All Calculus 1 Resources
Example Questions
Example Question #371 : How To Find Velocity
The velocity function of a particle and a position of this particle at a known time are given by . Approximate using Euler's Method and three steps.
The general form of Euler's method, when a derivative function, initial value, and step size are known, is:
In the case of this problem, this can be rewritten as:
To calculate the step size find the difference between the final and initial value of and divide by the number of steps to be used:
For this problem, we are told
Knowing this, we may take the steps to estimate our function value at our desired value:
Example Question #372 : Calculus
The velocity function of a particle and a position of this particle at a known time are given by . Approximate using Euler's Method and three steps.
The general form of Euler's method, when a derivative function, initial value, and step size are known, is:
In the case of this problem, this can be rewritten as:
To calculate the step size find the difference between the final and initial value of and divide by the number of steps to be used:
For this problem, we are told
Knowing this, we may take the steps to estimate our function value at our desired value:
Example Question #372 : How To Find Velocity
The velocity function of a particle and a position of this particle at a known time are given by . Approximate using Euler's Method and two steps
The general form of Euler's method, when a derivative function, initial value, and step size are known, is:
In the case of this problem, this can be rewritten as:
To calculate the step size find the difference between the final and initial value of and divide by the number of steps to be used:
For this problem, we are told
Knowing this, we may take the steps to estimate our function value at our desired value:
Example Question #371 : How To Find Velocity
The velocity function of a particle and a position of this particle at a known time are given by . Approximate using Euler's Method and two steps
The general form of Euler's method, when a derivative function, initial value, and step size are known, is:
In the case of this problem, this can be rewritten as:
To calculate the step size find the difference between the final and initial value of and divide by the number of steps to be used:
For this problem, we are told
Knowing this, we may take the steps to estimate our function value at our desired value:
Example Question #375 : Calculus
The velocity function of a particle and a position of this particle at a known time are given by . Approximate using Euler's Method and two steps.
The general form of Euler's method, when a derivative function, initial value, and step size are known, is:
In the case of this problem, this can be rewritten as:
To calculate the step size find the difference between the final and initial value of and divide by the number of steps to be used:
For this problem, we are told
Knowing this, we may take the steps to estimate our function value at our desired value:
Example Question #376 : Calculus
The velocity function of a particle and a position of this particle at a known time are given by and . Approximate using Euler's Method and two steps.
The general form of Euler's method, when a derivative function, initial value, and step size are known, is:
In the case of this problem, this can be rewritten as:
To calculate the step size find the difference between the final and initial value of and divide by the number of steps to be used:
For this problem, we are told and
Knowing this, we may take the steps to estimate our function value at our desired value:
Example Question #377 : Calculus
The velocity function of a particle and a position of this particle at a known time are given by and . Approximate using Euler's Method and two steps.
The general form of Euler's method, when a derivative function, initial value, and step size are known, is:
In the case of this problem, this can be rewritten as:
To calculate the step size find the difference between the final and initial value of and divide by the number of steps to be used:
For this problem, we are told and
Knowing this, we may take the steps to estimate our function value at our desired value:
Example Question #378 : Calculus
The velocity function of a particle and a position of this particle at a known time are given by and . Approximate using Euler's Method and two steps.
The general form of Euler's method, when a derivative function, initial value, and step size are known, is:
In the case of this problem, this can be rewritten as:
To calculate the step size find the difference between the final and initial value of and divide by the number of steps to be used:
For this problem, we are told and
Knowing this, we may take the steps to estimate our function value at our desired value:
Example Question #379 : Calculus
The velocity function of a particle and a position of this particle at a known time are given by and . Approximate using Euler's Method and two steps.
The general form of Euler's method, when a derivative function, initial value, and step size are known, is:
In the case of this problem, this can be rewritten as:
To calculate the step size find the difference between the final and initial value of and divide by the number of steps to be used:
For this problem, we are told and
Knowing this, we may take the steps to estimate our function value at our desired value:
Example Question #380 : Calculus
The velocity function of a particle and a position of this particle at a known time are given by and . Approximate using Euler's Method and two steps.
The general form of Euler's method, when a derivative function, initial value, and step size are known, is:
In the case of this problem, this can be rewritten as:
To calculate the step size find the difference between the final and initial value of and divide by the number of steps to be used:
For this problem, we are told and
Knowing this, we may take the steps to estimate our function value at our desired value:
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