The expression for Hui's MRS (= Ux/Uy) is given by MRS = 4.5y/(x+1). What is the value of the derivative dMRS/dx at the point were x=2 and y=1.1?
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- (1) A course repeater claims that his brother who did some Calculus at college years ago, but currently on some cough medication, believes that the first derivative of (2x² – 1)(x² + 3) [(2x? – 1)(x² + 3) 2х + |2x2 -1 х2 +3 4x 2x | f(x) -is f'(x) x? + 1 x2 + 1] x2 + 1 and (x² + 8)7 14х (x2 + 8)7 30х + 2 – 3x2] |(2 – 3x²)5 that the first derivative of g(x) is g'(x) = (2 — Зx?)5 lx² + 8 ' Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you confirm whether his brother is right, wrong or a little tipsy.Solve and Select the right answer: In x 1- (10 points] Find the derivative dy/dx if y= 1 (A) 2x2 1. 2n x (C) + 1 (D) 2In x (B) X' 2- (10 points] Find the derivative dy/dx if y=35* +(5x )' (A) y=35* +375 x² (B) y=3*. 5 ln 3+375x? (C) y=3°*, In 3+375x? (D) y=3*. 5ln 3+ x?DERIVATIVE In the following the symbol for the first derivative is dy/dx or Y’ and the symbol for the second derivative is d2y/dx2 or Y”, all of which are standard symbols. Y = X3 -2X2 +1 X -.333 0 .333 .667 1 1.333 1.667 Y dy/dx d2y/dx2 A function is given above. The table gives several pre-selected values of the independent variable (X). Use all of these to have enough to answer questions for this assignment. Calculate the Y value corresponding to each X value in the table. Write the Y value and its sign (+ or -) calculated in the cell below its X value. Pick any three of the X values and on a separate worksheet, show how you calculated its Y value. Use these X,Y pairs also if you chose to do the bonus option. Find the critical values among the given X values…
- Please find the attached calculation questionIn the above figure, the line represented by the "2" is theCalculate 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…
- Calculate the value of APC when the value of APS is given as 0.55Calculate 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 $1, increases their price to $2. 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 0.5 %, 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 150 to 50. The absolute value of this percentage change is %, and the absolute value of the percentage change calculated using…Assume that quantities do not need to be integers. That is, it is feasible for Andreas to knit 37.5 mittens. You have two employees, Meb and Des, each of whom works for 10 hours a day. Meb can knit 5.2 mittens in an hour. Meb can knit 2 scarves in an hour. Des can knit 1.2 mittens in an hour. Des can knit 1 scarf in an hour. If they are efficiently knitting 18 scarves a day, what is the opportunity cost, in terms of mittens per day, of producing an extra scarf each day. Enter a number (and only a number, no units) rounded to two decimal places. If your answer is 1.275, enter 1.28. 2.6
- Use a graphing calculator to graph a break-even chart. Choose the correct answer below. OA OB E Crno Q Q G C (All graphs have a viewing window such that q ranges from 0 to 15 with a scale of 1 and y ranges from 0 to 70 with a scale of 7.) The break-even quantity (in thousands) is q -0. (Round to one decimal place as needed. Use a comma to separate answers as needed.). D. SUConsider the following Cobb-Douglas production function.Q=10 K1/2L1/2a. Find the first, second, and cross partial derivatives.b. Determine their signs.c. What is the economic interpretation of the signs of these derivatives?Consider the following Cobb-Douglas production function. Q=10 K1/2L1/2a. Find the first, second, and cross partial derivatives. b. Determine their signs.c. What is the economic interpretation of the signs of these derivatives?