Después de una inundación, el departamento de bomberos de una ciudad utiliza tres bombas para drenar agua de los sótanos inundados. Las tres bombas pueden drenar toda el agua de un sótano inundado en 6horas, 5 horas y 4 horas respectivamente. Si las encienden simultáneamente ¿en cuánto tiempo logran vaciar el sótano?

To find the extreme values of a function f(x. y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x, y)=xy

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

What is the absolute value of the complex number -4-sqrt2i