What evidence supports a scientist's conclusion that fossil B is older than fossil A?
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The approximations T8 and M8 for the given integral are:
- T8 = 33.386321; and
- M8 = 33.50794
An Integral is a variable of which a given function is the derivative, i.e. it gives that function when differentiated and may express the area under the curve of the function's graph.
<h3>What is the explanation to above answer?</h3>Given:
F(x) = 37 cox (x²)
Internal = [0,1] n = 8 in Δ x = 1/8
The sub intervals are:
[0, 1/8], [1/8, 2/8], [2/8, 3/8], [ 3/8, 4/8], [ 4/8, 5/8], [ 5/8, 6/8], [6/8, 7/8], [ 7/8, 1]
The mid points are given as:
1/16, 3/16, 5/16, 7/16, 9/16, 11/16, 13/16, 15/16
and X₀ = 0, X₁ = 1/8, X₂ = 2/8
Using the Trapezium Rule which states that: = Δx/2
= 1/1Q[f(0) + 2f (1/8) + 2f(2/8) + ....+ 2f(7/8) + f(1)]
= 0.902333
Now
T8 =
=
= 37 (0.902333)
T8 = 33.386321
It is to be noted that the midpoints rule is given as; = Δx [f(1/16) + (3/16) + .... + f(15/16)]
= 1/8[f(1/16) + f (3/16) + f(5/16) + f(7/16) + f(9/16) + f(11/16) + f(13/16) + f(15/16)]
= 0.905620
From the above,
M8 =
=
= 37 (0.905620)
M8 = 33.50794
Learn more about integral at;
brainly.com/question/19053586
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The number of electrons passes through 20 ohms resistor in 10 minutes is 5.625e+21.
<h3>What is a resistor?</h3>In an electronic circuit, a resistor is an electrical component that limits or regulates the flow of electrical current.
Given, the resistance is 20 ohms.
The potential difference is 30 volts
Time is 10 minute
By the formula of current
The charge flowing through the resistor is 1.5 C/s
1 electron charge is 1.6e+19
Now, the number of electrons passing through a 20 ohms resistor is
In 10 minutes
Thus, the number of electrons passes through 20 ohms resistor in 10 minutes is 5.625e+21.
Learn more about a resistor
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