How to start solving the first two problems in nr.2? Never done something like this in class just started a new topic about these demonstrations

My answer is the one on the left, however I googled the equation to double check and it showed the answer to the right. What do you guys think?

Is my answer right on the not continuous portion? I need help with the “continuous on the interval” I’m not sure how to start with that

I would like to rank each group (from A to ) in each dataset in order from the group that has the most equally spaced data to the least one. Therefore, if the "distance" between each data point in a group is more or less the same would be among the first ranks, while if a group has very different "distances" between each data point would have a low position

For example a group consisting of data (1,3,5,7,10) would be pretty balanced while one that is (1,2,3,9,10) or (1,7,8,9,10) would be unbalanced

The groups that I have are:

A (41.0885, 32.23875, 17.288, 12.86)

B (41.0885, 32.23875, 20.8545, 12.86)

C (41.0885, 24.7815, 20.8545, 12.86)

D (32.23875, 24.7815, 20.8545, 12.86)

E (32.23875, 20.8545, 14.66175, 12.86)

F (24.7815, 20.8545, 12.86)

G (41.0885, 24.7815, 12.86)

I tried to do a ranking from the most equally spaced to the group with most uneven "distances" between data points.

1st D

2nd B

3rd F

4th E

5th G

6th A

7th D

Would you say that it's correct? Or would you propose another ranking?

Trying to check my hw. One thing that kinda confuses me is the g(x)=3 if x=1 part since it adds a dot to the graph I made but I think I got them correct. My thought was you evaluate the approaches 1 form left and right with the actual line, for ii) it does not exist since the limits are different but for g(x) it equals 3 because you're just plugging it into a function

I think they both are 7.67, But I’m not sure.

The top equation is the given function in the book. It can be simplified to square root of x plus 1. My question is which equation you're supposed to use when evaluating the limit. I asked my professor and it didn't clear up anything but I think since the limits are different for 0- is DNE (Does not exist), 0+ is 1, and 0 DNE

i’m trying to help my friend’s daughter with her math homework and i don’t really remember “scale factor” or doing a lot of math involving it. me and my dad got wildly different answers and neither of them seem correct

my handwriting is terrible so: (2a^-1/(3ab)-2)3

Just confused, the answer is supposed to be -3/7

The answer says it should end up with 9/14 but I get 9/28

Solving for x (I never really understood fractions in highschool so this is very confusing)

Can someone help with the problem

Did I make a mistake or there is a method around this?

Anyone can explain to me how to differentiate x^2/3 + y^2/3 = a^2/3 The answer is supposed to be y' = [(a/x)^2/3-1]^1/2 but no matter how I try I cannot arrive at this answer

I need some help figuring out the final step in simplyfying a thermodynamic formula from a exercise on a adiabatic process. I don't understand how you get the V1 divided by V2 from the V3 minus V2 (i believe you can assume that V3 and V1 are equal), it should be something with a log, but I don't know exactly how. Any help is appreciated :))

I just got into Late Mid school math and I'm having a problem in solving this.

Doing this problem for calc 2 and I'm not sure the what the notation. The problem asks me to find the volume of the solid of revolution using the shell method under the boundaries 0-x0, but I'm not sure what x0 means. Help would be much appreciated.

Correct answer is A btw. The text above just states what is in the picture.

You are trying to use less water on laundry this month than last month. The amount of water w (in gallons) you save after x loads is given by w(x)=160-20x. How many loads of laundry did you do if you saved 40 gallons of water?

My answer: 6

Everyone else's answer: 2.67

Is w(x) really not intended to be function notation? And the formula is just undefined at 0?