9514 1404 393
Answer:
- (c1, c2, c3) = (-2t, 4t, t) . . . . for any value of t
- NOT linearly independent
Step-by-step explanation:
We want ...
c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0
Substituting for the fn function values, we have ...
c1·x +c2·x² +c3·(2x -4x²) ≡ 0
This resolves to two equations:
x(c1 +2c3) = 0
x²(c2 -4c3) = 0
These have an infinite set of solutions:
c1 = -2c3
c2 = 4c3
Then for any parameter t, including the "trivial" t=0, ...
(c1, c2, c3) = (-2t, 4t, t)
__
f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)
YQ/SQ = JB/DB
YQ/72 = 60/45
YQ = 72*(60/45) = 96
Selection D is appropriate.
Answer:
9/12 and 10/12
Step-by-step explanation:
The LCD is the smallest number divisible by both 4 and 6, and that is 12.
Thus, 3/4 and 5/6 are equivalent to 9/12 and 10/12 .
Next time, kindly share the answer choices. Thank you.
Answer:
Volume of medication in the cup = 50.24 cubic inches
Step-by-step explanation:
Volume of the cylindrical cup = πr^2h
Radius, r = 2 inches
Height, h = 8 inches
Volume of the cylindrical cup = πr^2h
= 3.14 × 2^2 × 8
= 3.14 × 4 × 8
= 100.48
Volume of the cylindrical cup = 100.48 cubic inches
If David only fills the cup half way,
then, the volume of medication in the cup = Total volume of the cylinder / 2
= 100.48 inches / 2
= 50.24 cubic inches
volume of medication in the cup = 50.24 cubic inches
Answer:
2155.13
Step-by-step explanation:
Pi * r(squared)*h
