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.
<u>Answer</u>:
<em>Dog drinking water after it feels thirsty is an example of an organism responding to its internal environment to maintain homeostasis.
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<u>Explanation</u>:
The regulation of temperature of the body of an organism is called homeostasis. <em>Warm blooded organisms depend on their internal environment to maintain homeostasis while cold blooded organisms</em> completely depend on their external environment to maintain homeostasis.
The <em>body temperatures of warm blooded organisms maintain its constancy despite changing temperature of the external environment</em>. But the case of cold blooded organisms is different.
Their body temperature completely depends on the external environment and thus they have<em> several behavioral and physiological adaptations to maintain their body temperatures </em>at the comfortable level.
<em>In this example dog is a warm blooded animal and it drinks water to maintain homeostasis since water helps in thermal regulation of its body.
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H = height of the pole = ?
BC = ED = height of the transit = 4 ft
CD = BE = distance moved away from the base of the pole = 140 ft
Consider the ΔABE
tan44 = AE/BE
tan44 = h/140
h = 140 tan44
h = 135.2 ft
H = height of pole = AE + ED = h + ED = 135.2 + 4
H = 139.2 ft
Answer:
See the explanation below
Explanation:
We must perform a sum of forces on the body, that sum of forces is equal to zero. That is, the body is in balance and does not move.
ΣF = 0
3 - 3 = 0
This force is negative and acts by pointing downwards.
Question 2 is because the passengers have inertia, which is a tendency to resist change in motion