Let \[g(x,y) = xy + y^2 +3 \] where \(x = uv^2\) and \(y = u + v^2\). Use the chain rule to find the partial derivative \(\displaystyle\frac{\partial g}{\partial v}\) at the point \((u,v) = (1,2)\).

Solve the differential equation \[\frac{dy}{dx}=1-x+y-xy\] with initial condition \(y(0)=0\).

Create a labeled property graph model to store movie information. Entities and activities are described below. Use nodes, relationships, and properties. Use () for nodes. Use {} for properties. Use [] for relationships. Use for relationship directions.   A movie has an ID, title and release year. An actor has an ID and a name. A theater has an ID and a zip code. A movie plays in a theater for a certain number of days. An actor plays a role in movie(s). The role played by an actor in a movie could be lead or supporting.

As he traveled about India, the Chinese pilgrim Xuanzang was

In “Data: The Prerequisite for Everything Analytical”., Davenport, et al., present seven key components (structure, uniqueness, integration, quality, access, privacy and governance) of data management for analytics as employed by the most sophisticated companies. They say “You can’t be analytical without data, and you can’t be really good at analytics without really good data”. Discuss one level of uniqueness, why uniqueness is important to an organization, and an example (from your own industry or others) of what kind of analytics is performed over such data Discuss why data quality is important to analytics, describe one approach that you as a data scientist would use to find data quality issues, and also how you would go about fixing those issues

Answer the following A) Explain one difference between Key/Value stores and relational databases in terms of schema B) Explain one difference between Key/Value stores and relational databases in terms of queries C) Give an example (application) where a key/value store would be an appropriate solution, and justify why key/value store is ideal for this example. D) Show a sample key/value pair E) Show a sample query that you would run on this key/value store

Which of the following led to the evolution of sexual dimorphism?

Scientific study of the population cycles of the snowshoe hare and its predator, the lynx, has revealed that ________.

In post-Gupta India, the local economy was dominated by

Dwarf mistletoes are flowering plants that grow on certain forest trees. They obtain nutrients and water from the vascular tissues of the trees. The trees derive no known benefits from the dwarf mistletoes, yet they are sometimes negatively affected by this interaction. Which of the following best describes the interactions between dwarf mistletoes and trees?