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Fig. 1-23

4.17 A triangle has vertices A(1, 2), B(8, 0), C(5, 3). Find equations of: (a) the median from A to the midpoint of the opposite side; (b) the altitude from B to the opposite side; (c) the perpendicular bisector of side AB. 4.18 Draw the line determined by the equation 4x 3y = 15. Find out whether the points (12, 9) and (6, 3) lie on this line.

In the circuit of Fig. 1-18, V1 10 cos 2t V; V2 20 cos 2t V; L 1 H; C 1 F, and the load is a 1- resistor. (a) Determine the Thevenin equivalent for the network to the right of terminals a; b. (b) Use the Thevenin equivalent to nd the load current I"L . (Hint: The results of Problem 1.10 can be used here with " s j2.) Ans: a VTh 23:333 08 V; ZTh j0:667 ; b I"L 19:4 33:698 A: In Fig. 1-24, nd the Thevenin equivalent for the bridge circuit as seen through the load resistor RL . Ans: VTh Vb R2 R3 R1 R4 = R1 R2 R3 R4 ; ZTh R1 R2 = R1 R3 R2 R4 = R2 R4

(b) Since high-frequency capacitances have not been modeled, the midfrequency gain follows from letting s ! 1 in (4): Amid Av 1 gm RD RL rds RD rds RL RD rds

37.3 Find formulas for the inverses of the following one-one functions: (a) f (x) = 10x 4 (b) f (x) = 3ex + 1

CC iL + Lo _

Businesses must expect to sustain some losses from uncollectible ac counts and should therefore show on the balance sheet the net amount of accounts receivable, the amount expected to be collected, rather than the gross amount. The difference between the gross and net amounts repre sents the estimated uncollectible accounts, or bad debts. These expenses are attributed to the year in which the sale is made, though they may be realized at a later date. There are two methods of recording uncollectible accounts, the di rect write-off method and the allowance method. Direct Write-Off Method In small businesses, losses that arise from uncollectible accounts are rec ognized in the accounts in the period in which they become uncollectible. Under this method, when an account is deemed uncollectible, it is writ ten off the books by a debit to the expense account, Bad Debt Expense, and a credit to the individual customer s account and to the controlling account. For example, if Bill Anderson s $300 account receivable, dated May 15, 200X, was deemed uncollectible in January of 20XX, the entry in 20XX would be: Bad Debt Expense 300

RG _

(a) Let y = 10x 4. Then, y + 4 = 10x Hence, (b) Let y = 3ex + 1. Then, y 1 = 3ex Hence, or y 1 = ex 3 f 1 (y) = ln y 1 3 or ln y 1 =x 3

Fig. 8-21

CHAP. 8]

(c) tan 1 ( 1)

For the CS JFET ampli er of Fig. 7-2, (a) nd an expression for the voltage-gain ratio Av s and (b) determine the low-frequency cuto point.

(a) The low-frequency equivalent circuit is shown in Fig. 8-22. Id By KVL, 1 Vgs sRS CS 1 Vgs RS k1=sCS rds RD sCS RS RD rds RS RD rds 1 R S ID Vgs Vi ID RS k Vi sCS sRS CS 1 sCS RS RD rds RS RD rds V sCS RS RD rds RD rds 1 RS i RD sRS CS 1 Vgs sCS RS RD rds RS RD rds sRS CS 1 CS RS RD rds s 1 RD rds 1 RS