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MATH 16A WORKSHEET 12-
(1) The mass of a sample of radioactive material is described by the function f(t), which satisfies the differential equation
F'(t) = (ln 6)f(t)
and satisfies f(1) = 24. Find the formula for f(t). What is f(0)? At what time is f(t) = 144?
(2) Let f and g be two differentiable functions. Find an anti-derivative (in terms of f and g) for each of the following expressions.
(a) f'(x)g(x) + f(x)g'(x)
(b) f'(g(x)) · g'(x)
(c) ef(x)f'(x)
(d) f'(t)/f(t)
(e) 2g(x)g'(x)
(f) x4
(g) (1/x) + x + e3x
(3) Find all functions f(t) such that f'(t) = (-1/x2) + x2 and f(1) = 0.
tom and barb hace only nickels and dimes.barb has 75 cents and tom has 90 cents. both have the same number of coins and tom has the same number of dimes as barb has nickels. how many nickels does barb have?
Write an equation describing the relationship between the two variables
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Real time application of perimeter of a circle. To evaluate the distance travelled using the number of rotations.
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If q is the number of quarts of lemonade , then (1/4) q can be used to find the number of cups of lemonade mix needed to make the lemonade. How much mix is needed to make each amount of lemonade.
What is the PCJ's break-even EBIT at which EPS is the same with or without debt financing?
A garden table and a bench cost $1000 combined. The cost of the garden table is three times the cost of the bench. What is the cost of the bench?
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