Solve the problem.The resistance R produced by wiring resistors of R1  and R2  ohms in parallel can be calculated from the formula If R1  and R2  are measured to be 6 ohms and 5 ohms respectively and if these measurements are accurate to within 0.05 ohms, estimate the maximum possible error in computing R.

A. 0.020
B. 0.015
C. 0.030
D. 0.025


Answer: D

Mathematics

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Solve the problem.dy/dt = ky + f(t) is a population model where y is the population at time t and f(t) is some function to describe the net effect on the population. Assume k = .02 and  when t = 0. Solve the differential equation of y when f(t) = -19t.

A. y = 950t + 47,500 - 37,500e.02t B. y = -950t - 47,500 - 37,500e.02t C. y = 950t + 47,500 - 37,500e-.02t D. y = -950t + 47,500 - 37,500e-.02t

Mathematics

Find the general solution of the equation. Express the solution explicitly as a function of the independent variable.u'(x) = e7x-3u

A. u =  ln
B. u =  ln + C
C. u = 3 ln + C
D. u = 3 ln

Mathematics

Provide an appropriate response.Prove that if v and u are differentiable functions of t, then 

What will be an ideal response?

Mathematics

Solve the problem.The population of a small town is given by the table.If the population is modeled by p(t) = at2 + b where t is in years and  corresponds to the year 1960 and  corresponds the year 1970, find a.

A. 10 B. 20 C. 24 D. 12

Mathematics