It is a recursive method such that the output becomes the new input, the goal is to approach the zero by having the inputs change by a smaller amount each iteration until that change is nearly 0.
First, let me explain where the method comes from.
The formula is really just a manipulation of the slope formula using 2 points; the point tangent to the curve, and the point where the tangent line crosses the x-axis.
If (x,y) is point on curve, then (x*,0) is point on tangent line at x-axis.
Rearranging for x*:
This is the formula for newtons method. y = f(x), dy/dx = f'(x)
Now what happens is (x*,y*) becomes new point on curve with new tangent line with different slope.
This new line will cross x-axis at different point x** and so on until eventually f(x) gets really really close to 0.
Now for the example:
you need to take derivative f'(x) using product rule:
Then its just a matter of plugging in values for x, and repeating until we get close to a zero.
First plug in x = 1
Now we can stop because x5 = x4 to 6 decimals, this means f(x) is very close to 0 and will serve as a good approximation for a solution.
x = 0.860334
First frequency f = 153.846 Hz
Second period T = 1.625 ms
Step by stepplanation:
T = 6.5ms= 6.5*(10^-3)
But T = 1/f
f = 1/T
f = 1(6.5*(10^-3))
f = 153.846 Hz
Now the frequency f is increased by a factor of 3
New frequency = 461.538+153.846
= 615.384 Hz
New period T = 1/615.384
Period T = 1.625*10^-3
T= 1.625 ms
a P(x) = Q(x)
b. R(x) = Q(x)
c. R(x) = P(x)
This is a statement of logical connectives.
a P(x) = Q(x)
b. R(x) = Q(x)
c. R(x) = P(x)
d. Yes, (c) follows from (a) and (b)
(c) is equivalent to ∀x ¬ P(x) ∨ Q(x)
Follow the tautology (X→Υ) Ξ(¬x∨Υ)
This gives X: R(x) ∧ ¬ P(X)
d) Yes, it does.
P(x) = “x is a clear explanation”
Q(x) = “x is satisfactory”
R(x) = “ x is a excuse”
We will be denoting “such that” as “:” and “not” as “~”
a) All clear explanations are satisfactory.
b) Some excuses are unsatisfactory.
c) Some excuses are not clear explanations.
d) Does (c) follow from (a) and (b)?
Yes, it does.
(a) can be expressed as “If x is a clear explanation then x is satisfactory”
is equivalent to
So (a) can be paraphrased as
“If x is not satisfactory then x is not a clear explanation”
Joining b) and a) we get
“Some excuses are not satisfactory and if a excuse is not satisfactory then the excuse is not a clear explanation”
From here we deduce that,
“Some excuses are not clear explanations”
A) The author examines problems and solutions previous to the agricultural revolution to establish a solid background in order to present new ideas.
could be used as Guthrie used them, as support during hard times.
Time period, T1 = 6.5 ms
= 6.5 × 10^-3 s
Frequency is the reciprocal of time period.
f1 = 1 / T1 = 1 / (6.5 × 10^-3) = 153.85 Hz
Now the frequency becomes 3 times
f2 = 3 × f1 = 3 × 153.85 = 461.55 Hz
The new period is
T2 = 1 / f2 = 1 / 461.55
= 0.0022 second = 2.22 ms
The result will be affected.
The mass of KHP weighed out was used to calculate the moles of KHP weighed out (moles = mass/molar mass).
Not all the sample is actually KHP if the KHP is a little moist, so when mass was used to determine the moles of KHP, a higher number of moles than what is actually present would be obtained (because some of that mass was not KHP but it was assumed to be so. Therefore, there is actually a less present number of moles than the certain number that was thought of.
During the titration, NaOH reacts in a 1:1 ratio with KHP. So it was determined that there was the same number of moles of NaOH was the volume used as there were KHP in the mass that was weighed out. Since there was an overestimation in the moles of KHP, then there also would be an overestimation in the number of moles of NaOH.
Thus, NaOH will appear at a higher concentration than it actually is.
The author generally presents ideas sequentially, with clear explanations of causes and effects to support the explanation of the agricultural revolution.
This is actually the correct answer not the one above. I took the test.
divided 3/4 and 6
answer: yes i agree that you should not put it on brainly
step-by-step explanation: the reason for this is that it wastes other peoples time and also make them fail as well and that is never good.