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Use implicit differentiation to find the derivative of 2yx^2, with respect to x.

To solve this question we use the product rule, where we differentiate one variable whilst keeping the other constant, and vice versa, adding the two results together to get our answer. A helpful formula is ...
DW
Answered by Daniel W. • Maths tutor
9172 Views

Calculate the volume of revolution generated by the function, f(x) = (3^x)√x, for the domain x = [0, 1]

First we recall the general formula for the volume of revolution: V = π ∫ [f(x)]² dx Substituting our function, this gives: V = π ∫₀¹ (3^x)² x dx We could write (3^x)² as 3^(2x), or we could notice that this...
RH
Answered by Reece H. • Maths tutor
6308 Views

Express Cosx-3Sinx in form Rcos(x+a) and show that cosx-3sinx=4 has no solution MEI OCR June 2016 C4

Cosx-3sinx =R(CosxCosa-SinxSina) 1=Rcosa R^2=1^2+3^2 r=(10)^0.5=(approx)3.16 a=1.249 3.16Cos(x+1.249)=4 has no solution as 4<3.16 so as cos(theta) has maximum value of 1, there are no solutions
JP
Answered by Jakub P. • Maths tutor
5674 Views

Find CO-Ordinates of intersection of 2x+3y=12 and y=7-3x

Picture of Answer available on request
JP
Answered by Jakub P. • Maths tutor
4840 Views

Differentiate the function f(x) = (x^2 - 1)^3

Using the chain rule: f '(x) = (2x) (3) (x^2 - 1)^2 = 6x(x^2 - 1)^2
JB
Answered by James B. • Maths tutor
3695 Views