Answer:
5 m/s2
Explanation:
The total acceleration of the circular motion is made of 2 components: centripetal acceleration and linear acceleration of 4 m/s2. They are perpendicular to each other.
The centripetal acceleration is the ratio of instant velocity squared and the radius of the circle
So the magnitude of the total acceleration is
The statement about pointwise convergence follows because C is a complete metric space. If fn → f uniformly on S, then |fn(z) − fm(z)| ≤ |fn(z) − f(z)| + |f(z) − fm(z)|, hence {fn} is uniformly Cauchy. Conversely, if {fn} is uniformly Cauchy, it is pointwise Cauchy and therefore converges pointwise to a limit function f. If |fn(z)−fm(z)| ≤ ε for all n,m ≥ N and all z ∈ S, let m → ∞ to show that |fn(z)−f(z)|≤εforn≥N andallz∈S. Thusfn →f uniformlyonS.
2. This is immediate from (2.2.7).
3. We have f′(x) = (2/x3)e−1/x2 for x ̸= 0, and f′(0) = limh→0(1/h)e−1/h2 = 0. Since f(n)(x) is of the form pn(1/x)e−1/x2 for x ̸= 0, where pn is a polynomial, an induction argument shows that f(n)(0) = 0 for all n. If g is analytic on D(0,r) and g = f on (−r,r), then by (2.2.16), g(z) =
<u>Answer:</u> Below 12m of depth, the submarine has to submerge so that it would not be swayed by surface waves
<u>Explanation:</u>
To avoid the surface waves, a submarine has to submerge below the wave base. It is the position below which the motion of the waves is negligible.
This wave base is equal to half of the wavelength. The equation becomes:
Wave base = 
We are given:
Wavelength = 24 m
Putting values in above equation, we get:
Wave base = 
Hence, below 12m of depth, the submarine has to submerge so that it would not be swayed by surface waves
Answer:
3m
Explanation:
89.1 MHz means
89.1×10^6 cycles/second.
Electromagnetic radiation (including radio waves) travel at
3.0×10^8meters/second
Wavelength = Speed/Frequency
The wavelength of a
89.1MHz radio signal is
3.0×10^8/89.1x10^6
= 0.03x10^2
= 3meters
With the below stated fact I think that the pros of using synthetic materials outweighs the cons.
Before we answer the question
If the pros of using synthetic materials outweigh the cons or otherwise, let us first establish the what a synthetic material is and its pros and cons
Synthetic material
Synthetic material is a material in which a substances are changed chemically to produce a material with different characteristics.
Types of Synthetic material
- Plastic bag
- Synthetic fiber/cloth
- Artificial sweetener
- Synthetic fuel
- Aspirin
Pros of Synthetic materials
- They are used in construction because of there strong bonding
- They can be molded
- They can be colored into any shade
- They are cheap
Cons of Synthetic materials
- Sometimes none degradable
- They do not absorb water.
- They are highly flammable
- Melts easily
In conclusion
Although Synthetic materials has so very pressing disadvantages to human kind it is unrefusable the importance of Synthetic materials to the day to day live of all humans
Therefore, I think that the pros of using synthetic materials outweighs the cons
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