
Brillant, isn’t it?
In marketing sense,
Upsell refers to selling a similar and expensive product/service.
For example: You walk in to a mobile phone shop wanting to buy a basic phone. However, the salesman is trying to sell you the latest model of Apple iPhone. In this context, we say that the salesman is involved in upselling because an iPhone is a phone and it is more expensive than a mobile phone.
Cross-sell refers to selling a completely different product/service.
For example: You walk in to a mobile phone shop wanting to buy a basic phone. However, the salesman suggests that you should upgrade your mobile plan to enjoy free data access. In this context, the salesman is involved in cross-selling because a mobile plan is completely different from a mobile phone.

Extracted from: http://www.wretch.cc/blog/cwwany/26692785
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Q1: y = ln(2x)
d/dx [(ln(2x)] = 1/2x . 2
= 1/x
Q2: y = ln(x)^2
d/dx [ln(x)^2] = 1/x^2 . 2x
= 2/x
Alternatively, ln(x)^2 = 2 . ln(x)
d/dx [2 . ln(x)] = 1/x . 2
= 2/x
Q3: y = ln(4x^2)
d/dx [ln(4x^2)] = 1/4x^2 . 8x
= 2/x
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a4 – b4 = (a2 + b2)(a2 – b2)
Since (a2 – b2) = (a + b)(a – b)
a4 – b4 = (a2 + b2)(a + b)(a – b)
Q: Three consecutive terms of a G.P. have a sum of 28 and a product of 512. Find the three terms.
Solution:
Let the three numbers in G.P. be (a/r), a, ar
(a/r) * a * ar = 512
a3 = 512
a = 8
(a/r) + a + ar = 28
sub 8 into a, since a = 8
(8/r) + 8 + 8r = 28
8(r2 + r + 1) = 28r
r2 + r + 1 = 3.5r
r2 – 2.4r + 1 = 0
Using roots of quadratic equations formula,
r = (1/2) or r = 2
With a = 12, d = 1/2 or 2
First term: 8 * 2 = 16
Second term: 8
Third term: 8 * (1/2) = 4
OR
First term: 8 / 2 = 4
Second term: 8
Third term: 8 * 2 = 16
Q: Three consecutive terms of an A.P. have a sum of 36 and a product of 1428. Find the three terms.
Solution:
Let the three numbers in A.P. be (a-d), a, (a+d)
(a-d)+a+(a+d) = 36
3a = 36
a = 12
(a-d)(a)(a+d) = 1428
a(a2-d2) = 1428
12(122-d2) = 1428
(144-d2) = 119
d2 = 25
d = sqrt(25)
= +5 or -5
With a = 12, d = +5 or -5
First term: 12-5 = 7
Second term: 12
Third term: 12+5 = 17
OR
First term: 12+5 = 17
Second term: 12
Third term: 12-5 = 7
Answer: 7, 12, 17