First, recall that Gaussian quadrature is based around integrating a function over the interval [-1,1], so transform the function argument accordingly to change the integral over [1,5] to an equivalent one over [-1,1].
So,
Let
. With
, we're looking for coefficients
and nodes
, with
, such that
You can either try solving for each with the help of a calculator, or look up the values of the weights and nodes (they're extensively tabulated, and I'll include a link to one such reference).
Using the quadrature, we then have
Answer:
GCF = 12
Step-by-step explanation:
72 = 2³·3²
84 = 2²·3·7
Common prime factors are 2 and 3. The lowest power of 2 is 2; the lowest power of 3 is 1. The greatest common factor is 2²·3 = 12.
Answer:
Step-by-step explanation:
Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua, and Elicia is two years older than Tanisha. The sum of all their ages is 37. Use variable expressions and calculate the age of each girl
Let us represent:
The age of :
Tanisha = a
Elicia = b
Ajua = c
Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua
a = 2c
c = 2/a
Elicia is two years older than Tanisha.l
b = a + 2
The sum of all their ages is 37.
a + b + c = 37
We substitute
a + a + 2 + 2/a = 37
2a + 2 + 2/a = 37
Use variable expressions and calculate the age of each girl
Answer:
Depends on if someone's paddling, how fast the current is going, when the put the raft down, and how long the raft was down.
Step-by-step explanation:
By not completing the question there are a lot of questions within that particular question to figure out and ask questions about.
Answer:
Find the coordinates of the point on the y-axis which is nearest to the point (-2, 5). Hint: Any general coordinates on y-axis can be written as (0, y), as the x-coordinate on y-axis is always zero. Use this along with the distance formula to get the nearest point to (-2, 5).
