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A particle travels along the x-axis with postion ( measured in meters ) as a function of time ( measured in seconds ): x(t) = 5t^2-7t+2.(a) At what time or times is the particle at rest?(b) During what time interval does the particle have positive acceleration?(c) At what time or times is the particle located at x = 0 m ?
The input capture option on the HCS12 is used to measure the period of a 100 Hz signal. With an E-clock of 24 MHz and no scaling, how many overflows will occur Assume the free-running timer starts at 0x0000.
RC ciruit= Current course (3u(-t) A) in parrallel to 6k ohm resistor and 5uF cap. Determine the instantaneous power absorbed by the resistor at t=(0); 30ms; and 90ms.
What is the system reliability for a light panel containing 12 light bulbs, and only requires 9 bulbs to be working for success (only 3 failures allowed). The reliability performance of the bulbs is based on the exponential reliability distributio..
The circuit will have as inputs a minimum of two inputs; the binary equivalent of two decimal numbers of not greater than (10,000)10. The circuit will produce a minimum of two outputs, the quotient and the remainder.
a) Using K-Map, find the minimum product-of-sums for the following function. Circle the term on the map and write the result in algebraic form. b) Draw the block diagram in NOR-NOR.
A 3.3V, 30 A dc power supply is to be designed with a ripple of less than 2.5%. Assume that a half-wave rectifier circuit (60 Hz) with a capacitor filter is used.
(a) What is the condition for matrix A to have inverse Discuss this in terms of rank, determinant, linear dependence of rows and columns of matrix A, singular or non-singular. (b) Show that if A has inverse then AT also has inverse
1. Find the volume of a frustum of a pyramid with square base of side 17, square top of side 9 and height 14.2. The base of a solid is a circular disk with radius3. Parallel cross sections perpendicular to the base are squares.
Determine whether the Boolean funcions F=a'c+ab'c+ab and G=b'c+a'bc+abc+ab are equivalent using algebraic manipulation.
What is the thermal noise level of a channel with bandwidth 10kHz carrying 1000. Watts of power at 50o C?
Let x[k] be a time-domain sequence and X[r] be its DFT. (When written as vectors, unless stated otherwise, always assume the first entry in the vector is at k=0 or r=0, respectively.) If x[k] = [5, 9, 6, 10]
When the two windings are connected to a a.c supply of 50hz, the field current is 0.1A, the armature current is 100A and the phase difference between them is 60 degree. calculate the average torque and maximum torque.
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