Currently unavailable: for regular students
Degree: Physics (Masters) - Oxford, Balliol College University
|Biology||A Level||£22 /hr|
|Chemistry||A Level||£22 /hr|
|French||A Level||£22 /hr|
|Maths||A Level||£22 /hr|
|Physics||A Level||£22 /hr|
Rebecca (Student) May 11 2016
Gerard (Parent) May 12 2016
Mark (Parent) May 11 2016
Shirley (Parent) May 3 2016
For the first part, we consult the formula c=fλ. This tells us that wavelength is inversely proportional to frequency.. ie as one increases the other decreases. This means the lowest(fundamental) frequency goes with the longest wavelength. If you consult a diagram of a vibrating string, you'll see that the greatest wavelength is equal to twice the length of the string.(This is because there must be a node at each end, and is best shown with diagrams).
So the wavelength we are looking for is 1.6x2= 3.2m. Since this is a sound wave c=340m/s. All our numbers are in the correct units, so we may proceed, using f=cλ. The answer is f=106.25Hzsee more
Here we are dealing with force, pressure and area so we use the formula F=PA. We simply slot in the given numbers where P=1x105, and A=1. The resulting force is 1x105N.
Here, we must apply both chain and product rules. The chain rule can be used to find the derivative of a function in the form ef(x), like this one. However it is useful to know that this will result in the following: f'(x)ef(x)... in other words the solution is always the derivative of the power times the initial equation. Knowing this can save a lot of time in the exam- it appears a lot.
Now, our only issue is finding the derivative of 4xtanx... this requires the product rule(the derivative of a product function uv= vdu+udv). In this example u=4x and v=tanx. Now du=4 and dv=sec2x. Slotting these into the above formula we get: 4tanx+4xsec2x.
All that is left is to bring together these two parts to get: d(e4xtanx)/dx= (4tanx+4xsec2x)e4xtanx.see more