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Find the first 3 terms, in ascending powers of x, of the binomial expansion of (2 – 9x)^4 giving each term in its simplest form.

(2-9x)^4 [2(1-4.5x)]^4 (2^4)(1-4.5x)^4 Using the binomial expansion formula 16[1+(4*(-4.5x))+(((4*(4-1))/(12)))(-4.5x)^2] 16[1-18x+121.5x^2] 16-288x+1944x^2

LJ
Answered by Lauren J. Maths tutor
7766 Views

How to find gradient of functions

To find the gradient of a function, that has constant gradient you pick any two points. You label both the x and y co-ordinates of these two points.Then you subtract the y co-ordinates of these two points...

SH
Answered by Sinan H. Maths tutor
3418 Views

Solve the equation: x^2+x-12=0

x=-4, x=3

JH
Answered by Jordan H. Maths tutor
3111 Views

Integrate the function f(x) where f(x)= x^2 +sin(x) + sin^2(x)

Answer: Integral= x3/3+ x/2 - cos(x) -1/4 sin(2x) + C Using the general rule that integrating xn results in x(n+1)/(n+1), x2 integrates to x3/3.sin(x...

CH
Answered by Charlie H. Maths tutor
4334 Views

Determine the coordinates of all the stationary points of the function f(x) = (1/3)*x^3+x^2-3*x+1 and state whether they are a maximum or a minimum.

To find the answer you must first differentiate the function and set this equal to zero. This forms the quadratic equation x^2+2x-3=0 which can then be solved either by factorisation or by using the q...

AN
Answered by Alex N. Maths tutor
3697 Views

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