Questions from General Calculus


Q: Use logarithmic differentiation to differentiate the following functions. f (

Use logarithmic differentiation to differentiate the following functions. f (x) = xx

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Q: Use logarithmic differentiation to differentiate the following functions. f (

Use logarithmic differentiation to differentiate the following functions. f (x) = x√x

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Q: Substantial empirical data show that, if x and y measure the

Substantial empirical data show that, if x and y measure the sizes of two organs of a particular animal, then x and y are related by an allometric equation of the form ln y - k ln x = ln c, where k an...

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Q: In the study of epidemics, we find the equation ln(

In the study of epidemics, we find the equation ln(1 - y) - ln y = C - rt, where y is the fraction of the population that has a specific disease at time t. Solve the equation for y in terms of t and t...

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Q: Differentiate the function using one or more of the differentiation rules discussed

Differentiate the function using one or more of the differentiation rules discussed thus far. y = 5x3(2 - x)4

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Q: Determine the values of h and k for which the graph of

Determine the values of h and k for which the graph of y = hekx passes through the points (1, 6) and (4, 48).

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Q: Find values of k and r for which the graph of y

Find values of k and r for which the graph of y = kxr passes through the points (2, 3) and (4, 15).

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Q: Simplify the following expressions. ln 5 + ln x

Simplify the following expressions. ln 5 + ln x

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Q: Simplify the following expressions. ln x5 - ln x3

Simplify the following expressions. ln x5 - ln x3

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Q: Differentiate the functions. y = x√x

Differentiate the functions. y = x√x

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