That's such a bad idea. You gave away an easy 10 marks. Always tackle the easiest marks first.
I guessed a few short answers. Went horribly on last question.
The answer was right. Remember, no value for y exists when x is pi/2. Tan(90) is still undefined, so tan(tan^-1(pi/2)) is undefined. The graph would look like:
Can you type the first one up on this? Online LaTeX Equation Editor
Second:
2sin(^2)x + cos x -2 = 0
2(1 - cos(^2)x) + cosx - 2 = 0
2 - 2cos(^2)x + cosx - 2 = 0
2 cos(^2)x - cosx = 0
cosx(2cosx - 1) = 0
cosx = 0 or cosx = 1/2
Solve for x
You wrote the question wrong.
Proof:
Let b = 3a (i.e. 2nd root 3 times the first).
Your equation: 2(x^2) + pq + q
a + 3a = 0 (no x^1)
4a = 0
Therefore a=0, 3a = 0, two roots are 0, not true.
Invalid question =p
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edit: p & q are constants or not? If not, then p(q + 1) = 0
p = 0 or q = -1...
Well the mean would just be the sum of the series divided by the number of terms.
So for an AP, if we let a=first time, l=last term:
Sn = 1/2n(a + l)
Sn/n = 1/2(a+l)
= 1/2(5+51)
= 28 (assuming by 5&51, you mean 5 is first term, 51 is last term)
Same logic applies to a GP.
Sn = a(r^n -...
@untouchablecuz: dont have pen+paper, doing phys review. tried doing your q, and failed first time on ms word. takes too long, ill try later with paper. answer me this though. i get it down to y-y1=m(x-x1), when x=0, y=0, hence y1 = mx1. Am I meant to solve for m?
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^^^
I'm not that great...
You missed a minus in your answer. Been a while since I did probability. I'm assuming by different she can't pick the same square twice?
i. 32P3/64P3 = 5/42
ii. 2 x 5/42 = 5/21
iii. 1- 5/21 = 16/21
Let me know if I'm wrong.
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Using the substitution u = 2x + 1 or otherwise, integrate...
e^2x+3e^x-10=0
Let u = e^x
u^2 + 3u - 10 = 0
(u-2)(u+5) = 0
u = 2 or -5
e^x = 2 or e^x = -5
x = ln(2) or x = ln(-5) [not solution]
Therefore x = ln2
Differentiate y = cos(ln(x) + 1)