Final answer:
To solve for r given xaf, the correct techniques are substitution and solving linear equations. These are suitable when the equation is algebraic and linear in terms of r. It is important to identify knowns, solve appropriately, and check that the solution is reasonable.
Step-by-step explanation:
To solve for r given x aθ, the appropriate techniques needed would depend on the specific form of the equation provided. Given the symbols and context, it appears we are dealing with rotational motion or similar mathematical problems involving angular measurements. If the equation provided is an algebraic representation that includes r as a variable, the following techniques could be suitable:
- Substitution: If we are given a set of equations, we can solve one equation for a variable and then substitute that expression into another to solve for r.
- Solving linear equations: If the provided equation is linear with respect to r, we can manipulate the equation to isolate r on one side to find its value.
The other options provided, such as integration and differentiation, are typically associated with calculus and would not necessarily apply to solving for r unless the context of the problem includes rates of change or accumulation functions, which is not indicated here.
Next, we identify the knowns and use these values to solve the appropriate equation for r. Make sure that all the units are consistent and, where appropriate, use units of radians for angles. Finally, always check your answer to ensure that it is reasonable within the context of the problem.