Top answers

Evaluate the integral (write on whiteboard, too complicated to write here)

Make sure integral is in terms of sines and cosines onlyFactor out sine of numerator and make fraction in terms of cosineSubstitution y=cos(x)Fractions decompositionAnother 2 substitutionsSolve
GL
Answered by Gemma L. • Maths tutor
3815 Views

How do I solve an equation with both x and y variables (simultaneous equation)?

A simultaneous equation is calculated to find the pair of co-ordinates where two straight lines cross on a graph, so the question you've probably been asked is to 'solve' a pair of linear equations. This mig...
TD
Answered by Tutor127404 D. • Maths tutor
3717 Views

Simplify: 4log2 (3) + 2log2(5)

4log2 (3) + 2log2(5)= log2 (3)^4 + log2 (5)^2= log2 (3^4x5^2)=log2(81x25)=log2(2025) The solution will be explained with the formula for- loga(x) +loga(y)=loga(xy)
MM
Answered by Mihaela M. • Maths tutor
6718 Views

simplify a^m x a^n

a^m+n
ED
Answered by Ethan D. • Maths tutor
5163 Views

Given that z = sin(x)/cos(x), use the quoitent rule to show that dZ/dx = sec^2(x)

let u = sin(x) and v = cos(x) => z = u/v. The quoitent rule is (u'v - v'u)/v^2, where u' = du/dx, v' = dv/dx. In this case du/dx = cos(x) and dv/dx = -sin(x) => u'v = cos^2(x) and v'u = -sin^2(x) =>...
KH
Answered by Katie H. • Maths tutor
4419 Views