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# Consider F and C below.F(x, y, z)= yz i + xz j +(xy + 4z) kC is the line segment from (3, 0, âˆ’2) to(4, 4, 3)(a) Find a function f suchthat F = âˆ‡f.f(x, y...

## Question

###### Consider F and C below.F(x, y, z)= yz i + xz j +(xy + 4z) kC is the line segment from (3, 0, âˆ’2) to(4, 4, 3)(a) Find a function f suchthat F = âˆ‡f.f(x, y, z) =(b) Use part (a) to evaluate Câˆ‡f Â· dr along the givencurve C.

Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 4z) k C is the line segment from (3, 0, âˆ’2) to (4, 4, 3) (a) Find a function f such that F = âˆ‡f. f(x, y, z) = (b) Use part (a) to evaluate C âˆ‡f Â· dr along the given curve C. #### Similar Solved Questions

##### Fimd tle Velue of #o sdid enelesed PROBLEm 4 Ry bslefd Cy-!) ond tlle ~Le Pere Hene < X-0 X-| 71 40 end 73 2+
Fimd tle Velue of #o sdid enelesed PROBLEm 4 Ry bslefd Cy-!) ond tlle ~Le Pere Hene < X-0 X-| 71 40 end 73 2+...
##### 1 fA = 5 03 4 and B =[51 74 9- 24 find AB and BA if it is possible. 3
1 fA = 5 0 3 4 and B =[51 74 9- 24 find AB and BA if it is possible. 3...
##### Hceaab Report JeGenelles ProbleusAetilu IlAnsler the following quetiong_ Coustruct & Punnett eqpane ~bich [uelruls Sa Ue neue Mucredetemulglliathecnees the nehtonthequeatonsgperson homozygous for unattached Iobe> mates with person homozygous for attached lobes: (unattached lobes are dominant) State perent probability for ofTspring with: Homorsygots domtnant genole Honozygouls Iecessive gcnotype Heterozygous genotype VDxolulnkatnleuptteeelileuouee Recessive trait phenotypeJA person heteroz
hcea ab Report Je Genelles Probleus Aetilu IlAnsler the following quetiong_ Coustruct & Punnett eqpane ~bich [uelruls Sa Ue neue Mucredetemulglliathecnees the nehtonthequeatonsg person homozygous for unattached Iobe> mates with person homozygous for attached lobes: (unattached lobes are domin...
##### 1.600 in2.S00 in3.750 in
1.600 in 2.S00 in 3.750 in...
##### Let f be a continous funetion with different signs at &.6, with a < 6 and let {ca} be bisection method sequence of approximations OH using starting interval [a, 6]. Let fz be continuous function with different signs at a.b, with a < b and let {d,}30 be bisection method's sequence of approximations OH usiug starting interval [a, 6]. Prove (perhaps by induction) if Ck = dk, for some k , thien Ci = d; for all i < k_ (6) Give an example of fi, fz. a,b,k: such that Ck dk but â‚¬j #
Let f be a continous funetion with different signs at &.6, with a < 6 and let {ca} be bisection method sequence of approximations OH using starting interval [a, 6]. Let fz be continuous function with different signs at a.b, with a < b and let {d,}30 be bisection method's sequence of a...
##### Let G be an undirected graph with n vertices and 26 edges such that each vertex of G has a degree at least 4. Then the maximum possible value of n isSelect one: 0 A 7O B. 10C. 43D. 13
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##### The column below consists of nvo cubes and cylinder. The cylinder has diametet Y, wbich is also the length of the sides of each cube The total height of the column isSy Which of the formulas below gives the volume of the column?A) 2y +1y'B) 2y'+37y' C) y +Sty' 33Y D) 2y
The column below consists of nvo cubes and cylinder. The cylinder has diametet Y, wbich is also the length of the sides of each cube The total height of the column isSy Which of the formulas below gives the volume of the column? A) 2y +1y' B) 2y'+37y' C) y +Sty' 33Y D) 2y...
##### Take the following matrices, row reduce them to find the rank and nullity. List the vectors that are the basis of the image and the vectors that are the basis for the null space. (If nullity = 0, the basis is the empty set @.)(6 points)T =Frank =nullitybasis for imagebasis for null space(8 points)0ranknullitybasis for null spacebasis for imageof 19 points (page 3)
Take the following matrices, row reduce them to find the rank and nullity. List the vectors that are the basis of the image and the vectors that are the basis for the null space. (If nullity = 0, the basis is the empty set @.) (6 points) T = F rank = nullity basis for image basis for null space (8 p...
