Other Math Answers

The nth derivative of the function t(x) where t(x)=5x^6 - 9x^5 +3x^3 - 0.5 is a cubic function.
(a)State the value of n.
(b)Find the ratio of coefficient in x^3 to the coefficient in x^2 of the cubic function giving your answer in the form 1:k(1 is to k)where k is a fraction in its simplest form.

A cube is cut into 216 identical smaller cubes. In how many different ways can the smaller cubes be arranged to form cuboids of different surface areas if no two cubes are to be placed one above another?
(1) 6
(2) 8
(3) 14
(4) 16

The position vectors of the points A and B are (1,5,3) and (3,6,6). Find the vector equation of the line AB and the points where the line intersects the coordinate planes.

For the three vectors a=(1,1,1), b=(5,2,-6) and c=(3,-7,5) show that a∙b=a∙c and interpret the results.

A ship travels 84 km on a bearing of 17°, and then travels on a bearing of 107° for 135 km. Find the distance of the end of the trip from the starting point, to the nearest kilometer

12x + 7x =

the orthocentre of the triangle formed by the lines x-2y+9=0,x+y-9=0,2x-y-9=0

the orthocentre of the triangle formed by (0,0),(5,-1),(-2,3) is

Obtain the Fourier series for the following periodic function which has a period of 2pie:
f (x) = {-1/2 (pie - x) for (-pie) < x <0
{1/2 (pie + x) for 0 < x < (pie)

Find the length of the parametric curve
x=cos^3t,y=sin^3t,0<t<pi/2