Mathematics : asked on acejr819
 13.04.2020

Suppose that f(x) is a function with f(120) = 37 and f'(120) = 6. Estimate f(122).

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03.03.2023, solved by verified expert
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Answer:

f(122) = 49

Step-by-step explanation:

Using linear approximation for y = f(x) at x = a is, 

f(x) = f(a) + f'(a)(x - a) 

For the given question, a = 120

So, 

f(x) = f(120) + f'(120)(x - 120) 

Putting known values, 

f(x) = 37 + 6(x - 120) 

So, at x = 122,

f(122) = 37 + 6(122 - 120) 

= 37 + 12

= 49

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Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

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The answer is in the image 

The answer is in the image 
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y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

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The answer is in the image 

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Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

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Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

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Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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Step-by-step answer
P Answered by PhD

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

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