Question 21. The electric circuit shown in Figure 7.6.7 is described by the system of differential equations (33) (4)-(41)() where I is the current through the inductor and Vis the voltage drop across the capacitor. These differential equations were derived in Problem 16 of Section 7.1 a. Show that the eigenvalues of the coefficient matrix are real and different if L > 4R2C; show that they are complex conjugates if L < 4R2C. b. Suppose that R=112, C = 3, and L = 1 H. Find the general solution of the system (33) in this case. с R w L

You are asked to build an amplifier that will take a 10 kHz sine wave with an amplitude of 50 mV and amplify it so that the output has an amplitude of 12 V. You decide to use a non-inverting amplifier architecture with a supply voltage of £12.5 V to accomplish this. Before you can pick an amplifier, however, you must first determine the relevant specifications. a) What is the minimum required GBW for this design? b) What is the minimum required slew-rate for this design? c) What is the maximum required input offset voltage for this design? Assume that the output of the op amp is limited only by the supply voltages.

-70.83 Points] DETAILS Suppose that we don't have a formula for g(x) but we know that g(1) - -3 and g'(x) = x2 + 8 for all x. Use a linear approximation to estimate g(0.99) and g(1.01). 9(0.99) g(1.01)

3.29 Find v, in the circuit in Fig. P3.29 using voltage and/or current division. PSPICE MULTISIM Figure P3.29 10 ΚΩ ξ3 ΚΩ 2 kΩ + υο 4 kΩ 18 mA I 15 ΚΩ 12 kΩ

Required information Skip to question   [The following information applies to the questions displayed below.] Ken is 63 years old and unmarried. He retired at age 55 when he sold his business, Understock.com. Though Ken is retired, he is still very active. Ken reported the following financial information this year. Assume Ken files as a single taxpayer. Ken won $1,600 in an illegal game of poker (the game was played in Utah, where gambling is illegal). Ken sold 1,400 shares of stock for $32 a share. He inherited the stock two years ago. His tax basis (or investment) in the stock was $31 per share. Ken received $29,000 from an annuity he purchased eight years ago. He purchased the annuity, to be paid annually for 20 years, for $243,600. Ken received $14,000 in disability benefits for the year. He purchased the disability insurance policy last year. Ken decided to go back to school to learn about European history. He received a $900 cash scholarship to attend. He used $500 to pay for his books and tuition, and he applied the rest toward his new car payment. Ken's son, Mike, instructed his employer to make half of his final paycheck of the year payable to Ken as a gift from Mike to Ken. Ken received the check on December 30 in the amount of $1,700. Ken received a $810 refund of the $4,000 in state income taxes his employer withheld from his pay last year. Ken claimed $13,000 in itemized deductions last year (the standard deduction for a single filer was $12,550). Ken received $34,000 of interest from corporate bonds and money market accounts. 1040 for a single taxpayer. For Paperwork Reduction Act Notice, see your tax return Inatructions. THIS FORM IS A SIMULATION OF AN OFFICIAL U.S. TAX FORM. IT IS NOT THE OFFICIAL FORM IT SELF. DO NOT USE THIS FORM FOR TAX FILINGS OR FOR ANY PURPO SE OTHER THAN EDUCATIONAL. 02022 McGraW-HIll Education.

A car dealer acquires a used car for $20,000, with terms FOB shipping point. Compute total inventory costs assigned to the used car if additional costs include $300 for transportation-in. • $140 for shipping insurance. • $880 for car import duties. • $130 for advertising. • $1,000 for sales staff salaries. • $170 for trimming shrubs. Included in Expensed Cost Inventory Cost as incurred Cost 20,000 Transportation-in Import duties Insurance during shipment 300 880 140 Advertising 130 Sales staff salaries 1,000 Trimming shrubs 170 Total 22,620 %24

Two particles approach each other with equal and opposite speed, 𝑣 . The mass of one particle is 𝑚 , and the mass of the other particle is 𝑛𝑚 , where 𝑛 is just a unitless number. Snapshots of the system before, during, and Two particles approach each other with equal and opposite speed, v. The mass of one particle is m, and the mass of the other particle is nm, where n is just a unitless number. Snapshots of the system before, during, and after the elastic collision are shown. Before Collision After E - - - - - - - V inal After the collision, the first particle moves in the exact opposite direction with speed 2.950, and the speed of the second particle, Unm,final, is unknown. What is the value of n? n= 1.35 n =