answer:The internalization of a negative externality from a particular production process will not cause a shift in the market demand curve. The demand curve represents the relationship between the price of a good or service and the quantity demanded by consumers. It is determined by factors such as consumer preferences, income, and the prices of related goods. The internalization of an externality, which is a cost or benefit that is not reflected in the market price, does not directly affect these factors. Therefore, the market demand curve will remain unchanged.

answer:The given limit does not exist because the function is undefined for values of ( x ) greater than the respective square root's radicands: {eq}sqrt{5 - x} text{ is defined when } 5 - x geq 0 Rightarrow x leq 5 sqrt{2 - x} text{ is defined when } 2 - x geq 0 Rightarrow x leq 2 {/eq} Since the domain of the function requires ( x ) to be less than or equal to both 5 and 2, the function is not defined for values approaching positive infinity. Hence, the limit cannot be calculated.

answer:Given a lamp 20 feet above the ground, a man 6 feet tall walks away from the pole with a speed of 5 feet per second along a straight path. Using similar triangles, we can establish the following equation: DC/DE = AC/AB x/6 = (z + x)/20 Simplifying this equation, we get: 20x = 6z + 6x x = (6z/14) Now, given that dz/dt = 5 feet per second, we can differentiate the equation for x with respect to t: dx/dt = (6/14) * (dz/dt) dx/dt = (6/14) * 5 dx/dt = 3 Therefore, the length of the man's shadow is changing at a rate of 3 feet per second.

answer:Personal factors are those unique characteristics and circumstances that directly affect a particular child's development. These factors can significantly impact a child's physical, cognitive, emotional, and social growth. Some common personal factors include: - Health: A child's overall health, including any chronic illnesses or disabilities, can have a significant impact on their development. For example, a child with a chronic illness may have difficulty attending school regularly, which can affect their academic progress and social interactions. - Disability: Children with disabilities may face additional challenges in their development. For example, a child with a physical disability may have difficulty participating in physical activities, which can affect their motor skills and social development. - Sensory Impairment: Children with sensory impairments, such as hearing loss or visual impairment, may have difficulty perceiving and interacting with their environment. This can affect their language development, social skills, and academic achievement. - Learning Disability: Children with learning disabilities may have difficulty with specific academic skills, such as reading, writing, or math. This can affect their self-esteem, motivation, and social relationships. - Heredity: A child's genetic makeup can also influence their development. For example, a child with a family history of mental illness may be at an increased risk of developing a mental health disorder. - Poverty: Children living in poverty may face a number of challenges that can affect their development. For example, they may have difficulty accessing quality healthcare, education, and nutrition. This can lead to delays in physical, cognitive, and social development. - Abuse: Children who have experienced abuse, neglect, or trauma may have difficulty forming healthy relationships, regulating their emotions, and coping with stress. This can have a lasting impact on their development.