- #1
Remy Starr
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Homework Statement
Find all values of c in the open interval (a,b) such that f'(x)=0.
Homework Equations
f(x)=(x-2)(x+3)^2 [-3,2]
To solve for c in the equation (a,b), you need to use algebraic techniques such as substitution and elimination. First, rearrange the equation to isolate the variable c. Then, plug in the values of a and b to solve for c.
Solving for c in (a,b) allows you to find all possible values of c that satisfy the given equation. This can help in solving real-world problems or understanding mathematical relationships.
Yes, there can be more than one solution for c in (a,b). This is because there are different combinations of values for a and b that can result in the same value of c. It is important to check your solutions to make sure they are valid.
Some common methods for solving for c in (a,b) include using the quadratic formula, factoring, and completing the square. These methods are used depending on the form of the equation and the values of a and b.
Solving for c in (a,b) can be applied in various situations such as in engineering, finance, and science. For example, it can be used to find the roots of a quadratic function in physics problems or to determine the interest rate in financial calculations.