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Find the equation of the normal to the curve y = 2x^2 -3x +7 at the point x = 1.

Thinking about the normal, it is a line which cuts the curve at right angles, and so will have the form y = mx + c. Now at the point where x = 1, we know the y value from the curve's equation is y = 2(1)<...

MJ
Answered by Matthew J. Maths tutor
8050 Views

Solve the simultaneous equations y = x + 3 and y = x^2 + 3x

Step 1: Recognise the quadratic term, this cannot be solved through elimination. Therefore we must need to use substitution. Substitute y = x + 3 into the quadratic. Gives x + 3 = x2 + 3xStep 2...

SN
Answered by Sam N. Maths tutor
6567 Views

n is an integer such that 3n + 2 ≤ 14, and 6n/(n^2 + 5) >1. Find all possible values of n.

Step 1: Simplify 3n + 2 ≤ 14 3n ≤ 12 n ≤ 4 and 6n > n^2 + 5 0 > n^2 -6...

CM
Answered by Catriona M. Maths tutor
10757 Views

With reference to relevant research studies, to what extent is one cognitive process reliable

The extent to which memory is a reliable process has been extensively explored empirically. Despite the importance based on eye witness testimony within legislation, as early as 1932, research indicated t...

MH
Answered by Millie H. Psychology tutor
2486 Views

Solve (x+10)(x-16)=0

x+10=0x= -10x-16=0x= 16

ST
Answered by Sophie T. Maths tutor
2862 Views

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