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fmdk
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Given a simple equation y = y (t), where does maximum occur.
I am thinking that this is an asymptote?
is this a correct assumption?
I am thinking that this is an asymptote?
is this a correct assumption?
Without knowing the formula for your function, it is impossible to know where a maximum occurs or whether the function has an asymptote of any kind.fmdk said:Given a simple equation y = y (t), where does maximum occur.
I am thinking that this is an asymptote?
is this a correct assumption?
fmdk said:Given a simple equation y = y (t), where does maximum occur.
I am thinking that this is an asymptote?
is this a correct assumption?
Char. Limit said:Well, firstly, what dictates a maximum? We know that for it to be a maximum, the slope at that point must be zero, so y'(t)=0.
Bohrok said:y = -|x| isn't differentiable at its maximum.
In the equation y = y(t), "maximum" refers to the highest value that y can reach. This value is often denoted as y(max) or ymax and is determined by the value of t that produces the largest output for y.
To find the maximum value in the equation y = y(t), you can take the derivative of y with respect to t and set it equal to 0. Then, solve for t to find the value of t that produces the maximum value for y. Plug this value back into the original equation to find the corresponding maximum value for y.
Yes, it is possible for there to be multiple maximum values in the equation y = y(t). This can occur if there are multiple values of t that produce the same maximum value for y. In this case, the equation would have multiple solutions for t when the derivative is set equal to 0.
If there is no maximum value in the equation y = y(t), then the output for y will continue to increase without ever reaching a maximum value. This can happen if the equation represents a linear or exponential function with a positive slope, or if the equation has no real solutions for t when the derivative is set equal to 0.
No, the maximum value in the equation y = y(t) does not always correspond to the highest point on the graph. It is possible for the graph to have multiple peaks or for the maximum value to occur at a point where the graph is not at its highest point. This is dependent on the shape and behavior of the graph for the given equation.