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a particle moves with shm of period 4.0s and amplitude 4.0m. its displacement from the equilibrium position is x. find the time taken for it to travel: (a) from x=4.0m to x= 3.0m, (b) from x=-4.0m to x=3.0m, (c) from x=0 to x=3.0m, (d) from x=1.0 to x= 3.0m.


create a program that will accept a student name, student grade and will display the name and its equivalent grade.

A nested if is needed to validate the range of grade from 0 to 100 only. Inputted grade outside the given range is invalid input and there’s no grade equivalent. Your program should use nested if to validate the grade input and use the if-else statement to validate the grade options. Your program should have an input part and a display part. In the input part, you will be asked to input student name and student grade. For the output part, you have to display the student’s name and grade as shown in the sample output. The grading system is shown below.

Grading System:

A

94-100

A-

90-93

B+

87-89

B

83-86

B-

80-82

C+

77-79

C

73-76

C-

70-72

D+

65-69

D

60-64

F

59 and below



Write a C Program to implement circular queue using dynamic memory allocation. Set the


initial capacity of the queue as 2. The capacity should double whenever the queue is Full.


Through proper output show insertion, deletion and doubling the size of the queue.

Water flows at speed of 5.5 m/s through a horizontal pipe of diameter 3 cm . The gauge pressure P1 of the water in the pipe is 1.7 atm . A short segment of the pipe is constricted to a smaller diameter of 2 cm . P1 5.5 m/s 3 cm 1.7 atm P2 v2 2 cm What is the gauge pressure of the water flowing through the constricted segment? Atmospheric pressure is 1.013 × 105 Pa . The density of water is 1000 kg/m3 . The viscosity of water is negligible.


If the density of the heavy liquid is 9.1 g/cm3 , by what height h1 does the heavy liquid rise in the left arm? 1. 0.810883 2. 0.435573 3. 0.39233 4. 0.573983 5. 0.459748 6. 0.544456 7. 0.710862 8. 0.899009 9. 0.641132 10. 0.538315


1. Suppose five cell phones are tested at




random. Let D represent the defective cell phone




and let N represent the non- defective cell




phone. If we let X be the random variable for the




number of defective cell phones, construct the




probability distribution of the random variable X.

Bone has a Young’s modulus of about 1.8 × 1010 Pa . Under compression, it can withstand a stress of about 1.67 × 108 Pa before breaking. Assume that a femur (thigh bone) is 0.55 m long, and calculate the amount of compression this bone can withstand before breaking.


Supposed three coins are tossed. Let X be the random variable representing the number of heads occur. Construct a table that shows the sample space and values of the random variable X.


A researcher choose the participants of his study by selecting every 8th member of the population


,make a circle graph showing the difference school fees that student like you have to pay l. example: PTA , miscellaneous,school paper,SSG and other fees. explane how you applied your knowledge of central angles and arcs of a circle

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