Answer:
V(x) = (x +4)(x +2)(2x +11)
Step-by-step explanation:
For length L = (x+4), the height is ...
2L +3 = 2(x+4) +3
= 2x +8 +3
= 2x +11
The volume is the product of length, width, and height, so is ...
V = (x +4)(x +2)(2x +11)
Answer:
x = -3, y =3
Step-by-step explanation:
y = -4/3x - 1
y = 1/3x + 4 -------> 4y = 4/3x + 16
Adding the first equation and the new second equation together:
5y = 15 ------> y = 3
Plug y = 3 into one of the original equations:
3 = 1/3x + 4
-1 = 1/3x
x = -3
You would get 9e+46 so not a real answer, just an estimate of what the answer is.
The span of 3 vectors can have dimension at most 3, so 9 is certainly not correct.
Check whether the 3 vectors are linearly independent. If they are not, then there is some choice of scalars
(not all zero) such that

which leads to the system of linear equations,

From the third equation, we have
, and substituting this into the second equation gives

and in turn,
. Substituting these into the first equation gives

which tells us that any value of
will work. If
, then
and
. Therefore the 3 vectors are not linearly independent, so their span cannot have dimension 3.
Repeating the calculations above while taking only 2 of the given vectors at a time, we see that they are pairwise linearly independent, so the span of each pair has dimension 2. This means the span of all 3 vectors taken at once must be 2.
No13.
Answer:
Cos(x+x)=cosx*cosx-sinx*sinx
=cos2(x)-sin2(x)
=(cosx+sinx)(cosx-sinx)