One or more initial conditions are given for the differential equation. Use the qualitative theory of autonomous differential equations to sketch the graphs of the corresponding solution. Include a yz-graph as well as a ty-graph..  Do these graphs represent the situation? Enter just "yes" or "no".

Fill in the blank(s) with the appropriate word(s).


"yes"

Mathematics

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Solve the system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to express the solution set.

A. {(-1, -5)} B. {(-2, -5)} C. no solution; ? D. {(-1, -6)}

Mathematics

Give an appropriate answer.Letf(x) = 243. Find.

A. 243 B. 8 C. 5 D. 3

Mathematics

Solve the problem that involves probabilities with independent events.In one town, 25% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. Round to the nearest thousandth.

A. 0.250 B. 0.060 C. 0.063 D. 0.500

Mathematics

Provide an appropriate response.Calculating the depreciation of an asset is an exact science that requires no estimations.

A. True B. False

Mathematics