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Assuming That the Equations Define X and Y Implicitly as Differentiable

question 54

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Assuming that the equations define x and y implicitly as differentiable functions x = f(t) , y = g(t) , find the slope of the curve x = f(t) , y = g(t) at the given value of t.
- 2xt2t=0,2ty+6t2=6,t=12 x - t ^ { 2 } - t = 0,2 t y + 6 t ^ { 2 } = 6 , t = 1

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Definitions:

Project-Based Organizations

Entities that operate through the completion of discrete projects instead of fixed, routine operations.

Technology-Driven World

A society significantly influenced by rapid technological advancements and digital innovations.

PERT Activity

A task or event within the Program Evaluation and Review Technique, a project management tool used to schedule, organize, and coordinate tasks within a project.

Critical Path

The sequence of stages determining the minimum time needed to complete a project, where any delay in the stages causes a delay in the project.

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