Calculus question

1 magoonumber1 IsStuff/onlineform_2.php?assign=17 R Tem #14: Find an integral which represents the volume of the solid obtained by rotating the region enclosed by the curves Update y = x and y = 4x + 77 about the x-axis. (A) [ TEXA - (4x + 721dx (B) [, alt - (4x + 7)1 dx (C) [ (4x + 71- 87) dx (D) [ 1(2 - 4x - 77)2 dx (E) [ [ ( 4x + 77)2 - x4 ] dox (F ) ( 5( x2 -4x - 77)2 dox (G) [ x( 4x + 77 -x2)2 dox ( H) [ [(4x + 77)2 - x 4 ] dx Problem #14: Select v Save blem #15: After implementing measures to prevent outbreaks, a population of Lymantria dispar moths can be modeled by ks] the following discrete-time dynamical system. 6mt mi+1 - 2+. 01m mo = 2638 (a) Find the value of m1. Round your answer to 3 decimal places. (b) Find the non-zero equilibrium of this system. (c) Which statement best describes the stability of this equilibrium ? (d) What is the per capita production of this system? Problem #15(a): Problem #15(b): (A) The equilibrium is stable because the derivative of the updating function has absolute value less than 1 (B) The equilibrium is unstable (C) The equilibrium is stable because the population is greater than 1 (D) The equilibrium is stable because the updating function is increasing om this course