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Two functions, y1 & y2, are given by y1=x^2+16x+4; y2=2(3x+2). Find analytically the volume of the solid created by revolving the area between the two curves by 2pi radians around the x-axis. N.B. y2>y1 on the interval between the points of intersection.

Setting the two equations equal to one another to find the intersection boundaries:x^2+16x+4=6x+4; x^2+16x+4-6x-4=0; x^2+10x=0;x(x+10)=0; x=0, x=-10. Setting up the volume of revolution (N.B. Due to typing r...
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Answered by Filippos G. • Maths tutor
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How does Shakespeare present Lear's daughters in Act One, Scene One?

From its outset, Shakespeare’s ‘King Lear’ challenges the fundamental qualities of human relationships and connections that are traditionally thought to be stable. In particular, it is the institution of the...
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Answered by Millicent G. • English tutor
6176 Views

Find exact solution to 2ln(2x+1) - 10 =0

Isolate the 'ln term' 2ln(2x+1) = 10ln(2x+1) = 5 Take to the exponential power form e^(ln(2x+1)) = e^52x+1 = e^5 Simplify 2x = e^5 -1x = (e^5-1)/2
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Answered by Johnny D. • Maths tutor
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In the photoelectric effect, what happens as you increase the frequency of light keeping the same intensity constant?

E=hf, so as you increase the frequency of light, the energy of each photon hitting the metal surface is greater. Thus the electrons liberated from the surface of the metal have a greater maximum kinetic ener...
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Answered by Alexander J. • Physics tutor
30277 Views

A roll of card has an area of 43 m^2. A postcard has an area of 125 cm^2. How many post cards can be cut from the roll, assuming there is no wastage? (calculator question)

This question is assessing your knowledge of units and their conversion. Notice that the area units of the roll of card and the postcard are different, so it is important that before we carry out any calcula...
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Answered by Hafsah G. • Maths tutor
3448 Views