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what is the geometrical meaning of the derivative of a function f?

The derivative of a function f(x), usually denoted as f'(x), gives you the gradient of the graph of f(x) for every point x in the domain of f. Therefoore, the derivative of a funtion can show how fast/slow a...
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Answered by Theodore G. • Maths tutor
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Why was Germany so important to the US and USSR during the Cold War?

It was important for both practical, strategic reasons, as well as symbolic reasons. From a strategic point of view, Germany was located in central Europe and was the key to Western Europe. The USSR wanted t...
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Answered by Nadia A. • History tutor
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How do I draw a graph, y = mx + c, if I am only given m and a point that the line passes through?

Let's say we have the equation y = 2x + c and we are told that the line passes through the point (3, 4). Our first step is to use the numbers from the point (3, 4), by substituting them into our equation. Li...
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Answered by Alex D. • Maths tutor
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why does photoelectric emission occur only when there is a certain threshold frequency of incident radiation?

According to the particle theory of light, hf=φ+KEmax, so along with the minimum amount of energy required, there is a minimum frequency as well, φ= hf o . Thus, the incident photon must have a frequency hig...
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Answered by Nikolas P. • Physics tutor
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Calculate the pH of the solution formed when 30 cm3 of 0.150 moldm-3 aqueous sulfuric acid is added to 30 cm3 of 0.200 moldm-3 aqueous potassium hydroxide at 25 C.

H 2 SO 4 ---> 2H + + SO 4 2- KOH ---> OH - + K + Initial moles of Sulfuric acid: Volume x Concentration = Moles (30/1000) x 0.150 = 4.5x10 -3 mol Moles of H + made by sulfuric acid: It is a 1:2 ratio o...
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Answered by William D. • Chemistry tutor
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