A large weather balloon is being inflated at a rate that is inversely proportional to its volume.
(a) (b) Using the variables V mº for the volume of the balloon and t seconds for the time
since inflation began, write down a differential equation to describe the
relationship between V and t as the weather balloon is inflated.
(ii) The rate of inflation of the balloon is 5 ms-' when its volume is 48 m
Use this information to find the constant of proportionality.​

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

Simplify. (-2)^-3 a. -8 b. -1/8 c. 1/8 d. 8

Afarmer has a large field that is x feet in length. he wants to fence in a rectangular section in the middle of the field , leaving a length of 100 feet of open field behind each end of the fenced rectangle.he also wants the width of the fenced-in space to be 100 feet less than its length. find the expressions to represent the length and width of the fenced section of the field