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- u (x1, x2) = x1x2 What is the value of MRS(4, 20)? (Don't forget to include a minus sign in your answer)Please calculate the following with all steps:(b) Which of the following could be graphs of the function? Choose all that apply. O population years 20 40 60 80 100 120 since 1900 O population I years since 1900 20 40 60 80 100 120 O population i years 20 40 60 80 100 120 since 1900 O population years 20 40 60 80 100 120 since 1900
- 1 1 a) Let A = 1 -1 -1 1 (i) Compute the value of det (A). (ii) For what values of x will the matrix be singular? b) Write down the quadratic form that corresponds to the following matrix. 2 4 2 -1 -3 .4 -3 1Calculate the percentage change of the variable in each of the following cases. Then calculate the percentage change if the movement is occurring in the opposite direction, with what was the final value now the initial value and vice versa. Now calculate a comparable percentage change using the average of the initial and ending values. Express all three changes in absolute value form without positive or negative signs and as whole numbers (i.e. 67%, not 66.6%). a. A fast-food restaurant, which originally sold hamburgers at a price of $5, increases their price to $6. The absolute value of this percentage change is %, and the absolute value of the percentage change calculated using the average of the two values is %, the absolute value of the percentage change in the opposite direction is %. b. The number of autos sold monthly at a car dealership drops from 400 to 300. The absolute value of this percentage change is %, the absolute value of the percentage change in the opposite direction…(Ch7) If the mean time between in-flight aircraft engine shutdowns is 12,500 operating hours, what is the 90 percentile on the distribution of the number of hours until the next shutdown? (hint: convert the mean time between events to the mean events per hour λ, then apply inverse exponential) Question 7Select one: a. 20,180 hours b. 18,724 hours c. 23,733 hours d. 28,782 hours