1 Assignment 2 [20]

Instructions:

Please answer the questions carefully, and clearly write your student number and name.

When uploading your assignment, upload the document as a pdf.

When saving your document, please save the file with your students number then name (such as ”201912345-JohnPaul.pdf”).

Note that the deadline to submit the assignment is 08:00 on Friday 29 May 2020.

Question 1 [4]

Use Lagrange multipliers to find the point (a,b) on the graph of y = e6x, where the value of ab is as small as possible.

Question 2 [4]

Let f(x,y) = x2ex2 and let R be the triangle bounded by the lines x = 4, x = y/2, and y = x in the xy-plane. Express RR f dA as a double integral in two different ways (dxdy and dy dx), then evaluate one of your integrals to find the value of RR f dA.

Question 3 [2]

Convert the integral

to polar coordinates.

Question 4 [4]

Find the volume of the solid in R3 bounded by y = x2, x = y2, z = x + y + 24 and z = 0.

(Show calculations)

Question 5 [3]

Set up the integral RRRW f(x,y,z)dV for the function f(x,y,z) = z and region x2 + y2 = z = 49 in cylindrical coordinates.

Question 6 [3]

Convert the integral

to spherical coordinates.

1

Instructions:

Please answer the questions carefully, and clearly write your student number and name.

When uploading your assignment, upload the document as a pdf.

When saving your document, please save the file with your students number then name (such as ”201912345-JohnPaul.pdf”).

Note that the deadline to submit the assignment is 08:00 on Friday 29 May 2020.

Question 1 [4]

Use Lagrange multipliers to find the point (a,b) on the graph of y = e6x, where the value of ab is as small as possible.

Question 2 [4]

Let f(x,y) = x2ex2 and let R be the triangle bounded by the lines x = 4, x = y/2, and y = x in the xy-plane. Express RR f dA as a double integral in two different ways (dxdy and dy dx), then evaluate one of your integrals to find the value of RR f dA.

Question 3 [2]

Convert the integral

to polar coordinates.

Question 4 [4]

Find the volume of the solid in R3 bounded by y = x2, x = y2, z = x + y + 24 and z = 0.

(Show calculations)

Question 5 [3]

Set up the integral RRRW f(x,y,z)dV for the function f(x,y,z) = z and region x2 + y2 = z = 49 in cylindrical coordinates.

Question 6 [3]

Convert the integral

to spherical coordinates.

1

Prepare 15 minute presentation of your assigned topic.Provide outline,Provide 4 reference one must be text book.( attached – Also attached page content must be used in presentation as appropriate).Power...Students are required to Discuss safety hazards for the scenario below. When managing a construction site, we need to control the hazards associated with the work undertaken. Write a report on the following...ASSESSMENT BRIEFSubject Code and Name STAT6003 : Statistics for Financial DecisionsAssessment Assessment 2: PresentationIndividual/Group IndividualLength Max 10 slides/ 5 mins presentation to the classLearning...Written AssignmentBusiness Management Skills(DIPMB3_AS_v3)Student identification (student to complete)Please complete the fields shaded grey.Student numberWritten Assignment result (assessor to complete)Result...Ground and Water Studies 2 Tutorial 1Question 1i) Explain the purpose of “Mohr’s stress circles”. Sketch a Mohr’s stress circle diagram for the situation where a triaxial compression test on a cylindrical...Assessment DetailsQualification Code/Title FNS60215- Advanced Diploma of AccountingAssessment Type Assessment -2 Time allowedDue Date Location AHIC Term / YearUnit of CompetencyNational Code/Title FNSINC602-Interpret...Assignment 1 (Assessment 2)Due No Due Date Points 50 Submitting a file uploadAssessment 2: Critical analysis of research papers, 3000 words (50%), due at week 12, 4th JulyThis assessment task provides...**Show All Questions**