Question 4 12. What is the smallest possible value of z +y. Let z and y...

    

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Question 4 12. What is the smallest possible value of z +y. Let z and y be such that z, y0 and r+y= Not yet answered Marked out of 7.00 P Flag question Either go right for it and try to figure it out, or follow along in the parts below. (a) (1 point) Since +y= 12, show y= 12 -e. (b) (1 point) Rewrite z + y with your new value of y found above. (c) (1 point) You should now have an expression, only in r's for r + y?. You want to minimize this expression. A minimum will occur at one of three places: where f'(z) = 0, at the left end of the interval or at the right end of the interval. You know that >0 (given in the question). so that gives our left end of the interval. Explain why r < 12 given the constraints in the question (i.e. what happens to y if z > 127) (d) (3 points) Now, look for the minimum with the expression only in z's that you found. Don't forget to check the endpoints of the interval you found! (e) (1 point) You need a concluding statement to get full marks! Question 4 12. What is the smallest possible value of z +y. Let z and y be such that z, y0 and r+y= Not yet answered Marked out of 7.00 P Flag question Either go right for it and try to figure it out, or follow along in the parts below. (a) (1 point) Since +y= 12, show y= 12 -e. (b) (1 point) Rewrite z + y with your new value of y found above. (c) (1 point) You should now have an expression, only in r's for r + y?. You want to minimize this expression. A minimum will occur at one of three places: where f'(z) = 0, at the left end of the interval or at the right end of the interval. You know that >0 (given in the question). so that gives our left end of the interval. Explain why r < 12 given the constraints in the question (i.e. what happens to y if z > 127) (d) (3 points) Now, look for the minimum with the expression only in z's that you found. Don't forget to check the endpoints of the interval you found! (e) (1 point) You need a concluding statement to get full marks!