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There are flowers in a basket which are to be distributed to five persons standing in a row. The second person received half of the number of flowers given to the first person, the third person received half of the number of flowers received to the second person; the fourth person received half of the number of flowers received to the third person and the fifth person received half of the number of flowers received to the fourth person. If the fifth person received only one flower and there is no flower remaining in the basket, how many flowers were their in the basket?
Consider a system described by ẋ = Ax + Bu y = Cx + Du The system is completely output controllable if and only if Where: x = State vector (n-vector) u = Control vector (r-vector) y = Output vector (m-vector) A = n × n matrix B = n × r matrix C = m × n matrix D = m × r matrix
A solid sphere of radius 13 cm is melted and its some part is used to cast a hollow sphere whose internal radius is 5 cm. What will be the thickness of the sphere if the surface area of solid sphere is equal to the total surface area of hollow sphere?
Which of the following are the basic differences between vibration signature and noise signature? 1. Vibration signature is essentially in the frequency range zero to 100 cps whereas noise signature is in the range 20 cps to 3000 cps. 2. Vibration signature has well-defined peaks whereas the noise signal is smeared. 3. The intensities of noise signatures arc much less than that of vibration signatures. 4. Detection of vibration signature calls for a microphone whereas that of noise can do with a pickup. Select the correct answer using the code given below.
The following surface integral is to be evaluated over a sphere for the given steady velocity vector field F = xi + yj + zk defined with respect to a Cartesian coordinate system having i, j and k as unit base vectors.
$$\iint\limits_{\text{S}} {\frac{1}{4}\left( {{\text{F}} \cdot {\text{n}}} \right){\text{dA}}}$$    where S is the sphere, x2 + y2 + z2 = 1 and n is the outward unit normal vector to the sphere.
The value of the surface integral is
Below a question is given with one passage and its effects (I) and (II). One of these effects or both or none may be the effect of the statement. Read both the effect and decide which of the following answer choice correctly depicts the relationship between these cause and effect. Passage: In the urban area there exist a lot of industries, commercial places and public places religious places which involve a lot of a  people and working machinery note of sound and when this sound becomes unpleasant it is known as noise. it is one of the reasons why public authorities have divided the city into a number of zones is known as a different noise level. Effects: I        Noise leads to emotional and behavioural stress. A person may feel disturbed in the presence of loud noise such as produced by heating of drums. II       Noise may cause damage to the liver, brain, and heart.  
Which of the following command options are displayed when you use the Router# show frame-relay ? command?
1. dlci
2. neighbors
3. lmi
4. pvc
5. map
What is the surface area of the plastic random packing conventional packing material used in trickling filters as the packing medium?
What is the surface area of the plastic random packing high specific surface area packing material used in trickling filters as the packing medium?
A small sphere of radius r is kept inside a hollow sphere of radius R (R > r) concentrically. The large and small sphere are charged by charges Q and q respectively. Both the sphere are separated from each other. The potential difference depends upon: