Question Solved1 Answer 15. Find the PA = LDU factorizations (and check them) for = ſo 1 1 [ 1 2 1 and A= A= 1 0 1 2 3 4 2 4 2 1 1 1

Answer the following parts. (a) Write down a formula for the amount of money you would have in your account after t years if it started at $1000 and the account pays 2.5% annual interest compounded monthly. (b) If you buy a car for $20,000 and it loses half its value every year when will the car be worth $3,000? (c) A population is known to grow exponentially. If it starts at 100 and is 150 after 3 months when will the population be 300?

Q. 1. Accuracy of Dual slope ADC is not affected by the precision of: A) Integrator capacitor value. B) Input Integrating time. C) Total conversion time. D) Reference voltage value. E) \( \mathrm{A} \) and \( \mathrm{D} \). Q2 Silicon has a band gap of \( 1.1 \mathrm{eV} \). Find number of needed photons at the maximum wavelength to have \( 5 \mathrm{~J} \) Q. 1. Accuracy of Dual slope ADC is not affected by the precision of: A) Integrator capacitor value. B) Input Integrating time. C) Total conversion time. D) Reference voltage value. E) \( \mathrm{A} \) and \( \mathrm{D} \). Q2 Silicon has a band gap of \( 1.1 \mathrm{eV} \). Find number of needed photons at the maximum wavelength to have \( 5 \mathrm{~J} \) of energy. Note that \( 1 \mathrm{ev}=1.6 \times 10^{-19} \mathrm{~J} \), Planck's constant \( h=6.63 \times 10^{-34} \mathrm{~J} \).s, speed of light \( c=3 \times 10^{5} \mathrm{~m} / \mathrm{s} \). Number of photons is: A) \( 19.05 \times 10^{18} \) B) \( 8.98 \times 10^{18} \) C) \( 6.524 \times 10^{18} \) D) \( 15.801 \times 10^{\mathrm{tk}} \) E) \( 28.41 \times 10^{18} \) Q3 For the Maxwell bridge shown in Figure Q3, balance is achieved when \( R 1=5 \mathrm{~K} \Omega \). The resister R4, is equal to: A) \( 600 \Omega \) B) \( 2000 \Omega \) C) \( 100 \Omega \) D) \( 300 \Omega \) E) \( 400 \Omega \) Q4 For Q3, what is true of the following about balancing this circuit: A) Adjusting R1 affects inductive balance directly. B) Balance will be reached after a few adjustments. C) There will have balance convergence problems. D) The circuit has impractical large value of \( \mathrm{R} 1 \). E) \( \mathrm{A} \) and \( \mathrm{B} \). Q5 An electronic ac voltmeter that uses amplification before rectification must have: A) High open loop gain. B) Large amount of negative feedback. C) Zero drift characteristics D) B and C E) \( \mathrm{B} \) and \( \mathrm{A} \) Q6 The sawtooth waveform signal shown in Figure Q6 is used to calibrate an average responding ac voltmeter. Find the error in the meter indication when used to measure the rms value of a square wave: A) \( 14.9 \% \) B) \( 13.4 \% \) C) \( 7.75 \% \) D) \( 3.875 \% \) E) \( 15.5 \% \) Figure Q6 Q7 In the half wave rectifier shown in of \( 10 \Omega \) and are assumed to have an infinite \( Q 7, D 1 \) and \( D 2 \) have an average forward resistance value of Rs (in \( \Omega \) ) for \( 10 \mathrm{~V} \) rms ac range: A) 1211 B) 1473 C) 2288 D) 2957 E) 2091 F) None Q8. A photoconductive cell that has a resistance changes from \( 2.5 \mathrm{k} \) to \( 1 \mathrm{k} \) when exposed to light is used in the circuit of Fig.4. If the device time constant is \( \tau=100 \mathrm{~ms} \), then the value of \( \mathrm{V}_{\text {aut }} \) after 2 ms from exposing the cell to light will be : A) \( 85.2 \mathrm{mV} \) B) \( 111 \mathrm{mV} \) C) \( 76.9 \mathrm{mV} \) D) \( 162 \mathrm{mV} \) E) \( 190 \mathrm{mV} \) F) None Q. 9. The ADC of data acquisition systems is typically of the type: A) Resistive ladder network. B) Successive approximation. C) Dual slope. D) Ramp. E) \( \mathrm{D} \) and \( \mathrm{A} \).

4, Shifts in production possibilities Suppose the fictional country of Yosemite produces two types of goods: agricultural and capital. The following dagram shows its current production possibilites frontier for rice, an agricultural good, and axles, a capital good. Drag the production possibilities frontier (PPF) on the graph to show the effects of a time-saving innovation in the manufacturing of axies. Note: Select either end of the curve on the graph to make the endpoints appear. Then drag one or both endpoints to the desired position. Points will snap into position, so if you try to move a point and it snaps back to its original position, just drag it a little farther.

A box weighing 100 N made of Copper is pushed on a horizontal surface made of steel. Using the information given in the Table shown bellow, the minimum force needed to start the box skidding on this surface is Coefficients of Friction a) 36 N c) 53 N e) +5 N b) +7 N d) 7+ N Steel steel Shuninunon steel Copper om te Balkon concrete mwand 0.37 03.17 0. 1. 11. We won wetu W dni Icon Select one

A post-tensioned bonded concrete beam has a prestress of 1560 kN in the steel immediately after prestressing which eventually reduces to 1330 KN. The beam carries two live loads of 45 kN each in addition to its own weight of 4.40 kN/m. a) Compute the extreme fiber stresses at mid-span under the initial condition with full prestress and no live load b) time dependent losses assume all need data) c) Compute the extreme fiber stresses at mid-span under final condition after all the losses have taken place and with full live load. 45kN 45kN 4.50m 3.00m 4.50m 300 009 GP. Ancog 1 1 1 1 1 1 1 1175 Mid span section

(c) In Matlab (using the int command) try to determine the improper integral - 13 - dx. Explain your output. (d) In Matlab (using the int command) try to determine the improper integral comparison test for improper integrals to show that this integral converges. 13 X + px dx. Use the Note: your findings from (d) indicate that Matlab can be unreliable when (c) In Matlab (using the int command) try to determine the improper integral - 13 - dx. Explain your output. (d) In Matlab (using the int command) try to determine the improper integral comparison test for improper integrals to show that this integral converges. 13 X + px dx. Use the Note: your findings from (d) indicate that Matlab can be unreliable when determining if an improper integral converges or diverges.