Let F Be the Function Defined by

question 144

Short Answer

Let f be the function defined by . Find the differential of f. ​
dy = __________ ​
Find the approximate change in y if x changes from 3 to 3.01. ​
dy = __________ ​
Find the actual change in y if x changes from 3 to 3.01.
__________

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Definitions:

Religious Belief

A conviction or faith regarding the existence, nature, and worship of a deity or deities, and the divine involvement in the universe and human life.

Ontological Argument

A philosophical argument for the existence of God based on the premise that the very concept of God implies his existence.

Kant

A German philosopher who is a central figure in modern philosophy, known for his works on epistemology, ethics, and aesthetics.

Cosmological Argument

An argument (or set of arguments) that undertakes to prove that God exists on the basis of the idea that there must have been a first cause or an ultimate reason for the existence of the universe (the cosmos).