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How do I calculate negative powers?

The power of a number indicates how many times that number must be multiplied by itself. If the power is a negative, this means that the number (or the base) is a fraction, with the base as a denominator....

Answered by Molly N. • Maths tutor

10506 Views

given that angles A and B are such that, sec^2A-tanA = 13 and sinBsec^2B=27cosBcosec^2B

First of all key elements required for this question is the knowledge or retrival of these equations: tan² + 1 =sec² A tan(A-B) = (tanA-tanB)/(1+tanAtanB) so for the first equation...

Answered by Joshua M. • Maths tutor

11041 Views

Given that y=((4x+1)^3)sin2x. Find dy/dx.

To answer this we will need to use the product rule which is as follows: For y=uv, dy/dx=u'v+uv' where u' is the derivative of u and v' is the derivative...

Answered by Benjamin G. • Maths tutor

3355 Views

f(x) = 4x - m, g(x) = mx + 11, fg(x) = 8x + n. m and n are constants. Find the value of n.

If f(x) = 4x - m, and g(x) = mx +11, then the combined functions are: fg(x) = 4(mx +11) -m, or expanded to fg(x) = 4mx + 44 - m.

We are told that this function of 'f' and 'g' can also be written as...

Answered by Angus B. • Maths tutor

4594 Views

Expand and simplify the following expression: (2x-1)(3x+2)

Use a double-bracket expansion method such as FOIL (first, outer, inner, last). If you don't know FOIL or how to expand double brackets, don't worry, I will explain it to you in the session.