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∙ 11y agoIf the equation is of the form y = f(x) where f is some function of the variable x, then
The initial value is found by evaluation f(0): that is, the value of f(x) when x = 0.
The rate of change is the derivative of f(x) with respect to x, written as f'(x). That is the limit (if it exists), as dx tends to 0, of [f(x+dx) - f(x)]/dx.
In the simple case, where f(x) is a linear equation of the form y = mx + c, then f(0) = c and f'(x) = m
Wiki User
∙ 11y agoGradient (on a graph as I assume you mean), or the differential of the line's equation (dy/dx which means "the difference in y with respect to a difference in x").
Acceleration equals the change in the velocity divided by time. The change in the velocity is found by subtracting the initial velocity from the final velocity. It is written as "a equals delta v over t."
The answer depends on what information you are given - and in what form. If the equation of the curve is given in polar coordinates or in parametric form, the process is quite different to that required when given the Cartesian equation.
Acceleration=force divided by mass. The above is Newtons second law. Acceleration is also the change in velocity over the change in time, so it can also be stated as a=(final velocity - initial velocity)/(elapsed time)
To find the constant rate of change is by taking the final minus initial over the initial.
To determine the change in an object's momentum, you need to know the initial momentum of the object (mass x initial velocity) and the final momentum of the object (mass x final velocity). The change in momentum is equal to the final momentum minus the initial momentum.
The derivative of a quadratic function is always linear (e.g. the rate of change of a quadratic increases or decreases linearly).
To determine the change in volume, you can use the ideal gas law equation: V2 = V1*(T2/T1). Substituting the values, the change in volume would be V2 - V1 = V1*(T2/T1) - V1. Just plug in the initial volume of 1.95 L, initial temperature of 250.0 K, and final temperature of 442.2 K to find the change in volume.
The equation for change in acceleration is Δa = a_end - a_start, where Δa is the change in acceleration, a_end is the final acceleration, and a_start is the initial acceleration.
Acceleration is calculated using the equation a = (v_f - v_i) / t, where a is the acceleration, v_f is the final velocity, v_i is the initial velocity, and t is the time taken to change from the initial velocity to the final velocity.
In the acceleration equation, the term vi represents the initial velocity, which is the velocity of an object at the beginning of the time period being considered. This term is subtracted from the final velocity (vf) to determine the change in velocity over time (t), which is then used to calculate the acceleration of the object.
Delta in the equation for thermal energy typically represents a change or difference, such as a change in temperature or heat energy. It signifies the final state of the system minus the initial state to calculate the thermal energy change.
Acceleration is defined as the rate of change of velocity with respect to time. The equation for acceleration is a = (v_f - v_i) / t, where a is acceleration, v_f is the final velocity, v_i is the initial velocity, and t is the time interval.
An object's position changes over time due to its velocity, which is the rate of change in position with respect to time. By integrating the velocity over time, we can determine the position of the object. This relationship is described by the equation: position = initial position + velocity * time.
To calculate initial acceleration, you need to determine the change in velocity over time. Initial acceleration can be calculated using the formula a = (v - u) / t, where a is the acceleration, v is the final velocity, u is the initial velocity, and t is the time taken. By plugging in the values for initial and final velocities, along with the time taken for the change, you can find the initial acceleration.
The model tells you how much you need to multiply an initial autonomous change in AD (aggregate demand) to determine the total change in AD.
Displacement refers to the change in an object's position from one point to another. It helps determine the object's overall movement in a specific direction. Calculating displacement gives a clear understanding of the object's final position in relation to its initial position.