Question 15 (1 point) How long do people typically struggle with the progression of Alzheimer's disease? 1-2 years 3-6 years 8-10 years 10-15 years
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Alzheimer's disease can occur at any age, even as young as 40 years old, but its occurrence is much more common as the years go by. The frequency of occurrence of the disease (as a percentage) is given by $$f(t)=0.71 e^{0.7 t} \quad(1 \leq t \leq 5)$$ where $t$ is measured in 5 -year intervals, with $t=1$ corresponding to an age of 70 years. a. What is the frequency of occurrence of Alzheimer's disease for 70 -year-old people? For 90 year-old people? b. Show that $f$ is increasing on the interval $(1,5) .$ Interpret your results. c. Show that $f$ is concave upward on the interval $(1,5) .$ Interpret your result.
Exponential and Logarithmic Functions
Differentiation of Exponential Functions
Alzheimer's disease can occur at any age, even as young as 40 years old, but its occurrence is much more common as the years go by. The frequency of occurrence of the disease (as a percentage) is given by $$ f(t)=0.71 e^{0.7 t} \quad(1 \leq t \leq 5) $$ where $t$ is measured in 5 -year intervals, with $t=1$ corresponding to an age of 70 years. a. What is the frequency of occurrence of Alzheimer's disease for 70 -year-old people? For 90 year-old people? b. Show that $f$ is increasing on the interval (1,5) . Interpret your results. c. Show that $f$ is concave upward on the interval (1,5) . Interpret your result. Source: World Health Organization.
Exponential and Logarithmic Function
Think Critically How might a person differentiate between Alzheimer's disease and changes in mental processes as a result of aging?
Adulthood and Old Age
Old Age
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