1. p.73#21 a.C=($2.35n + $500)/n b.C approaches $2.35 c.$3› ($2.35n + $500)/n 3n – 2.35n › 500 0.65n › 500 n › 500/0.65 n › 769 chips must be made in order for each to cost less than $3 to produce

2. p.68 4d.

3. 4e.

4. 4f.

5. 1000x 40 + x -(1000x + 40 000) 1000 = k -40 000 = a y = -40 000 + 1000 (40 + x)

6. P 81 # 10 A =ρ 1 – ρ 2 where ρ 1 = 3g/cc ρ 1 + ρ 2 a) A = 3 – ρ 2 3 + ρ 2 b) If A = 0 then ρ 1 = ρ 2 = 3 g/cc c) 3 – ρ 2 3 + ρ 2 - ( -3 – ρ 2 ) (-1)=k 6=a A = 6 - 1 as ρ 2 approaches 0, then A approaches 6/3 -1 or 1 (ρ 2 – (-3))

7. y=a/x (0.001, 60) (0.002, 30) y=0.06/x 60=a/0.001 therefore a=0.06 30=a/0.002 therefore a=0.06 Since a has the same value, then we can assume that h, k are 0 and 0

8. An antenna (or aerial) is an electrical device which converts electric currents into radio waves, and vice versa. It is usually used with a radio transmitter or radio receiver. In transmission, a radio transmitter applies an oscillating radio frequency electric current to the antenna's terminals, and the antenna radiates the energy from the current as electromagnetic waves (radio waves). In reception, an antenna intercepts some of the power of an electromagnetic wave in order to produce a tiny voltage at its terminals, that is applied to a receiver to be amplified. An antenna can be used for both transmitting and receiving.electric currents radio wavesradio transmitterradio receiverradio frequencyelectromagnetic waves Antennas are essential components of all equipment that uses radio. They are used in systems such as radio broadcasting, broadcast television, two-way radio, communications receivers, radar, cell phones, and satellite communications, as well as other devices such as garage door openers, wireless microphones, bluetooth enabled devices, wireless computer networks, baby monitors, and RFID tags on merchandise.radioradio broadcastingbroadcast televisiontwo-way radio communications receiversradarcell phonessatellite communicationsgarage door openerswireless microphonesbluetoothwireless computer networksbaby monitorsRFID tags Typically an antenna consists of an arrangement of metallic conductors ("elements"), electrically connected (often through a transmission line) to the receiver or transmitter. An oscillating current of electrons forced through the antenna by a transmitter will create an oscillating magnetic field around the antenna elements, while the charge of the electrons also creates an oscillating electric field along the elements. These time-varying fields radiate away from the antenna into space as a moving electromagnetic field wave.conductorselementstransmission lineelectronsmagnetic fieldchargeelectric field Wikipedia (source)

9. p.72 #18 V(m/s) = F (Hz)·λ (m) therefore λ = V/F Speed of light = 3 x 10 8, so λ = (3 x 10 8) /F b)1. λ= (3 x 10 8 )/(14.04 x10 6 )= 21.37m radiating element= 0.2375(21.37m)=5.07m 2. λ= (3 x 10 8 )/(10.106 x10 6 )= 29.69m radiating element= 0.2375(29.69m)= 7.05m 3. λ= (3 x 10 8 )/(146.7 x10 6 )= 2.04m radiating element= 0.2375(2.04m)= 0.48m