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Kevin places 175.5 g of solid aluminum into a pot and places it on the stove. He turns on the fire, causing it to melt. If the ΔHfus of aluminum is 405 J/g and the ΔHvap is 16700 J/g, how much energy did the aluminum gain?


A body vibrate in simple harmonic motion with a frequency of 50hz and an amplitude of 4cm. Find



1.period



2. Acceleration at the middle and at the end of the path of oscillation

Find the Derivative of the following function

  1. y = x2 cos x - 2xsinx - 2cosx
  2. x(cos2x + 3y) = ysinx

The weight (x grams) of a rose is assumed to be distrubuted as N (5, 12.4). A rose is selected randomly .find the probability that the weight of randomly selected flower is less than 4 gram

What values are returned during the following sequence of queue operations, if



executed on an initially empty queue? enqueue(5), enqueue(3), dequeue(), enqueue(2),



enqueue(8), dequeue(), dequeue(), enqueue(9), enqueue(1), dequeue(), enqueue(7),



enqueue(6), dequeue(), dequeue(), enqueue(4), dequeue(), dequeue().

Write a program that will ask user to enter a digit character (i.e. ‘0’ or ‘1’ .... or ‘9’). If user

enters a non-digit character then the program should display message to re-enter correct input. If user

enters a correct character (i.e. a digit character) then your program should convert that character to

a same digit but in integer type. Do this for five inputs. Finally, add all digits and display their sum. Do

not use any library function or loops.


Give the algorithm to convert the input dollars(s) into the equivalent peso. One dollar is approximately equal to 50.60 pesos. Then display the result.



Which Commission Report closely resembles to the coining of “apartheid’ of 1948?

An elevator of mass 1500 kg is at rest and then begins to ascend at an acceleration of 1.0 m / s² . A constant frictional force of 800 N retards its motion upward . ( a ) Find the tension in the cable carrying the elevator . ( b ) Find the minimum power delivered by the motor at t = 4s while the elevator is moving upward . ( c ) What will be the reading on a bathroom scale if a 50 kg person stands on it while the elevator is ascending ?

The sales data of XYZ ltd (in million of shillings) for the years 2001 and 2004 inclusive are as given as below:


2001; 40, 64, 124, 58.


2002; 42, 84, 150, 62.


2003;46, 78, 154, 96.


2004;54, 78, 184, 106.


Calculate the estimated sales for each quarter of the year 2004

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