Solutions
<span>To solve the problem our first step is to find the prime factorization of each number. </span>
4 = 2²
<span>5 = 5 </span>
<span>6 = 2 x 3
</span>
Calculations
<span>LCM = 2² x 3 x 5 = 60 </span>
Answer:
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Answer:
<em>V(t) = π(4cos πt -5sinπt) cm</em>
Step-by-step explanation:
Given the displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 4 sin πt + 5 cos πt, where t is measured in seconds, the average velocity of the body will be expressed as the change in displacement of thee particle with respect to time.
This is expressed mathematically as V = ds/dt
Differentiate the displacement function to get the velocity V
V = 4πcos πt + (-5πsin πt)
open the parenthesis
V = 4πcos πt - 5πsin πt
bring out the common factor
V = π(4cos πt -5sinπt)
<em>Hence the average velocity of the body during each time is expressed as </em>
<em>V(t) = π(4cos πt -5sinπt) cm</em>
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