Find the area under the curve over the indicated interval.
y = 5 / x ; [1, 10]
36
Mathematics
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Determine if the given function y = f(x) is a solution of the accompanying differential equation.Differential equation: y' = e- 4x - 4yInitial condition: y(- 4) = 0Solution candidate: y = (x + 4)e- 4x
A. Yes B. No
Mathematics
Decide if the number is rational or irrational.0.45454545...
A. Rational B. Irrational
Mathematics
Solve the problem.What can you say about the inflection points of the quartic curve Give reasons for your answer.
What will be an ideal response?
Mathematics
Factor out the greatest common factor.x8y5 - x8y4 + x6y2 - x5y2
A. x5y2(x2y3 - x2y2 + xy - 1) B. x4y2(x3y3 + x3y2 + x + 1) C. x5y2(x3y3 - x2y2 + x - 1) D. x5y2(x3y3 - x3y2 + x - 1)
Mathematics