Question

Need help with e, f, g, and h

mer nt eumor cells can be modelexd by the Gomperta funetion Ca) motation vo.lmae, t co eprmentel uine (a) For OStc 20, carefully aketch the graph of V(e) Clearly label the scales on each axis including units. Let your t axis exxtend to t-35 days (this is for part (b) Determine the following limit using limit laws (do not use graphs or tablem). lim V(e) Clearly show every step (each limit law that is used). Explain the biological ignificance of this limit. Use complete sentences and correct spelling/ grammar c) Use the function and calculus to determine the rate at which the volume changing at the end of 10 days. Use correct units in your answer. 00O (d) Suppose a mouse is treated at the end of 20 days and 60% of the cancer cells Estimate the volume of the tumor immediately after the treatment. Assume the cells die instantaneously at treatment. Round your answer to the nearest hundredth. (e) Suppose after the treatment the tumor cells continue to die off and the volume of the tumor cells can be modeled by the exponential function V(t) where a is a constant. Use part (d) to determine the value of a. ae-0.25(t-20) (f) Now include the function in part (e) in your graph from part (a). That is, for 20 st s 35 graph the function in part (e) on the same graph as in part (a). Discuss (briefly) the continuity of V(t) on the interval 0 St s35. Begin your discussion by stating what it means for V(t) to be continuous (use the limit def inition) at a point to. Explain the biological significance of any discontinuities. Use complete sentences and correct spelling/grammar (8) Determine the time at which the volume of cancer cells reach 1 em2 and the your rate of change of the volume at this time. Use correct units and round answers to the nearest hundredth. (h) Draw a rough sketch of the derivative function for V(t) on the intervalosts 35 and describe the rate at which the cancer cells are changing as time increases. Use complete sentences and correct spelling/grammar

Answer 1

Please find the attached solution

-O. 3566 , o. 356 x20 3 99676 212e 多 65,3 cm 4 26 cm 0 2s (t-20 at ヤ201, v(*)- 26 ラ4e025 26- うメー26

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v'(t) ost <20 1.7088 e This is aluwoys Poiue So, Slope >0. Ov -02 (t-20) t) 0 07S2 20 35.