By applying the concepts of differential and derivative, the differential for y = (1/x) · sin 2x and evaluated at x = π and dx = 0.25 is equal to 1/2π.
How to determine the differential of a one-variable function
Differentials represent the instantaneous change of a variable. As the given function has only one variable, the differential can be found by using ordinary derivatives. It follows:
dy = y'(x) · dx (1)
If we know that y = (1/x) · sin 2x, x = π and dx = 0.25, then the differential to be evaluated is:
[tex]y' = -\frac{1}{x^{2}}\cdot \sin 2x + \frac{2}{x}\cdot \cos 2x[/tex]
[tex]y' = \frac{2\cdot x \cdot \cos 2x - \sin 2x}{x^{2}}[/tex]
[tex]dy = \left(\frac{2\cdot x \cdot \cos 2x - \sin 2x}{x^{2}} \right)\cdot dx[/tex]
[tex]dy = \left(\frac{2\pi \cdot \cos 2\pi -\sin 2\pi}{\pi^{2}} \right)\cdot (0.25)[/tex]
[tex]dy = \frac{1}{2\pi}[/tex]
By applying the concepts of differential and derivative, the differential for y = (1/x) · sin 2x and evaluated at x = π and dx = 0.25 is equal to 1/2π.
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On a day in which the local atmospheric pressure is 99.5 kPa, answer each of the following: (a) Calculate the column height of mercury in a mercury barometer in units of meters, feet, and inches. (b) Francis is concerned about mercury poisoning, so he builds a water barometer to replace the mercury barometer. Calculate the column height of water in the water barometer in units of meters, feet, and inches. (c) Explain why a water barometer is not very practical. (d) Ignoring the practicality issue, which of the two (mercury or water) would be more precise
Answer:
C . . . . . . . . . . . . . . . . . . . . . .
(a) The column height of mercury in a mercury barometer is 7.32 meters, or 24.0 feet, or 95.2 inches.
What is the column height?(b) The column height of water in a water barometer is 995 meters, or 3268 feet, or 33.9 feet.
(c) A water barometer is not very practical because it would need to be very tall to measure atmospheric pressure.
(d) Ignoring the practicality issue, a mercury barometer would be more precise because mercury is denser than water.
Mercury barometer: 7.32 m, 24 ft, 95.2 in
Water barometer: 995 m, 3268 ft, 33.9 ft
Water barometer not practical because it would be too tall
Mercury barometer more precise because mercury is denser
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4.6. What is the maximum peak output voltage and current if the supply voltages are changed to +15 V and -15 V.
The maximum peak output voltage and current if the supply voltages are changed to +15 V and --1V will be 15V and 0.1A.
How to calculate the current?From the information given, the supply voltages are +15V and -15V. The maximum peak output voltage will be 15V.
The maximum peak current will be:
= 15/150
= 0.1A
In conclusion, the maximum peak output voltage and current will be 15V and 0.1A.
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Consider a cup on a dinning table half filled with water.
State 5 similarities and differences between the fluids that are contained in the cup.
Answer:
color, shape container, type, amount, temperature
Explanation:
Identify three architectural structures, natural or man made, that have withstood the test of time. describe the geometric shapes that they represent or contain.
The three architectural structures, natural or man made, that have withstood the test of time. describe the geometric shapes that they represent or contain are statues.
How are geometric shapes utilized in architecture?Architects use geometry to take a look at and divide areas in addition to draft specified construction plans. Builders and engineers depend upon geometric concepts to create systems safely. Designers practice geometry (in conjunction with color and scale) to make the aesthetically appealing areas inside. Applying geometry in the layout is unavoidable.
Man-Made systems can consist of seawalls, breakwaters, harbor walls, pontoons and piers, to say a few. These may be crafted from a whole lot of substances now no longer constrained to wood, concrete, or metal, in addition to herbal rock that has been installed vicinity as a sea defence.
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Why does the us import oil? because it does not produce any oil at all because it needs higher quality oil than it produces because it has exported too much oil to nearby countries because it is cheaper to import oil than to produce it
US import oil because it is cheaper to import oil than to produce it
What is importation?Importation is a way of bringing in goods and services from neighbouring country into your country.
Countries import because it helps them to supply high cost and scarce resources to its market with products from other countries at a very cheap rate.
Hence we can conclude that US import oil because it is cheaper to import oil than to produce it.
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Answer:
because it is cheaper to import oil than to produce it
Explanation:
d on edge2023
All aspects of the Kirby-Bauer test are standardized to assure reliability. What might be the consequence of pouring the plates 2mm deep instead of 4mm deep
Answer:
it would affect the distance the antiantibodies diffuse from the disk
Explanation: