Question

Explain why a “+c” (a constant)is necessary when determining the anti derivative of a function.describe how the exact value of “C” can be obtained

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Murray

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When calculating the antiderivative of a function, the constant "+C" is necessary to account for all possible antiderivatives of the function. This constant is an unknown value that can be added to the antiderivative, as adding a constant does not change the derivative of a function.

To determine the exact value of "C," you would typically require an initial condition or specific information about the function to solve for "C" uniquely. For example, if you have an initial condition such as a point on the function's graph (x, y), you could substitute these values into the antiderivative equation to solve for the constant "C."

To summarize, the constant "+C" is necessary when determining the antiderivative to account for all possible antiderivatives of the function, and the exact value of "C" can usually be obtained by using initial conditions or known information about the function.

\textbf{Answer:} The constant "+C" is necessary to account for all possible antiderivatives of the function, and the exact value of "C" can be obtained by using initial conditions or known information about the function.

To determine the exact value of "C," you would typically require an initial condition or specific information about the function to solve for "C" uniquely. For example, if you have an initial condition such as a point on the function's graph (x, y), you could substitute these values into the antiderivative equation to solve for the constant "C."

To summarize, the constant "+C" is necessary when determining the antiderivative to account for all possible antiderivatives of the function, and the exact value of "C" can usually be obtained by using initial conditions or known information about the function.

\textbf{Answer:} The constant "+C" is necessary to account for all possible antiderivatives of the function, and the exact value of "C" can be obtained by using initial conditions or known information about the function.

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