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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) 2 -...
MJ
Answered by Matthew J. • Maths tutor
9274 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 = x 2 + 3xStep 2: Rearrange t...
SN
Answered by Sam N. • Maths tutor
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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 -6n + 5 Factorise (n-5)(n-1) < 0 Step 2: Let (n-5)(n-1) = 0, so n=5 or n=1 If (n-5)(n-1) < 0, then 1<n<5 (use graph/subst...
CM
Answered by Catriona M. • Maths tutor
12096 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 that...
MH
Answered by Millie H. • Psychology tutor
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Solve (x+10)(x-16)=0

x+10=0x= -10x-16=0x= 16
ST
Answered by Sophie T. • Maths tutor
3426 Views