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OTHER APPLICATION
Rate of Change of Revenue The rate of change of revenue (in dollars per calculator) from the sale of x calculators is
Find the total revenue from the sale of the first 12 calculators.
(Hint: In this exercise, it simplifies matters to write an antiderivative of
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Calculus For The Life Sciences
- The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?arrow_forwardThe population Pinmillions of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?arrow_forwardRepeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.arrow_forward
- Let f(x)=x2−5 and g(x)=4−x. Perform the composition or operation indicated. (1/g) (2) = Question content area bottom Part 1 fg(2)=enter your response here (Simplify your answer. Type an integer or a fraction.)arrow_forwardComplete the table below by finding the product of each x-value times its corresponding y-value. For example, if x1 = 5 and y1 = 10, then x1y1 = (5)(10) = 50. Write these in the last column and calculate the sum of these xy values in the bottom row. Temperature (°C) x Solubility (g/100mL) y x2 y2 xy 10 31 20 33 30 37 40 41 50 42 Sums: Next, you need to find the square of the sum of the x-values (∑x)2 and the square of the sum of the y-values (∑y)2. Note that these are different from the sums of the squared x-values (∑x2) and the sums of squared y-values (∑y2). If the x-values are 3, 5, 6 then the sum of the x-values is ∑x = 3+5+6 = 14, the square of the sum of the x-values is (∑x)2 = (14)2 = 196, and the sum of the squared values 9, 25, 36 is ∑x2 = 9+25+36 = 70. Calculate the square of the sum of the x-values and the…arrow_forwardfind f′(7)arrow_forward
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