Solve.If the population of a certain country doubles in 9.37 years, find the growth rate k. Assume that the population increases exponentially.
A. 5.7%
B. 3.1%
C. 8.2%
D. 7.4%
Answer: D
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Provide an appropriate response.Given that we know the Fundamental Theorem of Calculus, why would we want to develop numerical methods for definite integrals?i) Antiderivatives are not always expressible in closed form.ii)Numerical methods are a good excuse to use our graphics calculator.iii) The function f(x) may not be continuous on [a,b].
A. Both i and iii are correct. B. Only ii is correct. C. Only iii is correct. D. Only i is correct.
Provide an appropriate response.Gary King is putting in a chain link fence around his backyard. It will extend 10 feet on either side of his house, down the side yard and across the back. How much fencing should he buy?
Fill in the blank(s) with the appropriate word(s).
Factor completely.4x5 + 16x4 - 180x3
A. 43(x2 + 4x - 45) B. x3(x + 9)(4x - 20) C. 4x3(x + 9)(x - 5) D. x3(4x + 36)(x - 5)
Find the vertices of the ellipse.36(x + 2)2 + 16(y - 1)2 = 576
A. (-1, 7), (-1, -5)
B. (2, 7), (2, -5)
C. (-2, 1 - 2
), (-2, 1 + 2
)
D. (-2, 7), (-2, -5)