Answer:
One controversy that has resulted from the Human Genome Project is the ethics of genetic engineering and whether it should be used to create so-called "designer babies." Proponents of genetic engineering argue that it has the potential to eliminate genetic disorders and diseases, and that it could improve the overall health and well-being of future generations. For example, parents could use genetic engineering to ensure that their children have a lower risk of developing conditions like diabetes or heart disease.
On the other hand, opponents of genetic engineering argue that it could lead to a number of social and ethical problems. For instance, some people worry that genetic engineering could be used to create a society of genetically superior individuals, leading to inequality and discrimination. Additionally, opponents argue that we do not yet fully understand the potential risks and long-term effects of genetic engineering, and that we should therefore proceed with caution. They also raise concerns about the potential misuse of genetic engineering, such as using it to create individuals with enhanced physical or intellectual abilities for military or other nefarious purposes.
In conclusion, while genetic engineering has the potential to bring many benefits, there are also valid concerns about its potential consequences. It is important for society to carefully consider these issues and to proceed with caution.
Explanation:
Answer:
Johannes Kepler was a student of Tycho Brahe.
Explanation:
Johannes Kepler joined the wealthy astronomer Tycho Brahe as a student as assistant. After the death of Brahe, Kepler used his observations data and based on it formulated the three laws of planetary motion. Galileo described the heliocentric model with planets revolving about the Sun in circular orbits which was corrected by Kepler. He corrected that the orbits are elliptical.
Ptolemy believed in geocentric model, according to which Earth is at the center of the universe. Galileo did not built observatory. Issac Newton believed in heliocentric model of the universe.
Here is why:
When we solve for the inverse function (see the particular step below; when we have: " y² = x " ;
We take the "square root" of EACH SIDE of the equation; to isolate "y" as a single variable on one side of the equation;
→ √(y²) = √x ;
→ |y| = |√x| ;
y = ± √x ;
Because when we take the square root — or any "even root", for that matter—we have two solutions: of a variable, we have TWO SOLUTIONS: a positive value; and a negative values;
→ since: 1) a "negative value"; multiplied by a "negative value" ; equals a "positive value" ;
→ and as such: a "negative value" ;
multiplied by that same "negative value" ;
{that is: a "negative value", "squared (i.e "raised to the power of "2"} ; ,
→ results in a positive value ;
→ and since:
2) a "postive value"; multiplied by a positive value" ; equals a "positive value" ;
→ and as such: a "positive value" ;
multiplied by that same "positive value" ;
{that is: a "positive value", "squared (i.e "raised to the power of "2"} ; ,
→ results in a "positive value";
→ and since:
3) any given integer, in it "positive value", squared (i.e. raised to the power of "2"); results in a "positive value" ;
→and since:
4) that same aforementioned integer; in its "negative value" form, squared (i.e. raised to the power of "2"); results in that same aforementioned "positive value".
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Note the following:
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"Given the function: "f(x) = x² " ; Find the "inverse function" .
Let "y" = f(x) " ;
and write as: " f(x) = y = x² " ;
→ " y = x² " ;
→ Now, rewrite the equation; replacing the "y" with "x" ;
and replacing the "x" with "y" ;
→ " x = y² " ;
Now, rewrite the question; isolating "y" as a single variable;
with no coefficient (save for the "implied coefficient of "1" ) ;
→ " x = y² " ;
↔ " y² = x ;
Now, take the square root of EACH SIDE of the equation;
to isolate "y" on one side of the equation;
→ √(y²) = √x ;
→ |y| = |√x| ;
→ y = ± <span>√x .
</span>
Replace the "y" with " f ⁻¹(x)" ; to indicate that this the "inverse function" ;
and write the "inverse function" :
→ " f ⁻¹(x) = ± √x " ;
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