Final answer:
To find the value of t for which y= has a horizontal tangent, we need to determine when the derivative of y with respect to t is equal to zero.
Step-by-step explanation:
To find the value of t for which y= has a horizontal tangent, we need to determine when the derivative of y with respect to t is equal to zero. The derivative represents the rate of change of y with respect to t at any given point. So, setting the derivative equal to zero and solving for t will give us the value at which the tangent line to the curve is horizontal.
For example, if the equation is y = f(t), then we can find the derivative dy/dt and set it equal to zero. Solving that equation will give us the value of t at which the tangent line is horizontal.