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vovangra [49]
3 years ago
13

Find the slope of the tangent line to the graph of f at the given point. 

Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0

slope = 13

the slope of the tangent is f'( 4)

given f(x) = x² + 5x , then f'(x) = 2x + 5

and f'(4) = ( 2 × 4 ) + 5 = 13


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Help please. Just need to answer 29-31 then I’m done. Thanks
Free_Kalibri [48]

Answer:

29. See table below

30. See attached graph

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Step-by-step explanation:

The cost is $0.5  first minute and $0.10 for any additional minutes

If c is the total cost of a call that last t minutes then;

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29. Use the equation above to create the table as;

t {x}            c{y}

1                  0.6

2                 0.7

3                 0.8

4                 0.9

5                 1.0

6                 1.1

The graph of this plot is as attached , where the coordinates are

{1,0.6} , {2,0.7} ,{3,0.8} ,{4,0.9} ,{5,1.0}, {6,1.1}

The slope can be found using the formula;

m=Δy/Δx

m= 1.1 - 0.6 / 6-1

m= 0.5 / 5 = 0.10

The slope represent the cost for every additional call minute.

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