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1)How do we use inductive reasoning in math besides patterns recognition?
2)Explain what it means to negate and give two examples.
3)How do we use statements to prove theories?
A hard disk with 1 platter rotates at 15000 rpm and has 1024 tracks each with 2048 sectors and every sector is having 512 bytes. The disk head starts at track 0 the disk then receives a request to access a random sector on a random track. If the seek time of the disk head is 1 ms for every 100 tracks it must cross.
What is the average rotational latency?
a) 1 msec b) 2 msec c) 3msec d) 4 msec

For the above data what is the data transfer rate?
a) 100 MBPS b) 250 MBPS c) 100 GBPS d) 250 GBPS
a hypothetical CPU 1 MIPS takes 4 clock cycles on the average for any instruction. the memory access time is 1 clock cycle for each word. what is the peak data transfer rate in cycle stealing mode?

a) 4 million words b) 2 million words c) 8 million words d)none
Consider a disk with size 40GB. The size of disk block is 4KB.Number of blocks
needed to keep track of free space if the disk is initially empty by using Bit map
method is ____
(A) 2560 (B) 5120 (C) 1280 (D) None of these
A DMA controller transfers 16-bit word to memory using cycle stealing. The words assembled from a device that transmits characters at a rate of 2400 characters per second. The CPU is fetching and executing instructions at an average rate of 1 million instructions per second.

By how much will the CPU be slow down because of DMA transfer when the
characters are represented with 8 bit ASCII?
(A) 0.0833% (B) 83% (C) 17% (D) 17.33%

How much more percent the CPU slows down when 32 –bits words are
transferred to memory using cycle stealing?
(A) 83% (B) 23% (C) 0.0833% (D) 17.33%
A factory produces 228 energy bulbs in a week. How many does it produce in a year.Give the estimate of your answer and then find the actual answers.
Determine the poles and zeros for the function: F(s)=400(s+10)/(s^2+25s)(s^2+10s+125).Hence,find f(t).
Let f (x) = ex be defined on [−1, 1]. For each positive integer n ≥ 3, let Pn be the Lagrange interpolation polynomial of f at the n equidis- tant points in [−1,1]. Given a positive error δ, write a function that compute the smallest value of n so that ∥f − Pn∥∞ < δ. For the test case, you can take δ = 10−4.
(1)A window is in the form of rectangle surmounted by a semi-circle. The total perimeter of the window is
10 m. Find the dimensions of the window to admit maximum light through the whole opening.
A hospital records the number of floral deliveries its patients receive each day. For a two week
period, the records show

15, 27, 26, 24, 18, 21, 26, 19, 15, 28, 25, 26, 17, 23

Use exponential smoothing with a smoothing constant of .4 to forecast the number of deliveries.
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