Top answers

Solve the following: sinx - cosx = 0 for 0≤x≤360

We know that sinx/cosx = tanx. Therefore we can write sinx - cosx = 0 as sinx = cosx . By diving both sides by cosx, we get tanx = 1. By taking tan inverse of both sides, we can see that for 0≤x≤360, we get ...
AK
Answered by Aaman K. • Maths tutor
17714 Views

Why does integration by parts work?

Recall the product rule for differentiation: the derivative of uv is equal to u'v+uv'.If we use the fact that integration reverses differentiation (so the integral of f' is f), then we calculate that uv is e...
TB
Answered by Thomas B. • Maths tutor
5272 Views

A curve has equation 2(x^2)+3x+10. What is the gradient of the curve at x=3

15
TE
Answered by Tom E. • Maths tutor
4150 Views

A curve has equations: x=2sin(t) and y=1-cos(2t). Find dy/dx at the point where t=pi/6

Since this question concerns parametric's, one may move to eliminate t from the equation to calculate dy/dx directly. However, in this case it is much easier to use the chain rule and realise that dy/dx=dy/d...
CH
Answered by Cameron H. • Maths tutor
6281 Views

Functions: If f(x)=3x^2 - 4 and g(x) = x + 3, 1) Evaluate f(3), 2) Find the inverse of f(x) (f^-1(x)), 3)Find fg(x).

in this case x=3 so you substitute it into f(x) to get f(3) = 3(3) 2 - 4 = 3*9 -4 = 27 - 4 = 232) There are 2 methods to this question, a logical method, and a more mathematical method. The logical method is...
JP
Answered by Jason P. • Maths tutor
6568 Views