Math, asked by portillogabriel914, 11 months ago

Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=\dfrac12x^2 -10xd(x)= 2 1 ​ x 2 −10xd, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 2, end fraction, x, squared, minus, 10, x How many seconds after diving will Rui reach his lowest altitude?

Answers

Answered by amitnrw
18

Given : Rui is a professional deep water free diver. His altitude (in meters relative to sea level), d(x) = (1/2)x²  - 10x

To find :  How many seconds after diving will Rui reach his lowest altitude

Solution:

d(x) = (1/2)x²  - 10x

d'(x) = x  - 10

putting d'(x) = 0

=> x - 10 = 0

=> x = 10

d''(x) = 1

=> d(x) has minimum value when   x = 10

d(x) = (1/2)x²  - 10x

d(10) = (1/2)10² - 10(10)

= 50 - 100

= -50

After 10 Seconds of  diving Rui reach his lowest altitude = - 50

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Answered by deepakdeeps2007
8

Answer:

10 seconds

Step-by-step explanation:

50m

MARK as brainliest

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