms is 60. Find the common difference and list the first three terms.

Formulae to be used: n th term of an arithmetic sequence u n = u 1 + (n-1)d and sum of the first n terms of an arithmetic series S n = (n/2) * (2u 1 + (n-1)d) Substitute known values: u 1 + 5d = 8(15/2) * (2...
BC
Answered by Bence C. • Maths tutor
1884 Views

What should I be talk about in my personal statement for medicine/dentistry? How should I order it? What needs to stand out?

Medicine and dentistry are very competitive courses with limited spaces, so the application process can be very long and frustratingly hard but I will take the student through every process that I did using ...
ZA
1711 Views

solve 3 cos (2y )- 5 cos( y)+ 2 =0 where 0<y<360 degrees

cos(2y)= (cos(y))^2 - (sin(y))^2 identitynow consider identity (cos(y))^2+(sin(y))^2=1by rearranging this to (cos(y))^2 - 1 = - (sin(y))^2 we can now substitute it into our first identity to obtaincos(2y)= 2...
LS
Answered by Leah S. • Maths tutor
4103 Views

Solve the Equation: 2ln(x)−ln (7x)=1

This is an equation laid out in terms of the natural logarithm, which essentially is the reverse function of e x . From this equation we need to find a solution for x =? Since we know that this equation invo...
DG
Answered by Dhruv G. • Maths tutor
6392 Views