- Messages
- 1,594
- Reaction score
- 483
- Points
- 93
Why not? sin x = opp/hyp. The hypotenuse in this case is AN and the perp. would be the same as BCSilent Hunter said:how sinx = BC/AN ??
We are currently struggling to cover the operational costs of Xtremepapers, as a result we might have to shut this website down. Please donate if we have helped you and help make a difference in other students' lives!
Click here to Donate Now (View Announcement)
Why not? sin x = opp/hyp. The hypotenuse in this case is AN and the perp. would be the same as BCSilent Hunter said:how sinx = BC/AN ??
abcde said:(iii) f(x) = k
=> 4 - 3 sin x = k
=> sin x = (4 - k)/3
sin x has values ranging from 1 to -1.
=> -1 ≤ (4 - k)/3 ≤ 1
=> k ≤ 7, k ≥ 1.
So for the function to have no solution, the ranges of k are: k > 7 and k < 1.
(iv)For g to have an inverse, it must be a one-to-one function (any horizontal line through the graph should intersect it at most once.From the sketch below, you can see that the greatest value would be 3 pi/2. If this value is exceeded, a horizontal line can cut the graph of g twice!
abcde said:(i) 1.10^n (5.20) = C
Use natural logarithm to form a linear equation in n and C:
=>n ln 1.10 + ln 5.20 = ln C
3.20^n (1.05) = C
=> n ln 3.20 + ln 1.05 = ln C
The two equations can now be equated:
n ln 1.10 + ln 5.20 = n ln 3.20 + ln 1.05
Rearrange the equation and you'll get n = 1.50 (correct to 3 sig. fig.)
Therefore, C = 3.20^1.50 (1.05) = 6.00 (3 s.f.)
(ii) n ln x + ln y = ln C
The graph of ln y against ln x would be a straight line as it has the above linear equation for ln y and ln x.
Hope you understand. If not, please review the properties of logarithms.
Yes, you can! You'll get the same answer. Logarithms have the same properties whether it's the natural logarithm ln or the one to base 10. Just remember to use ln when you have an expression containing e^something. Since there's no such specification here, I think you can opt for lg.unique840 said:yar how can u say that we will use ln? cant we use lg? :%)abcde said:(i) 1.10^n (5.20) = C
Use natural logarithm to form a linear equation in n and C.
AoA!Silent Hunter said:How to solve this one?
a = 2sinx + cosx
b = 2cosx - sinx where x is from 0 to 360 (included)
show that a^2 + b^2 is constant for all values of x???
For almost 10 years, the site XtremePapers has been trying very hard to serve its users.
However, we are now struggling to cover its operational costs due to unforeseen circumstances. If we helped you in any way, kindly contribute and be the part of this effort. No act of kindness, no matter how small, is ever wasted.
Click here to Donate Now