Tangent line problems

[melissaj]

1. Determine the equation of the tangent line to the curve s ( t ) = 4 t² −3 t + 2 at the point ( 4, s(4) ).
(The domain variable in this problems is t. )

2. Determine the slope of the tangent line to the curve f(x)=√{5 x − 28} at the point ( 7.4, 3 ).
3. Determine the equation of the tangent line to the curve f(x)=√{5 x − 28} at the point ( 7.4, 3 ).

 

[Deleted member 4993]

1. Determine the equation of the tangent line to the curve s ( t ) = 4 t² −3 t + 2 at the point ( 4, s(4) ).
(The domain variable in this problems is t. )

2. Determine the slope of the tangent line to the curve f(x)=√{5 x − 28} at the point ( 7.4, 3 ).
3. Determine the equation of the tangent line to the curve f(x)=√{5 x − 28} at the point ( 7.4, 3 ).

Hint for # 1

What is the slope of the tangent line of the given curve at the given point?

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