Question: Question 2[25 marks]a. Determine the first partial derivatives fx,fy,f and fyy for:f(x,y)=sin(3x)-y4e6x+3yx2Then verify that the conclusion, that is fxy=fyx.[10 marks]b. A closed rectangular box is

Question 2[25 marks]a. Determine the first partial derivatives fx,fy,f and fyy for:f(x,y)=sin(3x)-y4e6x+3yx2Then verify that the conclusion, that is fxy=fyx.[10 marks]b. A closed rectangular box is to be built with the volume equal to xyzm3. The material for the bottom of the box cost RM 1 per m2 while the top and sides cost RM 8 per m2. Evaluate the dimensions (x,y and z ) of the box with minimum cost with total volume cost RM 38.[15 marks]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Question 2 ( 2 5 Marks ) a . Success Ltd . recently paid a dividend of $ 5 . 5 0 per share on its common stock. The dividend is expected to grow at a constant rate of 3 % per year. The required rate...

Question 4 [ 2 0 marks ] a ) Determine the rate of flow of water through a pipe of 2 5 0 mm diameter placed in an inclinedposition where a venturimeter is inserted, having a throat diameter of 1 5 0...

\ table [ [ Parameter , N - S Approaches,E - W Approaches ] , [ Number of 1 2 ft lanes on each approach, 3 , 2 ] , [ Design speed, m i h , 5 0 , 4 0 ] , [ Median width, ft , 1 6 , 1 2 ] , [ Grade ( %...

QUESTION 2 [ 2 5 MARKS ] Determine the factored compressive resistance, C r , of a 5 m long strut manufactured from a 1 5 0 1 5 0 1 0 equal leg angle ( with yield strength f y = 3 5 0 MPa ) . The...

QUESTION 2 [ 2 5 MARKS ] Determine the factored compressive reciutance, C r , of a 5 m long strut manafactured from a 1 5 0 1 5 0 1 0 equal leg angle ( with yield strength f , = 3 5 0 MPa ) . The...

The Practice of human resource management has evolved over the years till its current stage. Mention and explain briefly any three ( 3 ) factors that are influencing and shaping the practice of HRM ....

Florida Institute of Technology Instructions: Read the questions very carefully because the requirements for each are specific. Each group should turn in one copy of this WORD document (email to me)...

Which of the following statements is correct? Two of the answer choices are correct. If the constant growth rate of a stock is more than the required rate of return, the constant growth dividend...

Flag question: Question 1 Question 12 pts If there is a decrease in ending inventory from one month to the next then: Group of answer choices Production > Sales Absorption Costing Profit > Variable...

Tesla s Entry into the U . S . Auto Industry Donald Sull and Cate ReavisTesla s Entry into the U . S . Auto Industry Donald Sull and Capany s latest electric car, the Model 3 , in front of an...

The annual risk-free rate of return is 2% and the investor believes that the market will rise annually at 7%. If a stock has a beta coefficient of 1.5 and its current dividend is $1, what should be...

Goal: Create an Excel spreadsheet to compute budgeted factory overhead rates and apply factory overhead to production. Use the results to answer questions about your findings. Scenario: Kevin...

solve Question 1 0.25 pts Calculate the effective nuclear charge of S and Cl using the simple formula Zeff = Z-S. Do not use Slater's Rules. O Zeff (S) = -2; Zeff (CI) = -1 O Zeff (5) = +4; Zeff (CI)...

Monsoon Inc. is considering bidding on a government project. To do the project, the company must make an initial investment of $9 million to purchase the necessary equipment. The project will last...