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# 2) (20) pts ) Use partial derivatives to decide whether O not the vector field F(x,y) (6x?e"+xe2r +2xeY _ 3e ) conservative. (Show necessary calculations bef...

## Question

###### 2) (20) pts ) Use partial derivatives to decide whether O not the vector field F(x,y) (6x?e"+xe2r +2xeY _ 3e ) conservative. (Show necessary calculations before giving your conclusion:)

2) (20) pts ) Use partial derivatives to decide whether O not the vector field F(x,y) (6x?e"+xe2r +2xeY _ 3e ) conservative. (Show necessary calculations before giving your conclusion:)  #### Similar Solved Questions

##### 3 3 3 2 1 { ~[0 c|F 0lo 0l 4 0 8 9 6 + 8 C | &| 0 2 2
3 3 3 2 1 { ~[0 c|F 0lo 0l 4 0 8 9 6 + 8 C | &| 0 2 2...
##### Use the Laplace Transform to the find the solution of the ODE:y" + Sty' = 0,9(0) = 4, ! (0) = 0.
Use the Laplace Transform to the find the solution of the ODE: y" + Sty' = 0, 9(0) = 4, ! (0) = 0....
##### Suppose that 2 books are picked at random from a shelf containing 7 novels 5 books of poems, and a dictionary: (a) Find the probability that the dictionary is selected. (b) Find the probability that novel and book of poems are selected:
Suppose that 2 books are picked at random from a shelf containing 7 novels 5 books of poems, and a dictionary: (a) Find the probability that the dictionary is selected. (b) Find the probability that novel and book of poems are selected:...
##### 4.A lamp is located over the center of a circular table of diameter 4 [eet. Find the height h of the lamp such that k sin & the illumination at the perimeler of the table is maximum. The illumination is given by where k is constant (see pcture).
4.A lamp is located over the center of a circular table of diameter 4 [eet. Find the height h of the lamp such that k sin & the illumination at the perimeler of the table is maximum. The illumination is given by where k is constant (see pcture)....
##### (10 Faizts}. Prant ntualau Jlr) =#+7+4r Lit AiTur iueri [-3-1j. Ec sure natc AM (hcurcms YOu UEL _ aI ILAKL SUIT Wich that tcI Ilpothcss ATC Yaliyticd(Bzous Fclts) The highwaly pltru Iu T[ tuev Hc-ll MUrA IR' [lethe] cutch spetxlers CJum: Oc 4[ AF u #ith Mzec 6ug tuok IfurC toll booth MCXt Owlc IUtt truyc] 40 Wuile streebjetuI Houtls gn tieket for civing J0 wplt in & 70 mple Zie. Tlu divrr challengerl Maeu FnnI itsisly Uilo Jael TTT [email protected] Mpl Tlu" [wlire ollictT, #ls haul taken ca
(10 Faizts}. Prant ntualau Jlr) =#+7+4r Lit AiTur iueri [-3-1j. Ec sure natc AM (hcurcms YOu UEL _ aI ILAKL SUIT Wich that tcI Ilpothcss ATC Yaliyticd (Bzous Fclts) The highwaly pltru Iu T[ tuev Hc-ll MUrA IR' [lethe] cutch spetxlers CJum: Oc 4[ AF u #ith Mzec 6ug tuok IfurC toll booth MCXt Owl...
##### (6 pts) The alkene shown ways_ bolov Provide be prepared alkene Ihe two different sets using the Wittig olefination two different in one slp tor palhways Slarling materials Ihal could be used lo prepare this and B.pninwypalhwdlyNext; circle the better of the two pathways (A or B)
(6 pts) The alkene shown ways_ bolov Provide be prepared alkene Ihe two different sets using the Wittig olefination two different in one slp tor palhways Slarling materials Ihal could be used lo prepare this and B. pninwy palhwdly Next; circle the better of the two pathways (A or B)...
##### Use the Disk or Washer Method to find the volume of the solid generated by revolving the region bounded by the given lines and curves about the given axis of rotation: 17)y = VSx,y = 0,x = 5 about the V-axis18) y = 4-x2,x = O,y = 0about the X-axis19).y = x3 + 1 , y = 5about y = 6Use the Shell Method to find the volume of the solid generated by revolving the region bounded by the given lines and curves about the given axis of rotation. 20).* = Zy,y = 2,x = 0 about the X-axis 21).y =x2 +1,x = 0,x
Use the Disk or Washer Method to find the volume of the solid generated by revolving the region bounded by the given lines and curves about the given axis of rotation: 17)y = VSx,y = 0,x = 5 about the V-axis 18) y = 4-x2,x = O,y = 0 about the X-axis 19).y = x3 + 1 , y = 5 about y = 6 Use the Shell M...
