Top answers

Find the stationery points of x^3 + 3x^2 - 24x + 7 and determine whether the slope is increasing or decreasing at x=3.

i) We must differentiate the equation and set it equal to 0 to find stationery points: dy/dx = 3x 2 + 6x + 24=0 Note we can take out a factor of 3 x 2 + 2x - 8=0 Factorise (x-2)(x+4)=0 State x values x=2 or ...
MM
Answered by Michael M. • Maths tutor
1900 Views

Given g(x) = 4* sin (3*x), find the value of g'(pi/3).

Using the table of standard derivatives given at the beginning of the Higher Paper we have, for f(x) = sin(a x), f'(x) = a * cos (a x)and so with this we have, g(x) = 4 * sin(3 x), g'(x) = 4 * 3 * cos(3 x) =...
RM
Answered by Romy M. • Maths tutor
1321 Views

Given x^3 + 4x^2 + x - 6 = 0 , and one of the factors of this equation is (x-1), factorise and hence compute the other solutions for the eqaution.

Using either polynomial long division or by inspection, the equation can be reduced to:(x-1)(x 2 +5x+6) The other bracket can the be factored out using inspection or the quadratic formula to give:(x-1)(x+2)(...
Answered by • Maths tutor
1622 Views

The equation x^2 + (k-5)x + 1 = 0 has equal roots. Determine the possible values of k.

So the first part of this question is regarding your knowledge and understanding on the subject matter. You should know that for real and equal roots, (b 2 - 4ac)=0. (For real and unequal roots, it is >0 ...
Answered by • Maths tutor
6285 Views

The line, L, makes an angle of 30 degrees with the positive direction of the x-axis. Find the equation of the line perpendicular to L, passing through (0,-4).

What is the question asking us? -To find the equation of a straight line, and to do that we need two pieces of information, what are they? 1. the gradient of the line and 2. a point on the line. Now from the...
AS
Answered by Amy S. • Maths tutor
8727 Views