Pick 1 and do it l Boost LTE8:07 AM1 0 97%moodle.mcneese.eduMath 292 – Test 3Name:Directions: YOU MUST SHOW ALL WORK TO RECEIVE CREDIT.Giving a calculator answer with no additional work does not count as showing your work.This test is open book and open notebook. All work must be completed on your own.Discussing any portion of this test with another person is considered cheating on this test.Sign on the line below to certify that you did not discuss this test with anyone and will not discuss the testor share information about the test with anyone else on the test date, 12/2/2020.Name:Signature:Note: If you are working on your own paper you are expected to include the above statement andrequired signature on your paper at the start of the test.Test Problems:1. Give an equation of the tangent plane to the surface z= In(4y – x) at the point (3,1,0).8z2. Use the Chain Rule to find đu for z = (3x + cos 3y)5 with x = 1+ 3u and y = e2tu3. a) Find the directional derivative of f(x, y) = Jxyz at the point (3, 2, 6) in the direction ofv = <-1,-2,2 >.b) Give the maximum rate of change of f(x, y) = Jxyz at the point (3, 2, 6). In what direction doesthis maximum occur?4. a) Find all critical points of the function f(x, y) = e'(y² –x³)b) Use the second derivatives test to determine if the function has a local maximum, local minimum,or saddle point at each of these critical points.5. Calculate the iterated integral: "y sin(xy)dxdy .6. Calculate the volume of the solid that lies under the hyperbolic paraboloid x -3y +z=2 and abovethe rectangle [-1,1]×[1,2].Evaluate (f 2xydA where D is the triangular region with0, 0), (1, 2), and (0, 3).8. Sketch the region of integration and then give an equivalent double integral with the order ofintegration reversed. CIS(x,y)dydx .9. Evaluate the integral || e* dA where D is the region to the left of the y-axis that lies between thecircles x + v? =1 and x+ v² =4.10. Find the mass of a lamina that occupies the region bounded by 1- y and y = 0 if the lamina hasdensity function P(x,y) = kx for some nonzero constant k.

Name: Pick 1 and do it l Boost LTE8:07 AM1 0 97%moodle.mcneese.eduMath 292 –
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Description: Pick 1 and do it l Boost LTE8:07 AM1 0 97%moodle.mcneese.eduMath 292 – Test 3Name:Directions: YOU MUST SHOW ALL WORK TO RECEIVE CREDIT.Giving a calculator answer with no additional work does not count as showing your work.This test is open book and o