##### Drift & Selection Just bocause lection has been introduced, this doesn't moan that the effects of drift are moot Expbre how changing population size (N} with selection affocts allale frequent changa 5.How does population size affect alleles under selection (selection and drift)? Reset: starting allele frequency (freq ) . generations and fitness coofficient (W, A allele dominant bene ficial) Variable: population size (N)S0t 50.010.010.010.01tn-5,0005.0005,0005.000gedelalong5002,00010,000
Drift & Selection Just bocause lection has been introduced, this doesn't moan that the effects of drift are moot Expbre how changing population size (N} with selection affocts allale frequent changa 5.How does population size affect alleles under selection (selection and drift)? Reset: star...
##### QUESTION 22The theoretical yield of the synthesis of wintergreen oil is 37k Provide answer with 3 decimals, no unit***QUESTION 23What is the actual yield of the chemical reaction? ##*Provide answer with decimal, no unit"*+QUESTION 24What is the percent yield of the synthesis of wintergreen oil? ##*Provide the numeric answer with no decimals no unit***
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##### Hale KH_O_I[Hz] Rate KNO ? Hz]Hale KINO]? [Hzl? Iate NNO]IHzl' IN-IHzO}SubinilRequeen:wti
Hale KH_O_I[Hz] Rate KNO ? Hz] Hale KINO]? [Hzl? Iate NNO]IHzl' IN-IHzO} Subinil Requeen:wti...
##### A. Determine whether the parabola opens upward or downward.b. Find the vertex.c. Find the $x$ -intercept(s), if possible.d. Find the $y$ -intercept.e. Sketch the graph.$$y=x^{2}-4$$
a. Determine whether the parabola opens upward or downward. b. Find the vertex. c. Find the $x$ -intercept(s), if possible. d. Find the $y$ -intercept. e. Sketch the graph. $$y=x^{2}-4$$...
##### Will help you prepare for the material covered in the next section.Solve: $rac{2 x}{3}= rac{14}{3}- rac{x}{2}$.
Will help you prepare for the material covered in the next section. Solve: $\frac{2 x}{3}=\frac{14}{3}-\frac{x}{2}$....
##### Naint} wrancr 0,3 meters Iong 4ong Ina poiitnio X-aua Onps Do : nt the orgin; orca Opouod the â‚¬ roctin of {0.5,-2) thu ond f tho wrunch Find Inu mugnitude Ehutoie nottot [acDnd supoly 100 noxdon- metor: torguu tho boltForcu 327 u1nettton _
naint} wrancr 0,3 meters Iong 4ong Ina poiitnio X-aua Onps Do : nt the orgin; orca Opouod the â‚¬ roctin of {0.5,-2) thu ond f tho wrunch Find Inu mugnitude Ehutoie nottot [acDnd supoly 100 noxdon- metor: torguu tho bolt Forcu 327 u1 nettton _...
##### For the following function, a) give thecoordinates of any critical points and classify each point as arelative maximum, a relative minimum, or neither;b) identify intervals where the function isincreasing or decreasing; c) give thecoordinates of any points of inflection; d)identify intervals where the function is concave up or concavedown, and e) sketch the graph.g(x)=x^3-12x^2+45x+5a) What are the coordinates of the relativeextrema? Select the correct choice below and, if necessary, fillin the
For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither; b) identify intervals where the function is increasing or decreasing; c) give the coordinates of any points of inflection; d) identify intervals w...
##### What were the real reasons that coca was taken out of CocaCola?Do these reasons mean that cocaine was not or is notharmful?How then could you still justify the prohibition of Cocaine by the government of the USA
What were the real reasons that coca was taken out of Coca Cola? Do these reasons mean that cocaine was not or is not harmful? How then could you still justify the prohibition of Cocaine by the government of the USA...