Let F Be the Number of Fruit Tree Blossoms (In

question 94

Multiple Choice

Let f be the number of fruit tree blossoms (in ten thousands) and let b be the number of bees (in hundreds) in an orchard. Suppose f and b satisfy the differential equations and , which correspond to the slope field in the figure. Assume f = 3 and b = 3 when t = 0. What happens to the number of fruit tree blossoms and bees over time?

• A)The solution approaches the origin.
• B)The solution approaches the line f = b.
• C) , but b does not.
• D) , but f does not.

---

Definitions:

Life-threatening Condition

A health condition or disease that has the potential to cause death unless it is effectively treated.

Obsessive-compulsive Disorder

A chronic anxiety disorder characterized by uncontrollable, reoccurring thoughts (obsessions) and behaviors (compulsions) the individual feels the urge to repeat.

Perfectionistic Standards

High or unrealistic standards that one attempts to meet, often leading to stress or feelings of inadequacy.

Intrusive Thoughts

Unwanted, often distressing ideas, images, or impulses that spontaneously enter one's mind.