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Lilit [14]
3 years ago
13

If a great white shark weighs 4126 pounds, rank the following scale weights from most accurate to least accurate. 4200.34 pounds

4120 pounds 4100 pounds 4500.765 pounds
Mathematics
1 answer:
Llana [10]3 years ago
5 0
4,120 pounds ← error = 6 lbs 
<span>4,100 pounds ← error = 26 lbs </span>
<span>4,200.34 pounds ← error = 74.34 lbs </span>
<span>4,500.765 pounds ← error = 374.765 lbs</span>
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Answer:

r(t) = (e^t +1, -cos(t) + 3, tan(t) + 2)

Step-by-step explanation:

A primitive of e^t is e^t+c, since r(0) has 2 in its first cooridnate, then

e^0+c = 2

1+c = 2

c = 1

Thus, the first coordinate of r(t) is e^t + 1.

A primitive of sin(t) is -cos(t) + c (remember that the derivate of cos(t) is -sin(t)). SInce r(0) in its second coordinate is 2, then

-cos(0)+c = 2

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Therefore, in the second coordinate r(t) is equal to -cos(t)+3.

Now, lets see the last coordinate.

A primitive of sec²(t) is tan(t)+c (you can check this by derivating tan(t) = sin(t)/cos(t) using the divition rule and the property that cos²(t)+sin²(t) = 1 for all t). Since in its third coordinate r(0) is also 2, then we have that

2 = tan(0)+c = sin(0)/cos(0) + c = 0/1 + c = 0

Thus, c = 2

As a consecuence, the third coordinate of r(t) is tan(t) + 2.

As a result, r(t) = (e^t +1, -cos(t) + 3, tan(t) + 2).

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