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find the stationary point of the curve for the equation y=x^2 + 3x + 4

dy/dx = 2x +32x + 3 = 0x= 3/2(3/2)² + 3(3/2) + 4 = 2.25 + 4.5 + 4 = 10.75

Answered by Isabelle H. • Further Mathematics tutor

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A straight line passes through the point (0, 6) and is perpendicular to y = 4x - 5. Find the equation of this line, giving your answer in the form y = mx + c .

perpendicular so the gradient is -1/4
y= -1/4x +CSub in the coordinate (0,6)
6 = -1/4 (0) +C
C=6y=-1/4x +6

Answered by Maria S. • Maths tutor

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factorise x^2 - 8x -65

Two numbers add/ subtract to make -8Two numbers multiply to make -65. These are 1 and 65 as well as 5 and 13Seeing as 1 and 65 cant add or subtract to make -8 the numbers we'll use are 5 and 13. These als...

Answered by Kavi C. • Maths tutor

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Explain the meaning of the terms (a) gene and (b) allele

Gene = the portion of DNA coding for a particular proteinAllele = one of the alternative forms of a gene

Answered by Charlotte F. • Biology tutor

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Find the positive solution to the equation (x^2+9x+18)/(x^2-9)=10

If we first factorise the top and the bottom of the equation we can see that the top is equal to (x+6)(x+3) and the bottom is (x-3)(x+3). This means we can divide the top and bottom by (x+3) giving us a r...

Answered by Joseph R. • Maths tutor

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