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By discovering calculus, Sir Issac Newton contributed to the field of mathematics.
<u>Explanation:</u>
In the early history, infinitesimal calculus, are a mathematical discipline that focuses on boundaries, derivatives, functions, infinite sequences and integrals. The work of Newton analysis began with finding the slope of any points in curve, the slope of which is constantly changing. By this way, named ‘method of fluxions’ the derivative to find the slope instead of differentiation.
This is due to the fact that he calls the "fluxion" and "fluent" variable of x and y at the instantaneous rate of curve change. He then concluded that the opposite of differentiation is integration, which he called the "method of fluents". This enabled him to develop the first fundamental calculus theorem, which states that if the function is integral and then differentiable, the basic function can be retained because differentiation and integration are inverse functions.
Newton did not publish anything about the analysis until 1693, but the mathematician Leibniz from Germany published his theory version in 1684. In addition to working on universal gravity, Newton developed three laws of motion that constitute the basic principles of modern physics. His discovery led to the development of stronger solutions to mathematical problems.
Answer:
V = 9.33 V
Explanation:
By definition, the capacitance of a capacitor, is the proportion between the charge on one of charged surfaces and the potential difference between these surfaces, as follows:
for a parallel-plate type capacitor, it can be showed, applying Gauss'Law to the a gaussian surface with the shape of a pillbox parallel to the surface of one of the plates, half outside the surface, half inside it, that the capacitance can be expressed as follows:
As we can see, if a slab of paraffin, with dielectric constant of 2.25, is inserted, the capacitance will be increased in the same factor:
Now, if the capacitor, once charged, is disconnected from the battery, the charge Q will remain constant.
So, if the capacitance will be increased 2.25 times, the only way to do this is that the voltage between plates be reduced in the same factor:
Answer:
No.
Explanation:
the study of matter and its structure.
Answer:
58.0 m/s
Explanation:
We can solve the problem by using the following SUVAT equation:
where
v is the final velocity of the roller coaster
u = 13 m/s is the initial velocity
a = 4.0 m/s^2 is the acceleration
s = 400 m is the displacement
Substituting and solving for v, we find