MAT133Y1 Lecture Notes - Lecture 12: Ellipse, Quadratic Function

• School: UTSG
• Department: Mathematics
• Course: MAT133Y1
• Professor: Abe Igelfeld

Document Summary

Supplementary questions for hp chapter 12: find, find d9 dx9 (x8 ln x). d dx. [ln(ln(ln(ln x)))]: find d dx (x(aa) + a(xa) + a(ax)) where a is a constant. (a) let f (x) be a function such that f (x + z) = f (x)f (z) for all x and z, and. Prove that f (x) = f (x), using the de nition of f (x). (b) suppose you know limh 0 eh. K such that f (x) = kecx for all x. The price the painting will fetch changes with time, given by the function p (t). Show that the point elasticity of demand n is constant. (b) given two demand functions q1(p) and q2(p), show that p d(q1q2) q1q2 dp p q2 dq2 dp p q1 dq1 dp. Assuming that x > 0, let n be any real number.