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3 years ago

What is the meaning of the term theorem

1 answer:

5 0

There are 4 terms in the world of *Mathematical proof*
Lemma, Proposition, Corollary and Theorem.
There is no difference between a lemma,
proposition, theorem, or corollary - they are all claims waiting to be proved. However, we use these terms to suggest different levels of importance and difficulty. A lemma is an easily proved claim which is helpful for proving other propositions and theorems, but is usually not particularly interesting in
its own right. A proposition is a statement which is interesting in its own right, while a theorem is a more important statement than a proposition which says something definitive on the subject, and often takes more effort to prove than a proposition or lemma. A corollary is a quick consequence of a proposition or theorem that was proven recently

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Tell whether the relation is a function.

pshichka [43]

Answer:

Step-by-step explanation:

The easiest way to tell if a relation is a function is to look at the x coordinates. If none of them are the same in the set, then the relation is a function. If any of the x values are used more than once in the set, it is only a relation. This set uses -3 two times, so it is a relation.

8 0

4 years ago

Read 2 more answers

Tylique ate 1/2 of a pizza. His friend Connor ate the same amount of a same-sized pizza. Connor’s pizza was cut into 10 slices.

arlik [135]

Answer:

Step-by-step explanation:

10*1/2=5

Connor ate half of the slices, half of 10(Being the slices connors pizza was cut into) is 5

3 0

3 years ago

You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta

vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

$m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

$\cos 2\theta = 0$

$2\theta = \cos^{-1}0$

$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

y: 1 -1 1 -1

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

6 0

3 years ago

3x+12-6x<-9<br><img src="https://tex.z-dn.net/?f=3x%20%2B%2012%20-%206x%20%20%5Cleqslant%20%20-%209" id="TexFormula1" title="

saveliy_v [14]

First simplify 3x + 12 - 6x to -3x - 12
Next subtract 12 from both sides
Next subtract -9 - 12 and that would be -21
Next divide both sides by -3
Next lets simplify the fraction -21/-3 into 21/3 since those two negatives make a positive.
Lastly simplify the fraction 21/3 to get the answer.

Answer: x ≥ 7

8 0

4 years ago

Estimint 697 times 3

frutty [35]

700 times 3 is 2,100, You get 700 from estimating 697

4 0

3 years ago