20 Most Recent Vivendi Excel@ Mathematics Study Skills (71101) for PC, Mac Questions & Answers

Use the rule for differentiating products of functions: ()' signifies derivative
(29*sin(2X)*sin(X))'= (29)'*sin(2X)*sin(X) +29* (sin(2X))'*sin(X) +29*sin(2X)*(sin(X))'
But

1. (29)'=0 derivative of a constant is zero
2. (sin(2X))'=cos(2X)*(2X)'=2*cos(2X)
3. (sin(X))'=cos(X)

Result is
(29*sin(2X)*sin(X))'= 29*2*cos(2X)*sin(X)+29*sin(2X)*cos(X)

You could also have cast your formula in the form
sin(2X)*sin(X)= 1/2[ cos(2X-X)-cos(2X+X)]=1/2[cos(X)-cos(3X)]
then calculated the derivative of
29/2*[cos(X)-cos(3X)]
which is
29/2*[-si(X) +3*sin(3X)]

The challenge for you is to prove that the two forms are equivalent
29*2*cos(2X)*sin(X)+29*sin(2X)*cos(X)=29/2*[-si(X) +3*sin(3X)]

An alphabet is the set of symbols used to write words. The individual symbols are called letters. 5 Letter Words

• bairn
• binal
• blain
• brail
• brain
• libra

To find the answer, take the square of the first number and subtract from it the square root of the second number: 5 squared is 25 sgrt of 4 is 2; 25-2=23 9 squared is 81 sqrt of 9 is 3; 81-3=78 so: 3 squared is 9 sqrt of 81 is 9; 9-9=0 The answer is zero!

Q1: can also be written: 3 = 5 28 x solving for x; x = 5*28 = 46.7 3 so 3:28::5:46.7 Q2: can also be written 12 = 20 30 y solving for y; y = 30 * 20 = 50 12 so 12:30::20:50

2012 is answer (5) square = 25 , 25-5 = 20 , (5)square = 25 , 25+5 = 30 so == 2030, (3)square = 9 , 9+3 = 12, (5)square = 25 , 25-5 = 20 so == 1220, now 5) square = 25 ., 25-5 = 20, 3)square = 9 , 9+3 = 12the +,-,+,- series is continued.

answer 18. a^2-b^0.5= 3^2+81^0.5=18

0000 to 9999 These are the permutations not combinations.

The answer you're looking for, is 98The expression shown as a+b=c is actually carried out as axb+b+2xaexamples:5x5 + 5 + 2x5 = 25+5+10 = 403x4 + 4 + 2x3 = 12+4+6 = 226x9 + 9 + 2x6 = 54+9+12 = 752x3 + 3 + 2x2 = 6+3+4 = 13and9x8 + 8 + 2x9 = 72 + 8 + 18 = 98

98 (x+y) + ((y+1)*x) = ANS HARSH

410

That is not factoring you need but simplifying.First you deal with the numerical numbers -14/12=-7/6Then consider the letters a/a=1c/c=1Thus (-14abc/12ac)=(-7/6)(a/a)b(c/c)=(-7/6)(1)(b)(1)=-7b/6If you have a product each symbol separated by a multiplication sign from another symbol is called a factor. Remember that the multiplication sign is not always shown.

The answer is 98:
2 + 3 = 2 * ( 2 + 3 ) - 2 = 8
3 + 7 = 3 * ( 3 + 7 ) - 3 = 27
4 + 5 = 4 * ( 4 + 5 ) - 4 = 32
5 + 8 = 5 * ( 5 + 8 ) - 5 = 60
6 + 7 = 6 * ( 6 + 7 ) - 6 = 72
7 + 8 = 7 * ( 7 + 8 ) - 7 = 98

There are 60 seconds in a minute and 60 minutes in an hour,
so there are 60*60 or 3600 seconds in an hour.
2,000,000 seconds is 2,000,000/3600 hours, which is about 555 and a half hours

18 groups of 7 is 18*7 = 126
20 groups of 6 is 20*6 = 120
so 18 groups of 7 is greater.

Assuming the Belvedere Arms sells only food and drink:
a) Total sales for the week is the sum of the drink sales and food sales, £11,800 + £5,600 = £17,400
b) Sales budget is £16,200, so performance is (17,400-16,200)/16,200 = 1200/16200 = .074 which is up by 7.4%
c) Profit on food is £3,640 on total food sales of £5,600. 3640/5600 = .65 or 65%
d) Profit on drink is £8,496 on total drink sales of £11,800. 8496/11,800 = .72 or 72%
e) Total profit is £12,036 on total sales of £17,400. 12,136/17,400 = .697 or 70%

The current area of the pond is 18m by 12 m, so, if A is the current area, A=18*12
Twice the area would be 2A and it is to be accomplished by adding the same amount, say x, to both dimensions. In symbols, that is:
2A = (18+x) * (12+x)
But we know A is 18*12, so
2(18*12) = (18+x) * (12+x) ; doing the arithmetic
432 = (18+x) * (12+x) ; doing the multiplication using FOIL (first, outside, inside, last)
432 = 18*12 + 18x +12x + x*x ; simplying
432 = 216 + 30x + x*x ; or
0 = -216 + 30x + x*x : or
x*x + 30x -216 = 0 ; using the quadratic equation (or factoring)
(x-6) (x+36) = 0
This has two solutions, 6 and (-36). Since a negative number doesn't make sense in this case, the answer is to add 6m to each side.

Check (18+6) (12+6) = ?
24 * 18 = ?
432 , which is indeed twice the original area of 216 ( = 18*12)

33% of 127 means 33/100 * 127 = (33 * 127)/100 = 4191/100 = 41.91