0
How can you determine the rate of change and initial value of a relation from its equation?
Wiki User
∙ 11y ago
If 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 ago
Add your answer:
Earn +20 pts
What is a vertical change in relation to slope?
Gradient (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").
What equation can you use to find acceleration?
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."
How can you determine the rate of change or slope if it is not directly given?
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.
Whats the equation for acceleration?
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)
How to find the constant rate of change?
To find the constant rate of change is by taking the final minus initial over the initial.
What is the relation quadratic equation to linear equation?
The derivative of a quadratic function is always linear (e.g. the rate of change of a quadratic increases or decreases linearly).
What is an expenditure multiplier model?
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.
What is the equation for change in acceleration?
accelaration is defined as the rate of change of velocity. Therefore the formula for acceleration is a =(Final Velocity - Initial Velocity) divide by the (change in time)
By what factor will the rate of the reaction change if the pH changes from 6.50 to 2.00?
Determine the initial hydrogen ion concentration Determine the final hydrogen ion concentration see the difference... 3.2×104
If i have the initial and after temperature how would i be able to find the change in temperature?
You subtract the initial from the after, and the result is the change. If the initial temperature is 50º and the after is 70º, then the change is +20º.
What is the equation for conservation for momentum?
The equation is:In any closed system,Final total momentum = Initial total momentum_________________________________________For mathematical purposes:In relation to collisions:Total momentum is conserved, assuming a closed system of forces.If you have two bodies colliding, A and B, the change in the momentum of A will be equal to the negative change in momentum of B. This is because of Newton's 3rd Law (action and reaction forces equal and opposite).ΔpA = -ΔpB (where p is momentum)That in itself already represents the concept of the conservation of momentum, but if you want to break it down further:Substituting the equation p = mv into the above equation,mAvA - mAuA = - ( mBvB - mBuB), ormAuA + mBuB = mAvA+ mBvB (equation 1)where m is mass, u is initial velocity and v is final velocity.This means that total initial momentum = total final momentum, which is the law of conservation of momentum.If you're dealing with elastic collisions, you can simplify it to this:uA - uB = vB - vAIf you want to prove it, substitute equation 1 into Ek = (1/2)(mv2) and call the resulting equation "equation 2". Then solve equation 1 and equation 2 to get the simplified equation shown above.Please note this simplified equation is ONLY for elastic collisions because it is only in ellastic collisions that kinetic energy is also conserved.
How is the change in momentum calculated?
IN general change is defined as the difference of initial from the final. So change = Final - Initial. Hence change in momentum = Final momentum - initial momentum
What is a vertical change in relation to slope?
Gradient (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").
What equation can you use to find acceleration?
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."
How do you find change in velocity?
when using energy use the kinetic energy equation for change KE = .5(M)(Vf^2 - Vo^2) M = mass Vf = fianal velocity Vo = initial velocity
How can you determine the rate of change or slope if it is not directly given?
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.
Whats the equation for acceleration?
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)
