[Solved] (a) Draw a direction field for the function \(f ( x ) = \sin x\) . Use this direction field to sketch several members of the family of antiderivatives.(b) Compute the general antiderivative for \(f ( x ) = \sin x\) explicitly and sketch several specific antiderivatives. Compare these results with your sketches from part (a). Response Tendencies: The habitual ways in which individuals react to certain stimuli or situations, often developed through experience or conditioning. Shooting Task: A specific activity or exercise designed to practice or assess accuracy and proficiency in using firearms or in contexts like sports, aiming at targets. Sexual Harassment Laws: Regulations and statutes that define and address unwanted sexual advances, requests for sexual favors, and other verbal or physical harassment of a sexual nature. Modern Discrimination: Present-day biases or prejudices against individuals or groups, which can be subtle and systemic rather than overt.