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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
5027 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
1874 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
4080 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
6360 Views

Fahima buys 2 packets of bread rolls costing £1.50 for each packet 1 bottle of ketchup costing £1.60 3 packets of sausages Fahima pays with a £10 note. She gets 30p change. Fahima works out that one packet of sausages costs £2.30 Is Fahima right?

Let's denote the price of sausages as S as it's the only unknown.Let's use simple algebra to solve this.To find the total price of all of the items she purchased ( i.e. the value), we multiply price by the q...
MC
Answered by Maria C. • Maths tutor
12712 Views