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
87
likes437 views
Answer to a math 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
Murray
4.592 Answers
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.
Frequently asked questions (FAQs)
What is the radian measure of a central angle subtended by an arc of length 2π in a circle?
+
What is the measure of angle BAC if the angle bisector of angle BAC splits angle BAC into two congruent angles?
+
What is the resultant vector when a vector of magnitude 10 in the east direction is added to a vector of magnitude 8 in the north direction?
+
New questions in Mathematics