Which of the Given Differential Equations Matches the Given Direction $\frac { d y } { d x } = x - 1$

question 85

Multiple Choice

Which of the given differential equations matches the given direction field?

• A) \(\frac { d y } { d x } = x - 1\)
• B) \(\frac { d y } { d x } = 1 - y ^ { 2 }\)
• C) \(\frac { d y } { d x } = 1 + y\)
• D) \(\frac { d y } { d x } = x ^ { 2 } - y ^ { 2 }\)
• E) \(\frac { d y } { d x } = y - 1\)
• F) \(\frac { d y } { d x } = y ^ { 2 } - x ^ { 2 }\)
• G) \(\frac { d y } { d x } = 1 - x\)
• H) \(\frac { d y } { d x } = y ^ { 2 } - 1\)

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Definitions:

Revenue and Spending Variances

involves analyzing the differences between budgeted and actual figures for revenue and expenditures, helping businesses understand financial performance.

Planning Budget

A budget created for a specific level of activity, used as a tool for decision making and planning within an organization.

Supplies Cost

The amount spent on materials and goods required for the operation of a business that are not directly included in the final product.

Spending Variance

The difference between the actual and budgeted spending. It is used in budgetary control to identify discrepancies and manage costs.