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#### 2happy

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« on: November 05, 2007, 10:39:59 pm »
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derive of 50e^(t2+1)

the "independent term" in the expansion of ___________?
Is it just the number OR both?

The values btwn 0 and 2pi  for which ksinx+1=0 are?

If tan theta=x  thhen tan((pi/2)- theta) is equal to  ?

On exam 1: can u put: translated 5 units up/down and left 3 units?
that's all for now
e: 16 year old against them: 17-18 year olds

NO EXAMS left this year

Spesh, Kehm, Fysiks, Ing, C SL 2008

_________
Mix it Up TM

#### Collin Li

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« Reply #1 on: November 05, 2007, 10:55:37 pm »
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I'm not sure what you mean by half of these questions.

i) Assuming you meant 50e^(t^2+1)
Using the chain rule: 100t*e^(t^2+1)

ii) Independence is not a facet of the Methods course.

iii) ksinx+1=0
=> sinx = -1/k (Q3 and Q4)
=> x = Arcsin(-1/k) [By definition, Arcsin(A) is defined for -pi/2 ≤ Arcsin(A) ≤ pi/2]

This means Arcsin(-1/k) will return an answer from the interval [-pi/2, 0] (Q4). We need to add 2pi in order to move this into [0,2pi], then we should also construct the corresponding Q3 angle.

=> x = Arcsin(-1/k) + 2pi and x = 2pi - Arcsin(-1/k)

iv) tan(θ) = x,
=> tan(π/2 - θ) = 1 / tan(θ) = 1 / x

This can be seen if you draw a right-angled triangle, with angles: θ and π/2 - θ, then use the definition: tangent = opp/adj

v) What do you mean? What sort of question? If it tells you to describe the transformations, yes you can. I think the preferred terminology is "translation -5 units parallel to y-axis (down)"