Find the number of pairs $(a, b)$ of integers such that
\[\frac{a + 2}{a + 5} = \frac{b}{3}.\]

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

What’s 8y+48 and factor each expression completely

Identify the initial amount a and the growth factor b in the exponential function. a(x)=680*4.3^x