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labwork [276]
3 years ago
15

If f left parenthesis 0 right parenthesis equals 0​, f prime left parenthesis 0 right parenthesis equals 3​, f double prime left

parenthesis 0 right parenthesis equals 0​, and f triple prime left parenthesis 0 right parenthesis equals 2​, then which of the following is the​ third-order Taylor polynomial generated by f left parenthesis x right parenthesis at xequals​0?
Mathematics
1 answer:
Sati [7]3 years ago
8 0
Parenthesis at xequals0
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Bobby and Rick are in a 16​-lap race on a​ one-mile oval track.​ Bobby, averaging 94 ​mph, has completed six laps just as Rick i
Reptile [31]

Answer: Hello!

first let's note the things we already know:

there is a 16- lap race and the oval has one mile of length, then each of the laps has a length of one mile, and the whole race has 16 miles in total

Bobby averages 94 mph and already did 6 laps ( or 6 miles)

then we could write the Bobby equation as B(t) = 6 miles + 94mph*t

where t represents the time in hours.

now we could see how much time Bobby needs to end the race:

B(x) = 6mi + 94mph*x = 16mi

94mph*x = 16mi - 6mi = 10mi

x = (10/94)h = 0.106h

so Bobby needs 0.106 hours to finish the race, and we want to know which velocity Rick should have in order to reach the end of the race at the same time as Bobby.

Rick is starting the race, so he needs to do 16 miles in 0.106 hours, and as we know velocity is distance over time; so the average velocity of Rick is:

V = 16mi/0.106h = 150.9mph

Now let's see the hint:

Bobby does 8 miles in:

94*t = 8

t = 8/94 = 0.085 hours

and Rick does 10 miles in:

150.9*t = 10

t = 10/150.9 = 0.066 hours

wich is clearly different times, so maybe the hint is wrong.

5 0
3 years ago
Is this linear relationship a direct variation?
Talja [164]

Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.

Step-by-step explanation:

A relationship is said to have direct variation if ratio of second variable to the ratio of first variable remains constant.

A relationship is direct variation if y=kx\,\,or\,\, \frac{y}{x} =k where k is the constant.

Now checking if the given data is having direct variation or not.

x       y

3       24

4       32

5       40

6       48

Now finding y/x

if y=24 and x = 3 then y/x = 24/3 = 8

if y=32 and x = 4 then y/x =32/4=8

if y=40 and x = 5 then y/x =40/5 =8

if y=48 and x = 6 then y/x =48/6= 8

Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.

Keywords: Direct Variation

Learn more about Direct Variation at:

  • brainly.com/question/10708697
  • brainly.com/question/2495851
  • brainly.com/question/5069437

#learnwithBrainly

5 0
3 years ago
Which of the following is not a typical characteristic of a linear programming problem?
adell [148]
The answer is c. The problem can be solved graphically
6 0
3 years ago
Write 107% as a decimal. Pls with solutions
otez555 [7]

Answer:

1.07

Step-by-step explanation:

1 To convert to a decimal, divide the percent number by 100.

<h3>107÷100=1.07</h3>

2 Therefore, the decimal form is 1.07

<h3>1.07</h3>

5 0
2 years ago
Read 2 more answers
Which of the following represents a geometric sequence? I 1/4, 1/4, 1/4, 1/4 II 1/4, 1/5, 1/6 III 1/4, 1, -4, 1/6 IV 1/4, -4, 1/
LenaWriter [7]
I'm pretty sure it would be none of these because1/4*5=1 and 1/4 then it would be 6 and 1/4 then it would be 31 and 1/4
7 0
3 years ago
Read 2 more answers
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