Mathematics, 21.01.2020 11:31 Amaris0901

What is the local minimum value of the function? (round answer to the nearest hundredth)
g(x)=x^4-5x+4

Answers: 2

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Take the derivitive
g'(x)=4x³-5
find whre it equals 0
4x³-5=0
4x³=5
x³=1.25
x=∛1.25≈1.08

make a sign chart
at 1.08, make a mark
evaluate the derivitive to the left and right of 1.08, make note of the sign only
g'(0)=(-)
g'(2)=(+)

the sign changes from negative to positive and is 0 at x=∛1.25
downward slope, then 0 slope then upward slope indicates a minimum

find the y value
g(∛1.25)=1.25∛1.25-5∛1.25+4≈-0.0395, rounded -0.04

minimum at (1.08,-0.04)

Answer from: Quest

The answer is biodiversity resulting from new ancestors.

Answer from: Quest

step-by-step explanation:

i found the life tables for the year 2012.

life table of males at age 30. probability of dying between ages x and x+1

total population:

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old.

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

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