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Find the volume of revolution when the area B is rotated 2 pi radians about the x axis

First must recall the formula, of pi multiplied by the integral of y 2 After this, the correct integration should be applied, using an appropriate method that the student has learnt The correct limits used i...
LS
Answered by Louis S. • Maths tutor
9874 Views

Differentiate the following: 3/2 x^(3/4) + 1/3 x^(-1/4)

In simple differentiation, we can use the fact that if y= x^n, dy/dx is equal to nx^(n-1). In other words, multiply the x term by the power, then decrease the power by 1. Here we have 2 terms so approach the...
AW
Answered by Alex W. • Maths tutor
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Draw y + 14 = x ( x - 4 ) and label all points of intersection with axes.

To begin with, lets rewrite the equation in a way which is easier to understand by making y the subject and multiplying out the brackets: y = x 2 - 4x - 14 this looks significantly easier to understand and i...
TF
Answered by Thomas F. • Maths tutor
3819 Views

Differentiate: sin(x) + 2x^2

To tackle this problem, we will spilt the two terms given. Firsly, we'll take the sin(x) by itself: d/dx (sinx) = cos(x) - where d/dx means the differential of what is inside the bracket. This is a key diffe...
EL
Answered by Emma L. • Maths tutor
4376 Views

The curve C has equation 2x^2y+2x+4y-cos(pi*y)=17 A) Use implict differenciation to find dy/dx B) point P(3,0.5) lies on C, find the x coodinate of the point A at which the normal to C at P meets the x axis.

A) dy/dx = (-4xy-2) / (2x 2 +4+pi sin(pi y) B) (62+3*pi) / (22+pi)
AH
Answered by Alisha H. • Maths tutor
5357 Views