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Challenge Problem Beats When two sinusoidal waves travel through the same medium, a third wave is formed that is the sum of the two original waves. If the two waves have slightly different frequencies, the sum of the waves results in an interference pattern known as a beat. Musicians use this idea when tuning an instrument with the aid of a tuning fork. It the instrument and the tuning fork. If the instrument and the tuning fork play the same frequency, no beat is heard. Suppose two waves given by the functions,
How long does it take the sum function
If the periods of the two functions
Use the values from part (b) to graph
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Chapter 8 Solutions
Precalculus
- The presence of mercury in fish is a health concern for people who eat them, especially for women who are or may become pregnant, nursing mothers, and young children. This problem is concerned with mercury contaminant in Atlantic cod (Gadu morhua) caught at the location of 68 12'0" N, 14°48'0" E, North Atlantic. There are three selected attributes, age, body length, and the output is the mercury level in the fish muscle, as shown in Table 1. It is generally known that mercury concentration increases if age and/or body length increase. Table 1: Mercury concentration in different fish attributes b) c) No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Age Body (Year) Length (cm) 18 19 20 2 2 2 2 2 2 2 2 3 2 2 2 3 4 2 2 2 8 1 3 235 450 440 400 455 30 440 Divide fish into two groups: Group 1: Age 1-2, Group 2: Age 3-8. 490 450 490 435 490 460 585 500 505 435 620 430 550 Mercury Concentration (mg/kg) 0.01 0.011 0.020 0.020 0.020 0.020 0.021 0.021 Obtain the frequency distribution of the age in…arrow_forwardQuestion: Identify and illustrate the product of three reflections under the following conditions: 2.1 If the two lines of reflection intersect at a point on the third; 2.2 If the two lines of reflection intersect at a point not on the thirdarrow_forwardRow 1 Row 2 rta tena te a M igph hain (3) .edhan patcoarrow_forward
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- If ABC=DEC, ABC=2x, BCA=48°,and CDE=74°arrow_forwardAC. Find (i) point D on ABC is an isosceles triangle having AB BC so that, if DE is drawn LBC to meet AB in E, then AD² + DE² AB²; (ii) point F on CB produced so that, if FG is |BC to meet AB produced in G, then AF² – FG² = AB². %3D %3D E B Marrow_forwardbe (image01)arrow_forward
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