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yawa3891 [41]
3 years ago
15

Consider lim t → 0+ ( −2 sin(4t) sin(4t) + 2 t cos(4t) ) . using a table of values, the limiting value is

Mathematics
1 answer:
Andrej [43]3 years ago
3 0
Since this is not a rational function (with undetermined values in the denominator), but just a normal expression, we can just substitute t with the value toward which the function is approaching. Since this is a continuous function, it doesn't matter from which side it's approaching 0. In this case, let t=0, then sin(4t)=0, cos(4t)=1, then -2 sin^2(4t)+2tcos(4t)=0. 
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Answer:

The answer to your question is $36

Step-by-step explanation:

Data

Total money = $50

2 gallons of milk = $3

a loaf of bread = $2

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Write an equation to solve this problem

Cost of 2 gallons of milk + a loaf of bread + 3 dozens of eggs + remainder = total cost

Substitution

                          $3 + $2 + 3($3) + remainder = $50

Simplification

                          3 +  2 + 9 + remainder = 50

                          remainder = 50 - 3 - 2 - 9

result

                         remainder = $36                      

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