##### (JiJi *('"5 . Find the matrix of an affine transformation that maps u[2, -3,1] to "'12,5,01, v[1,~2,0] to v[1,1,~6} and w[1,0,0]to w[3,2,-1} Prove the corollary of Theorem 3.3.
(JiJi *('" 5 . Find the matrix of an affine transformation that maps u[2, -3,1] to "'12,5,01, v[1,~2,0] to v[1,1,~6} and w[1,0,0]to w[3,2,-1} Prove the corollary of Theorem 3.3....
##### The poirt P(4 ,lies on the curve yIf Q is the point3-< firid the slope of the secarit lirie PQ (correct to six decirral places) for thie followinig values of x1.9 IpQ 4.444444(ii) 1.99 IpQ040404(iii) 1.999mpQ 4.004004(iv ) 3.9999mpQ0004004.1 IrpQ4.01(vii) 4.0C1mpQ(viii) 4.Oc0impQIpQ
The poirt P(4 , lies on the curve y If Q is the point 3-< firid the slope of the secarit lirie PQ (correct to six decirral places) for thie followinig values of x 1.9 IpQ 4.444444 (ii) 1.99 IpQ 040404 (iii) 1.999 mpQ 4.004004 (iv ) 3.9999 mpQ 000400 4.1 IrpQ 4.01 (vii) 4.0C1 mpQ (viii) 4.Oc0i mpQ...
##### (20 points) In the following output, some of the numbers have been accidently erased. Recompute them, using the numbers still available. There are n = 22 in the data set_The regression equation is Y = (a) +0.19XPredictorCoefSE CoefConstant0.430.690.190.07S=0.68R-sa=-31.0%
(20 points) In the following output, some of the numbers have been accidently erased. Recompute them, using the numbers still available. There are n = 22 in the data set_ The regression equation is Y = (a) +0.19X Predictor Coef SE Coef Constant 0.43 0.69 0.19 0.07 S=0.68 R-sa=-31.0%...
##### Given the following (T: degree use Eyring plot to estimate AH, AS, AG (at 25 degree C)Temperature k (1/s) 10 2.0815.74.5721.58.2427.515.833.228.438.546.145.793.5
Given the following (T: degree use Eyring plot to estimate AH, AS, AG (at 25 degree C) Temperature k (1/s) 10 2.08 15.7 4.57 21.5 8.24 27.5 15.8 33.2 28.4 38.5 46.1 45.7 93.5...
##### Problem 1 (10 points) Figure 1 shows a curve; L, called limacon [1, Ch. 10, $10.3, Fig: 19, p 706], oriented counterclockwise, with polar equationT =1+sin (0)(1.1) Calculate the circulation;$z F . ds, line integral, along C of the vector field F defined by F(z,y) = [P(z,y),Q(z,y)] = 2] f P.ds =(1.2) Calculate the circulation, $B . ds, Or line integral, along C of the vector field defined by~yB(z,y) = [P(c,y) , Q(s,y)] = 12 + y2 = '2+v ]'$ B. dsFigure 1: The limacon with polar equ
Problem 1 (10 points) Figure 1 shows a curve; L, called limacon [1, Ch. 10, $10.3, Fig: 19, p 706], oriented counterclockwise, with polar equation T =1+ sin (0) (1.1) Calculate the circulation;$z F . ds, line integral, along C of the vector field F defined by F(z,y) = [P(z,y),Q(z,y)] = 2] f P.ds...
##### A weight; mg, is supported by a rope attached to a rod of length L that can pivot at the base, as shown in the diagram below: a) On your worksheet; draw a free-body diagram showing all the forces on the rod. (Indicate the direction of each force and label each with a different symbol: You can neglect the weight of the rod: Also choose an axis about which you will calculate torques, and label the location of your axis with an X)
A weight; mg, is supported by a rope attached to a rod of length L that can pivot at the base, as shown in the diagram below: a) On your worksheet; draw a free-body diagram showing all the forces on the rod. (Indicate the direction of each force and label each with a different symbol: You can neglec...
##### Find: (a} M,(t)(6) E(X" )(c) E(Xizu
Find: (a} M,(t) (6) E(X" ) (c) E(Xizu...
##### 3 points) Referring to part (d), what is the probability that the next closest bus stop cast of the first bus stop is within 5 km?f) (3 points) Referring to part (d), give lower bound estimate for the probability that the total distance between the first and eighth bus stop is at most 82 km.
3 points) Referring to part (d), what is the probability that the next closest bus stop cast of the first bus stop is within 5 km? f) (3 points) Referring to part (d), give lower bound estimate for the probability that the total distance between the first and eighth bus stop is at most 82 km....
##### Um 1n(+4) 0.0 x xZa
Um 1n(+4) 0.0 x xZa...