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bonufazy [111]
3 years ago
10

Categorize the following logical fallacy.

Mathematics
1 answer:
Vlada [557]3 years ago
3 0

Answer:

d. Ad hominem

Step-by-step explanation:

A fallacy can be defined as a mistaken or false belief that are based on illogical arguments or reasoning.

However, a lot of people might actually think it to be true but it isn't. There are various types of fallacy, these include;

I. Black or white.

II. Non sequitur.

III. Appeal to moderation.

IV. Bandwagon.

V. Appeal to authority.

VI. Straw man.

VII. Oversimplification or hasty generalization.

VIII. Appeal to ignorance.

IX. Appeal to pity.

X. Ad hominem.

Ad hominem can be defined as a type of fallacy in which the motive, character, or some other aspect of a person is attacked rather than his or her position.

This ultimately implies that, Ad hominem is typically based on prejudices, emotions, or feelings rather than appealing to reason, intellect or substance.

In this scenario, John Bardeen's research work at the Advanced Institute for Physics has progressed so slowly that even his colleagues call him a plodder. As a result, the speaker concluded that it's prudent at present not to take seriously his current theory on how strings constitute the smallest of subatomic particles. Thus, the logical fallacy described above is an ad hominem because John's slowness in his research work is bone of contention for the speaker rather than analyzing and concentrating on his theory about strings.

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Graph the function y=<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20-2-5" id="TexFormula1" title="\sqrt{x} -2-5" alt="\sqrt{
Rashid [163]

Answer:

(3, -4)

Step-by-step explanation:

The correct equation is:

y=\sqrt{x-2}-5

From the list of given points, we have to identify which point lies on the graph. This can be done by using the value of x-coordinates from the given points and see if they result in the corresponding y-coordinate:

For point (1, 4)

y=\sqrt{1-2}-5=\sqrt{-1}-5, This is not equal to 4, so it does not lie on the graph of given function.

For point (3, -4)

y=\sqrt{3-2}-5=\sqrt{1}-5=-4, The answer ans corresponding y-coordinate are the same. This means, (3, -4) point lies on the graph of given function.

Likewise, checking for 3rd and 4th point we find out that they do not lie on the graph.

So the correct answer is (3, -4)

5 0
3 years ago
Please answer this question i have a test and need the answer ASAP
bekas [8.4K]
It’s the second option

If you need an explanation let me know!
6 0
3 years ago
Use the power series for 1 1−x to find a power series representation of f(x) = ln(1−x). What is the radius of convergence? (Note
Viktor [21]

a. Recall that

\displaystyle\int\frac{\mathrm dx}{1-x}=-\ln|1-x|+C

For |x|, we have

\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n

By integrating both sides, we get

\displaystyle-\ln(1-x)=C+\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}

If x=0, then

\displaystyle-\ln1=C+\sum_{n=0}^\infty\frac{0^{n+1}}{n+1}\implies 0=C+0\implies C=0

so that

\displaystyle\ln(1-x)=-\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}

We can shift the index to simplify the sum slightly.

\displaystyle\ln(1-x)=-\sum_{n=1}^\infty\frac{x^n}n

b. The power series for x\ln(1-x) can be obtained simply by multiplying both sides of the series above by x.

\displaystyle x\ln(1-x)=-\sum_{n=1}^\infty\frac{x^{n+1}}n

c. We have

\ln2=-\dfrac\ln12=-\ln\left(1-\dfrac12\right)

\displaystyle\implies\ln2=\sum_{n=1}^\infty\frac1{n2^n}

4 0
3 years ago
.<br> Simplify the expression.<br><br> (7 – c)(–1)
Ganezh [65]
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7 0
3 years ago
What is the quotient of d − 2 √ d 4 − 5 d 3 + d + 17
Tcecarenko [31]

Answer: d^3 - 3d^2-5

Step-by-step explanation:

For finding the quotient of the given division,

In the long division method, we will follow the following steps.

Step 1 : Here the divisor is d-2 and dividend is d^4-5 d^3 + d + 17

Multiply (d-2) by d^3  and subtract the dividend by the resultant.

We get -3d^3+d

Step 2: Multiply (d-2) by -3d^2  and subtract the remaining dividend by the resultant.

We get  -5d^2+17

Step 3 : Multiply (d-2) by -5  and subtract the remaining dividend by the resultant.

We get  7

Since, after getting 7 it is not possible further division,

Hence, Remainder = 7,

Quotient = sum of all expression by that we multiply (d-2) = d^3 - 3d^2-5

4 0
3 years ago
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