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Show that the explicit sequence {yn}∞n=0 such that yn = A(2n )+ B(-1)n for any nonzero
constants A and B is the solution of the recurrence relation
yn = yn-1 + 2yn-2 for n >1.
Matrix Rotations
You are given a square matrix A of dimensions NxN. You need to apply the below given 3 operations on the matrix A.
Rotation: It is represented as R S where S is an integer in {90, 180, 270, 360, 450, ...} which denotes the number of degrees to rotate. You need to rotate the matrix A by angle S in the clockwise direction. The angle of rotation(S) will always be in multiples of 90 degrees.
Update: It is represented as U X Y Z. In initial matrix A (as given in input), you need to update the element at row index X and column index Y with value Z.
After the update, all the previous rotation operations have to be applied to the updated initial matrix.
Querying: It is represented as Q K L. You need to print the value at row index K and column index L of the matrix A.
Sample Input 2
2
5 6
7 8
R 90
Q 0 1
R 270
Q 1 1
R 180
U 0 0 4
Q 0 0
-1
Sample Output 2
5
8
8
i want exact sample outputs
Do you think natural selection will happen without the changes in the environment? why?
2C5H12OH +15O2 ---> 10CO2 + 12H20
a). How many moles of O2 are needed for the combustion of 1 mole alkanol?
b). How many moles of H2O are formed for each mole of O2 consumed?
c). How many grams of CO2 are produced for each mole of alkanol burned?
d). How many grams of CO2 are produced for each gram of alkanol burned?
1. A 50-kg barbell is lifted at a height of 1.4m from the floor in 1.2 seconds. What is the work done? how much power is expended?
2. A 60 kg block at rest was pushed by a 100 N force on a frictionless horizontal.
A. what is the kinetic energy of the block at a distance of 8 meters?
B. what is the velocity of the blockat a distance of 8 meters?
Write the mechanism of chlorination of phenol
A Carnot heat engine with an efficiency of 60% receives heat of 3000kj from a source and reject the waste heat to medium at 300k.Determine the source temperature
Two identical tiny metal balls have charges Q1 and Q2. The repulsive force one exerts on the other when they are 25 cm apart is 7.33 x 10^-4 N. After the balls are touched together and then separated again to 25 cm, the repulsive force is found to be 9.67 x 10^-4 N. What are the charges of Q1 and Q2
A spherical ball of plasma has a radius of 0.50 m. The electric field on the surface of the ball is measured to be 8.9 x 103 N/C and points radially inward toward the center. What is the value of the electric charge
Two identical conducting spherese are placed with their centers 45 cm apart one is given a charge of +12 x 10^-9 C and the other is given a charge of -18 x 10^-9 C. the spheres are connected by a conducting wire. After equilibrium has occurred, find the electric force between the two spheres
#340153 on Dec 2023