Find an Equation of the Line Tangent to the Graph $y = 7 ^ { x } + 2$

question 35

Multiple Choice

Find an equation of the line tangent to the graph of $y = 7 ^ { x } + 2$ at the point $( 0,3 )$ .

• A) \(y = ( \ln 7 ) x + 3\)
• B) \(y = 7 x + 3\)
• C) \(y = 7 x + 2\)
• D) \(y = ( \ln 7 ) x + 2\)

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Definitions:

Towers of Hanoi

A mathematical game or puzzle consisting of three rods and a number of disks of different sizes that need to be moved from one rod to another under certain rules.

Reasoning by Analogy

A cognitive process where understanding and problem-solving are achieved by highlighting the similarities between two different situations or domains.

Old Problem

A previously encountered or longstanding issue that has not been resolved.

Similarly Structured Problem

A problem that, despite different contexts or content, shares an underlying structure or logic with another problem, allowing strategies from one to be applied to the other.