Q: 4-4 marks. For some constant k, find (a) exy + ln(y) = kx. (b) ln(xy) = ekx dy dx Q: 3-5 marks. (a) For some constants a, b, c and k, find the 154th derivative of the function yea+cos(bx) + sin(cx) + kx153 (b) Without using a calculator, find an approximate for 1 4.02+ 4.02 Use embedded fonts in pdf files (in cases where pages do not render properly) Q: 1-5 marks. For some constants a, b and c, do the following: (a) Use the quotient rule to differentiate the function f(x) = 1 -3 = ax - b CX3 (b) Rewrite the function in part (a) as f(x) = =x (ax - b) and differentiate by using the product rule. a (c) Rewrite the function in part (a) as f(x) -2 = -X b -x 3 and differentiate using the power rule. (d) Show that the answers to parts (a), (b) and (c) are all the same. 6:28 PM Tue Feb 14 prod19.assign2.uofa.edufide.com 6% Assessment: Written Assignment 5 (Uploads) e Andrew Beaith Drag & drop files here or click to upload (pdf, jpg and png files are supported. Max file size is 10mb) Q: 2-6 marks. Suppose the daily cost function for fridges produced at Friga's Frigid Fridges is represented by the following x3 C(x) = 2,000 x2 50 +50x20,000 (a) Find the differential of the daily cost and use it to approximate the cost change if the current production is at 500 units and 5 more units are produced. (b) Find the actual cost difference function and use that to calculate the cost for the 501st unit. (c) What is the marginal cost when x = 500, and interpret your results.