Search -y-x-i-dont-know-how-to-solve-that-and-i-need-help-before-my-math-test-and-i-need

y x i dont know how to solve that and i need help before my math test and i need


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1.Show that the force field vec F =(2xy-4- 1 2 sin( x 2 )sin( y 2 )) hat i +(x^ 2 + 1 2 cos( ...

cos( x 2 )cos( y 2 )) hat j is conservative and obtain the potential function. Evaluate the work done by vec F in moving a particle along the curve C which is the portion of the circle centered at origin with radius 2 in the first quadrant with counter clockwise orientation, without using line integrals.
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2.I am trying to figure out the optimal radius that will give the lowest surface area of a cylinder. I ...

have done the calculus which reveals that the surface area is at a minimum when height is double the radius. I am now trying to find an equation for the relationship between the amount of wasted surface area as a percentage of the minimum surface area and the ratio between height and radius. If I were to plot it on a graph, the y axis would be the percentage of excess materials needed as a percentage of the minimum possible surface area, and the x axis would be height divided by radius. Since the surface area is minimized when height=2(radius), I know that when x=2, y=0. The website explains what I am trying to do quite well and shows the graph below. I am trying to find the equation for this graph, but am unsure how to go about it.
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4.Hello guys, I confess that I absolutely suck at math. Unfortunately my boss handed me what is basically a math ...

lly a math problem I gotta solve, and I have no idea how to do it cause of lack of my math skills. I am hoping someone can help me with this or I'm screwed. Co basically I've got this table in excel, where X (row) is a width and Y is a height (column) of a wooden sauna cabin, the X;Y is the price for a sauna with said dimensions. I need to find a relationship between the size of the sauna and the price And formulate ani equation. I can't seem to find it, the price seems to grow non linearly, I can't seem to find any coeficient. Again, I suck at math, maybe solution is simple, but I just don't see it. Can anyone help me please? Table Is at this link . Thanks for any help!
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5.Here's a copy paste of the data i accumulated Dependent Variable: Speed Independent Variable: Drop Speed = 37.529503 + 0.18599121 Drop Sample size: 61 R ...

op Speed = 37.529503 + 0.18599121 Drop Sample size: 61 R (correlation coefficient) = 0.92132219 R-sq = 0.84883459 Estimate of error standard deviation: 4.4083553 Intercept 37.529503 Slope 0.18599121 Scatterplot has a positive direction. Question as follows Run another linear regression but use x = Drop (in feet) to predict y = Speed (in miles per hour). __________ Slope Interpretation: __________
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7.So I am looking at polar and Cartesian and converting between the two. My question is, I have never seen ...

seen an equation of a circle this is moved in both the x and y direction be converted to a polar equation. For example, I know that the equation of a circle x^(2)+(y-2)^(2)=4 is r=4sin(theta) when converted to polar. Same thing for a translation with the x variable. However, I have never seen, nor do I know how to do, a conversion of a circle with both translations. For example, converting this equation of a circle to a polar equation: (x+3)^(2)+(y-4)^(2)=4. I have no idea how to do such a thing and cannot find any examples of such. Hope you can shed some light on this, Thanks.
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics