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You are given an array of N non-negative integers: A1A2, ..., AN. An alternating subsequence is a subsequence in which the indices of any two consecutive elements differ by exactly two in the original array. That is, if Ai1Ai2, ..., Aik is some subsequence, then for it to be an alternating subsequence, (i2 - i1 = 2), (i3 - i2 = 2), and so on should all hold true. Among all alternating subsequences, find the one which has maximum sum of elements, and output that sum.


A force F=100N points 300 with respects to the x-axis. The force acts on an object of mass 5kg.

a. what is the magnitude and direction of the acceleration of that object ? [3+2 marks]

b. what are the magnitudes of the x-components of the force and the acceleration (Fx and ax)?


Disprove the following statement: Spending time on public works programs wasted valuable resources for Mussolini.



The United States was neutral at the start of World War II. Summarize the events that increased tension between the United States and Germany in 1941.



During the 1930s, many of the Works Progress Administration encouraged literature, music, and art. Pick one of the key figures involved with the WPA. Why do you think this person had the greatest impact?


An egg distribution company uses different sizes of packings for eggs, that is, 30 eggs packing, 24 eggs packing, 18 eggs packing, 12 eggs packing and 6 eggs packing. Write a program which prompts user to enter total number of eggs (input validation is always must) to be packed and then calculate how many packings of each size will be possible. Also tell if there will be any eggs left to be packed.


The correct expression for a number which is twice as big as the number obtained after p has been divided by 3 is





1. 2(p/3)




2. 2p/6




3. 2 + p/3




4. 2 × 3/p

In the circuit shown in Fig. Q28.14, when switch S is suddenly closed, the wire L is pulled toward the lower wire carrying current I. Which (a or b) is the positive terminal of the battery? How do you know?


An ordinary loudspeaker such as that shown in Fig. 27.28 should not be placed next to a computer monitor or TV screen. Why not?


At any point in space, the electric field E is defined to be in the direction of the electric force on a positively charged particle at that point. Why don’t we similarly define the magnetic field to B to be in the direction of the magnetic force on a moving, positively charged particle?


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