<p>hi guys im really stuck on this problem can someone please help me </p>
<p>For the following function what is the maximum value of X and at what values of T will this occur, for 0≤ t ≤ 20 s? X is the position in meters and T is the time in seconds.</p>
<p>X(T) = 12sin3/2T+6 inches</p>
<p>Find x’(t). Set equal to 0. Solve for t.</p>
<p>To find the max value itself, plug those values of t back into the original equation, x(t).</p>
<p>""Find x’(t). Set equal to 0. Solve for t.</p>
<p>To find the max value itself, plug those values of t back into the original equation, x(t). “”</p>
<p>For maximization on a closed interval (0 <= t <= 20), you also need to check the end points x(0) and x(20).</p>
<p>So check x(0) and x(20) in addition to the critical points (the points where x’(t)=0).</p>