Need Math Help.

I need some help with some A'Level Maths. I've got an exam in 3weeks and if I pass I finish school. Finally.

Anyway, I was doing questions, and have some problems. Can anyone solve these questions for me? Then tell me how they did it... Thanks

Question 6
http://files.fusion-tec.net/images/6axOL.GIF


Question 10.
http://files.fusion-tec.net/images/10a1BQ.GIF

 

As it's your exam and the purpose of that exam is to see if you have learned what you were suppose to or not so wouldn't the better question be: Can anyone assist me in figuring out how to resolve these problems? You don't even state how far you get with the equations before you get stuck...that would be a good place to start. That way YOU are working out the answers as you should be.

 

Questions like these make me glad I'm done w/ school.

 

Now I remember why I hated A level Math 22 years ago!!!

 

I can solve these and the solutions are trivial. I won’t provide you with the solutions to these since you need to work them out for yourself otherwise you won’t learn. I will provide you with some hints. I would have expected your course tutor to have taught you the basics of vector algebra and calculus.

6. Note that the equation of a line through 2 points is:

a + r * ( b – a )

Where a is the vector to the first point and b to the second point. The value r is variable real number and if it set to zero the equation yields the coordinates at a and when it is one yields the coordinates at b. The vector given by (b – a) is along the line and you need to show that this is parallel to the plane – use the vector form of the plane equation to show this. The parametric equation for the line can also be expressed in a similar way using the second point as the origin but you don’t need this to solve the problem but it may help you in visualising the problem.

For the coordinates of point C construct the line through A perpendicular to the plane and calculate its intersection. The perpendicular to the plane can easily be found from the vector equivalent equation for the plane – hint: think vector dot-products and what it means when vectors are perpendicular. This will yield the normal vector to the plane which consequently can be read directly from the plane’s vector equation.


10.(i) You have all the information in the question to construct this equation. Recall that the rate of change of x with respect to y is written as dx/dy. Also note that when a is linearly proportional to b then a = r * b + c where r is variable real number and c is an offset at the place where b is zero.

(ii) Two ways to do this: Simply differentiate the equation in (ii) with respect to t and rearrange to get the result. Alternatively, derive the solution to the differential equation in (i) and rearrange in terms of t.

Final part is to perform the definite integral for h = 64 to 81 and the hint is to use the substitution rule to solve the integral.

 

OOOOH...OOOH...I've almost got it now!!!! The only problem I have now is trying to figure out the answer!!!!

Roger

 

LOL as always in mathematics the answer is a lemon - well not quite, just need to learn the procedure methods for solving problems using the symbols of the mathematical language.

 

Yeah well...it's hard to understand the instructions when they are in hebrew!!!!

But, hey...that's just me!!!!

Roger