M Invitation: Yasna Abtal X Post Attendee - Zoom X BBC MATH 100A ALL 2022 X WeBWork : 2022W1_1 X WeBWork : 2022W1_1 X 2022W1_MATH_100A x M Sent Mail - y.abtahian x + V X C a webwork.elearning.ubc.ca/webwork2/2022W1_MATH_100A_ALL_2022W1/Webwork-Assignment-6/19/?effectiveUser=OXGYM7W4F603 Previous Problem Problem List Next Problem Webwork-Assignment-6: Problem 19 (1 point) Consider the growth of a cell, assumed spherical in shape. Suppose that the radius of the cell increases at a constant rate per unit time. (Call the constant k.) (a) At what rate does the volume, V, increase ? dv dt (b) At what rate does the surface area, S, increase ? ds dt (c) At what rate does the ratio of surface area to volume S/ V change? # ( y ) = Does the ratio S/ V decrease or increase as the cell grows? ? [Remark: express your answers in terms of the radius of the cell r and its growth rate k.] Note: You can earn partial credit on this problem. Preview My Answers Submit Answers 8 . C C Mostly sunny Ed [x EM ENG 1:01 PM US 2022-10-23 2