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1. Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y = 6 + \sqrt{x}, y = 6 + (1/4) x
2. Sketch the region enclosed by x = 5 y^2 and x + y = 4. Decide whether to integrate with respect to x or y. Then find the area of the region.
3. Sketch the region enclosed by x + y^2 = 42 and x = y. Decide whether to integrate with respect to x or y. Then find the area of the region.
4. Find the area of the region enclosed between y = 3 sin(x) and y = 4 cos(x) from x=0 to x=0.7*pi. Hint: Notice that this region consists of two parts.
5. Find c > 0 such that the area of the region enclosed by the parabolas y = x^2 - c^2 and y = c^2 -x^2 is 30. c= 6. Find the area of the region bounded by the parabola y = 4 x^2, the tangent line to this parabola at (3, 36) and the x axis.
For the equation F(a,b,c,d) = ab'c' + abc'd + abcd + a'bcd + a'bcd', determine all prime implicants and all essential prime implicants: (a) using a K-map, (b) using the tabular method.
a lowpass butterworth filter has a corner frequency of 1 khz and a roll-off of 24 db per octave in the stopband. If the output amplitude of a 3 khz sine wave is .1 V, what will be the output amplitude of a 20 khz sine wave if the input amplitudes ..
A stream can represent many different kinds of sources and destinations, including disk files, devices, other programs, and memory arrays. Discuss how to use the different data stream classes to move data to/from files.
Write the expression for the current through the capacitor after the switch is closed. The circuit is a 60 Volt circuit
The RS-232 serial port on a personal computer is transmitting 2400-bit/sec data using a polar NRZ line code that has a peak value of 12 V. Assume that binary 1's and 0's are equally likely to occur.
Then find the total energy stored in the battery before it is connected to the bulb. Determine the total amount of charge that has pessed through the wires that connect the battery and the bulb.
Write an instruction sequence to subtract the 4-byte number stored in memory locations 0x10-0x13 from the 4-byte number stored in memory locations 0x00-0x03 and store the difference in memory locations 0x20-0x2
A DSSS-CDMA signal has a chip sequence that is 1,000 chips in length. The sequence repeats every millisecond. Define DSSS-CDMA Chip Sequence
A delta-wye connected three-phase transformer is rated at 38 MVA with primary and secondary line voltage ratings of 345 and 125 kV, respectively. The transformer p.u. reactance is 10%, the p.u. no-load current is 0.1.
What is the maximum allowable value Xmax of X? The system is built with X-Xmax. An engineer argues that the host on the sort side of the bridge can use a minimum frame length shorter than 512 bits if they are talking to other hosts on the same sid..
Design a counter that will execute the numerical sequence 0, 2, 4, 6,repetitively. Unwanted states should be directed into wanted states that give the simplest logic functions. - Identify the number of required JK D-FLIP FLOP;
Four frequencies are applied at the input of a non-linear amplifier. Write down all of the frequency components at the output of the non-linear device. Write down only the first three harmonics.
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