Use the zeros of Tj and transformations ofthe given interval to construct an interpolating polynomial of degree 2 for the following functions. a. /(*)=-, [1,31 b - fix) = e-x , [0,21 c. /O) = - cosx + - sin2x. [0,1] d. f(x)=x\nx, [1,3]
L5 - 11 6. A tank continuously drains so that the volume V of water (in gallons) after t minutes is given by ▯ t▯ 2 V (t)=100 1 − . 20 (a) What is the domain of V (t)ytecnxtfhepoemW htshe range (b) What is implied about the physical nature of the problem that ensures V (tioeonFidheiseni. (c) What is V −1(25) Interpret its meaning in the given context.