Exam 3: Shortcuts to Differentiation
Exam 1: Functions and Change204 Questions
Exam 2: Rate of Change: the Derivative132 Questions
Exam 3: Shortcuts to Differentiation178 Questions
Exam 4: Using the Derivative94 Questions
Exam 5: Accumulated Change: the Definite Integral93 Questions
Exam 6: Antiderivatives and Applications122 Questions
Exam 7: Probability68 Questions
Exam 8: Functions of Several Variables134 Questions
Exam 9: Mathematical Modeling Using Differential Equations121 Questions
Exam 10: Geometric Series65 Questions
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The cost to produce q aircraft in South Africa is given by the function
, with C in millions of rands. At a production level of 60 aircraft, how many million rands will it cost to produce one more aircraft? Round to 2 decimal places.

(Short Answer)
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The number of hours, H, of daylight in Madrid as a function of the date is given by the formula
, where t is the number of days since the beginning of the year. What is
? Round to 3 decimal places.


(Short Answer)
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The height off the ground of a person riding a Ferris wheel is represented by the function
. On which interval(s) is
increasing?


(Multiple Choice)
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The concentration, in
, of a drug introduced gradually into the body can be modeled by
. What is the rate of change in the concentration at t = 120?


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A tomato is thrown from the top of a tomato cart its distance from the ground, in feet, is modeled by the equation
where t is measured in seconds and the initial height of the cart is
feet.
(A) At what time is the tomato at its maximum height?
(B) What is the maximum height?
(C) What is the initial velocity of the tomato (at t = 0)?


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