Complete the statement using the indicated property.0.25( ___ ) = 1, multiplicative inverse
A. 16
B. 25
C. -4
D. 4
Answer: D
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Find an upper bound for the magnitude |E| of the error in the approximation f(x, y) ? L(x, y) at the given point over the given region R.
at (1, 1, 1); R: |x - 1| ? 0.1, |y - 1| ? 0.1, |z - 1| ? 0.1
A. |E| ? 0.0165 B. |E| ? 0.0248 C. |E| ? 0.0198 D. |E| ? 0.0186
Solve the problem.A population grows according to the logistic growth model, with growth parameter r = 1.6 and initial population given by p0 = 0.5. What does the logistic growth model predict in the long term for this population?
A. The population settles into a four-period cycle with the following approximate percentages of the habitat's carrying capacity: 50%, 37.9%, 38.4%, 37.5%. B. unlimited growth C. The population settles into a two-period cycle alternating between a high-population period at 50% and a low-population period at 37.5% of the habitat's carrying capacity. D. extinction E. It stabilizes at 37.5% of the habitat's carrying capacity.
Solve.
= 
A. - 
B. No solution
C. 
D. 
Solve and, when appropriate, round the answer to the nearest tenth.The length L that a spring is stretched from its natural length using W amount of work (in foot-pounds) is given by L = 
, where k is a given constant for the spring. If a certain spring has a constant value k of 47.4 and the spring is to be stretched 1.6 feet from its natural length, how much work will be necessary?
A. 30 foot-pounds B. 37.9 foot-pounds C. 60.7 foot-pounds D. 121.3 foot-pounds