given a and b unit vectors, if the angle between them is 60degree calculate (6a+b) * (a-2b)
thx-Using distributivity and commutativity of dot product we have
(6a+b) • (a-2b) = 6a•a-11a•b-2b*b
Since a
[(ln x)^6dx] / xgiven u = ln x
x^4 sinx^5dxgiven u = x^5-For the first problem, u = ln(x) => du = dx/x => dx = x*du
=> int(ln(x)^6*dx)/x) = int(u^6*du) = u^7/7 + C
Plugging u = ln(x) back in...
=
I was given the equation of a line of best fit, and I think the values are very large it gave some of the values as ...+ 8E+13 +.... for example. What does 8E+13 mean? 8 with 13 zeros or 8 to the expo
given data and told to calculate mean and standard deviation. for 12 individuals. then it says it is proposed that 500 individuals are usedin a full study. comment on the expected changes in the mean
for my gcse mock exam, i had a question about compound interest.
what is it?
and also , if someone has a certain amount of money after 3 years of compound interest, how do you work out how much intere
Please show full working out with explanations-.. 66 2/3%
= .666666 ....
... _
= .6 ← where the _ over the number indicates that it repeats forever-2 divided by 3 is 0 remainder 2. Put a . after the 0
please can you help me with this question
the smallest positive integer value for n for which 168n is a multiple of 324 WITHOUT using a calculator
also tell me how you obtained ur answer thanks this
The equation is
[ (x-2) / (x+2) ] >= 0
when I solve it I am getting x>=2, but my book shows two solutions, one is x>=2and the other is x-Your solution probably looks something like
[(x-2)/(x+2)] >= 0
the plane with equation r = (1, 2, 3) +m(1, 2, 5) + n(1, -1, 3) intersects the y and z-axes at the points A and B respectively. Determine the equation of the line that contains these two points.
ans
The sum of the first 50 terms of an arithmetic series is 100. If the common differenc is 2, what is the first term?
i keep getting -23 but its not right......... :(-The sum of an arithmetic sequence i
A.4in
B.6in.
C.10in.
D.18in.-It is C. because when u have a triangle, the sum of any two sides has to be greater than the third side
in this case
11 + 5=16 > 10
5 + 10=15 > 11
11 + 10 = 21 > 11
but
The length of a rectangle is 3 times the width. If the length is decreased by 4 m and the width is increased by 1 m, the perimeter is 66 m. Find the dimensions of the original rectangle.-Let x = width
Are the direction vectors d=(0, -3, -2) and e=(0, 3, 2) the same?
Can you take out -1 and write (0, -3, -2) as (0, 3, 2)? Or does this make it another direction?-(0, -3, -2) = -(0, 3, 2). The first on
Whats the answer to 4x+7=10x-11?
Ive tried it like 10 times and i dont seem to be getting the right answer! Please Help!-Subtract 7 from both sides:
4x = 10x - 18
Subtract 10x from both sides:
-6x
