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3 years ago

Find f′ in terms of g′

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

3 0

9514 1404 393

Answer:

(e) f′(x)=2xg(x)+x²g′(x)

Step-by-step explanation:

The product rule applies.

(uv)' = u'v +uv'

Here, we have u=x² and v=g(x). Then u'=2x and v'=g'(x).

f(x) = x²·g(x)

f'(x) = 2x·g(x) +x²·g'(x)

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Willy rents a bike for 7 days. The charge is $15 plus the $0.08 per mile. He wants to spend exactly $35. How many miles can he r

Burka [1]

Answer:

Willy can ride the bike for 250 miles.

Step-by-step explanation:

$35 - $15 = $20

$0.08 × 12.5 = $1

$1 per 12.5 miles

$20 × 12.5 = 250

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2 years ago

At the last showing, 35% of the seats in the theater were empty. If 546 people were in attendance, how many total seats are ther

Arisa [49]

Answer:

=> ( 546 x 65 ) /35 = 294

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Step-by-step explanation:

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2 years ago

Z wants to buy five shirts worth 34 dollars each and three baseball caps worth 31

ella [17]

Answer:

$199.50

Step-by-step explanation:

10% discount of $34 = 10/100*34 = $3.40

so, a single shirt costs $34-$3.40 = $30.60

half off = 50% discount of $31 = 50/100*31 = $15.50

so, a single cap costs $31-$15.50 = $15.50

so, 5 shirts and 3 caps cost now

5*$30.60 + 3*$15.50 = $153 + $46.50 = $199.50

but careful - can this be a trick question ?

the phrasing of the problem description can also suggest that the discounts are only listed to confuse us and are already included in the mentioned prices ("worth" $34 - what does that mean ? because including the discounts they are currently "worth" their prices).

then it would just plainly be

5*$34 + 3*$31 = $170 + $93 = $263

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3 years ago

Which value is in the domain of f(x)?

ahrayia [7]

Answer:

Step-by-step explanation:

$f(x)=-2x+3, 0$