Find the linearization L(x) of f(x) at x = a.f(x) = tan x, a = ?

A. L(x) = x - 3?
B. L(x) = 3x - ?
C. L(x) = x - ?
D. L(x) = x + ?


Answer: C

Mathematics

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Provide an appropriate response.The parallel dot plots show the number of fatalities per year caused by tornadoes in a certain state for two periods: 1950-1974 and 1975-1999. In addition to comparing these distributions, suggest a reason to explain any differences. 

A. In both periods, the number of fatalities per year ranges from 0 to 5. During the period 1950-1974, the most common number of fatalities was 2. The distribution for this period is roughly symmetric - the number of years having more than 2 fatalities is roughly the same as the numbers of years having fewer than 2 fatalities. During the period 1975-1999, the most common number of fatalities is 0 and most years have 0 or 1 fatality. Only a few years have more than 1 fatality during this period. This could be due to higher construction standards, better warning systems, or medical advancements. B. In both periods, the number of fatalities per year ranges from 0 to 5. During the period 1950-1974, the most common number of fatalities was 2. The distribution for this period is roughly symmetric - the number of years having more than 2 fatalities is roughly the same as the numbers of years having fewer than 2 fatalities. During the period 1975-1999, the most common number of fatalities is 1 and most years have 1 or 2 fatalities. Only a few years have more than 2 fatalities during this period. This could be due to higher construction standards, better warning systems, or medical advancements. C. During the period 1950-1974, the number of fatalities per year ranges from 1 to 5 with the most common number of fatalities being 2. The distribution for this period is roughly symmetric - the number of years having more than 2 fatalities is roughly the same as the numbers of years having fewer than 2 fatalities. During the period 1975-1999, the number of fatalities per year ranges from 0 to 5 with the most common number of fatalities being 0. During this period, most years have 0 or 1 fatality and only a few years have more than 1 fatality. This could be due to higher construction standards, better warning systems, or medical advancements. D. In both periods, the number of fatalities per year ranges from 0 to 5. During the period 1950-1974, the most common number of fatalities was 3. The distribution for this period is roughly symmetric - the number of years having more than 3 fatalities is roughly the same as the numbers of years having fewer than 3 fatalities. During the period 1975-1999, the most common number of fatalities is 0 and most years have 0 or 1 fatality. Only a few years have more than 1 fatality during this period. This could be due to higher construction standards, better warning systems, or medical advancements.

Mathematics

Find the specified domain.For f(x) = x2 - 4 and g(x) = 2x + 3, what is the domain of f - g?

A. (-2, 2) B. [2, ?) C. (-?, ?) D. [0, ?)

Mathematics

Multiply or divide and simplify your answer.42 ÷ 1

A. 33
B. 35
C. 36
D. 34

Mathematics

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.f(x) = x2 - 6

A. maximum; 0 B. minimum; -6 C. minimum; 0 D. maximum; -6

Mathematics