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Search results
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Mental Quiz On Vectors (A Levels)
Created a brand new mental calculation quiz to test your concept of vectors which you can access here: http://www.whitegroupmaths.com/2013/04/quiz-4-vectors.html Enjoy. Peace. -
Free Short Preview of Sixth Term Examination Paper (STEP) worked problems Volume 1
The Sixth Term Examination Papers (STEP) worked problems volume 1 (full) is now available for sale in White Group Mathematics Online Store: http://www.whitegroupmaths.com/2013/03/aisle-3.html Get your copy today. Peace. -
Mathematics: Post your doubts here!
It is fine if you choose the alternate set of inequalities, because at the point for x=3, both -4x+12 and 4x-12 will give a y value of zero. The modulus function is piecewise continuous. Hope this clarifies. Peace. -
Mathematics: Post your doubts here!
Generally speaking, d/dx { ln[f(x)] } = f ' (x)/ f(x) d/dx(ln cosec x) = (-cosec x cot x)/ cosec x = -cot x (shown) (Note that in this instance f(x) = cosec x and f '(x) =- cosec x cot x ) Hope this helps. Peace. -
Mathematics: Post your doubts here!
The contents of this moduli function is -4x+12. Depending on whether -4x+12 is positive or negative, we will proceed to redefine things sans the modulus brackets. Therefore, it simply means |-4x+12| = (i) -4x+12 for -4x+12 ≥0 ====>x ≤3 (simply remove the modulus sign since the contents are... -
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Mathematics: Post your doubts here!
Note that for when k=2, cos^2 x will have a range given by [ 0, 1] for the domain [0, pi] Hence, the range of f would be [ 3-4 =-1, 3-0=3] (shown) Hope this helps. Peace. -
Mathematics: Post your doubts here!
2x-y-3z = 7 --------(1) x+2y+2z = 0 -----------(2) (1)*2 + (2): 5x-4z = 14 =====> x =1/5 ( 14 +4z) ---------(3) Substitute (3) into (1): 2/5 ( 14 +4z) - y - 3z =7 28/5 +8/5 z - y -3z =7 y= -7/5 - 7/5z Hence, vector equation of line is given by r = (x, y ,z)... -
Mathematics: Post your doubts here!
Thanks for pointing it out. Peace. -
Free Short Preview of Sixth Term Examination Paper (STEP) worked problems Volume 1
I will be publishing a full e-book volume of solutions to STEP III problems (which are basically harvested from collections 1, 2 and 3 on my main site) later this year. Pricing of the book will be announced in due time. For now, here is a sneak preview of the volume... -
Mathematics: Post your doubts here!
I have written extensive material regarding volume of revolution on my website here: http://www.whitegroupmaths.com/2010/02/understanding-matters-5.html Hope it helps. Peace. -
Mathematics: Post your doubts here!
Just remember the basic idea of frictional force as one opposing the motion of an object. However, if you are looking at a stationary object, make sure you consider the static coefficient of friction. Do also note the direction in which the object has a tendency to move so as to determine how... -
What's a Student to Do (with a bad math teacher)
Wrote something for Dr Diana Perdue's blog: http://www.rimwe.com/the-solver-blog/22.html Hope it will brighten up your day. Peace. -
The Challenge of Mathematics
No problem, I assume you are from Lahore as mentioned in your side profile? Peace. -
The Challenge of Mathematics
A bumping on this early Wednesday morning. Peace. -
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Mathematics: Post your doubts here!
Do you mean sin(X) raised to the power of 3? Because if that is the case, the answer you provided is incorrect. d/dx [ sin^3 (X)] = d/dx [ sin (X) ] ^3 = 3 [ sin (X) ] ^2 * cos(X) (shown) For your answer provided, 3sin^2(2X) = 3[ sin(2X) ] ^2... -
Mathematics: Post your doubts here!
I believe listing them out in a systematic fashion is the only way to go. Peace. -
Mathematics: Post your doubts here!
You would have to employ the chain rule of differentiation. Generally speaking, if you are asked to differentiate [ f(x) ]^n wrt x, then the derivative is given by n* [ f(x) ]^(n-1) * f '(x) If we consider your example (3x^2+2x)^3, then f(x)= 3x^2+2x , n=3 and f '(x)= 6x +2, which... -
The Challenge of Mathematics
Bumping this up on a very Monday morning. Peace.
