Let f be a twice-differentiable function with derivative given by f('X) = 4x^3-24x^2. Part A: Find the x-coordinate of any possible critical points of f. Show your work. (2 points)
Part B: Find the x-coordinate of any possible inflection points of f. Show your work. (2 points)
Part C: Use the Second Derivative Test to determine any relative extrema and inflection points. Justify your answers. (3 points)
Part D: If has only one critical point on the interval (5,8), what is true about the function of f on the interval [5, 8]? Justify your answers.

the amount you'd have after the work is $1.55

step-by-step explanation:

you subtract 95% from $31.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

both the histogram and the stem and leaf plot will visually show how many shoppers were of various ages within each range of data.   the histogram does not give us the specific ages of these shoppers unlike the stem and leaf plot.a histogram does not give us a true range of the data because we do not know exactly how old the shoppers were. a stem and leaf plot will give exact ages, so we can determine the exact range along with all measures of center and the others measures of center.   with the histogram, we cannot find any of these.

step-by-step explanation: