Recent content by Timiop2008

A tuning fork oscillates with simple harmonic motion described the equation: x = 0.00150cos(2770t) (where t is seconds) a) calculate the frequency in Hz of the tuning fork b) Suggest why only this tuning fork (taken from a set of 10 forks) gets louder when held above a glass bottle full...

The Plug of a new steel, electric kettle says "power rating 2.5W" a) The metal wall of the kettle and the water inside the kettle always remain close to thermal equilibrium, even when the water boils. Explain how this is true. b) The kettle uses 300J to raise its temperature by 1 Kelvin...

A working circuit contains a 3V power supply, a 5000uF Capacitor, and a 200ohm resistor. a) What is the time constant for the circuit? b) What is the charge in coloumbs on the capacitor at a potential difference of 3V? c) How much energy is stored on the Capacitor at a potential difference...

For the Parametric Equations Question, can you do part (a) by thinking of x=cost as cos=k and y=2-cos2t as y=2-k2t where k is some constant? Can you sketch the graph by calculating a table of values of x,y and t from -3 to 3?

This is my attempt at question (1) (3x-1)/(x+3)^2 = A/(x+3) + B/(x+3)^2 (3x-1)/(x+3)^2 = A(x+3)/(x+3)(x+3) + B/(x+3)^2 (3x-1)/(x+3)^2 = Ax+3A/(x+3)^2 + B/(x+3)^2 now cancel all the denominators to get 3x-1=Ax+3A+B I don't know where to go from here

Hi Can anybody help me with these 3 problems?: 1) Express (3x-1)/(x+3)^2 in the form A/(x+3) + B/((X+3)^2) where A and B are constants. 2) A curve C has parametric equations: x=cost and y=2-cos2t (between 0 and pi) a)prove this can be expressed as the cartesian equation y=3-2x^2 b)...

3cosecx-5sinx=2 3cosecx-5sinx(sinx)=2(sinx) 3cosecx-5sin2x=2sinx ... this is not a quadratic is it??

Yes, I think 1(b) is: cos(x)cot(x) = cos(x)[cos(x)/sin(x)] = cos²(x) / sin(x) = [1 - sin²(x)] / sin(x) = [1/sin(x)] - [sin²(x)/sin(x)] = csc(x) - sin(x) but I don't have a clue about 1(a) I can only get to: [3(1/sinx)]-5sinx-2=0 and then don't know how to carry on

Hi. I would appreciate if anybody could help me with the following: 1. a)Solve 3cosec x-5sin x = 2 for 0<x<360degrees b) Prove that cosecx - sinx = cosx cotx 2 a) f(x) is x + ln(3x-4). Show how to convert f(x) into the iterative formula b) If x0=1, write values of x1, x2, 3 until a...

Hi Can anybody check the answers to this question?. I am not sure if they are correct. I would appreciate if anyone can help me with the last part, (c). Thanks A Parallel Circuit contains three components attached in parallel a 4.5V Cell, a 2200uF Capacitor and a 5.6kΩ resistor. A switch in...

so is it: y=ex+1 0≤x≤1 =∫(between 0 and 1) of pi y2 dx =∫(between 0 and 1) of pi ((e^x)+1)2 dx =∫(between 0 and 1) of (e^2x+2e^x+1) dx = Pi[(1/2)e^2x+(2e)^x+x] between 0 and 1 = [1/2e^(2x)pi+(2e)^xpi+xpi] between 0 and 1 =((1/2e)^2pi+2epi+pi) - (1/2)pi+2pi) = (1/2)e+2epi-(3/2)pi...

Do you agree that this is the correct solution for Question 3? y=ex+1 0≤x≤1 =∫(between 0 and 1) of pi y2 dx =∫(between 0 and 1) of pi (ex+1)2 dx =∫(between 0 and 1) of (e2x+2ex+1) dx = Pi[1/2e2x+e2x+x] between 0 and 1 = Pi[1/2e2+e2+1] - [1/2e0+e0+0] = Pi[1/2e2+e2+1] - [1+1+0] =...

Yes but is it ln(27) or ln(27)+C

So for Q2, is it correct to say: 31∫x dy y= 3/x so x=3/y =31∫(3/y)dy =31∫3lny =3ln3-3ln1 =3ln3 =3.30

Please Help! - Integration, Rate of Change, and Volume of Revolution Questions Hi I have completes these following questions but am not sure if I have done them correctly as it is a long time since i studied these topics. I would really appreciate any help. :-) 1 Simplify the following as...