Question

calc help like maybe 15 questions

Answer 1

@Shadow @dude halp dis grill

Answer 2

??? where are ?

Answer 3

i dont see any

Answer 4

@kaylak please post the questions when you can.

Answer 5

@Vocaloid @Shadow

Answer 6

@Vocaloid

Answer 7

for 1) inflection points you have to take the second derivative and see if the sign changes from + to - anywhere (graphing is a shortcut method to accomplish this)

Answer 8

3) another concavity question, take the second derivative and identify where its positive

Answer 9

4) if 0 is the lowest output value this function can go, then it's true; otherwise false

Answer 10

is 1 true?? I will have to look again

Answer 11

two pieces of evidence point to false:

1. if you look at the graph of ln(5x) it's concave down everywhere (so it never changes concavity and thus has no inflection point)
2. the second derivative is -1/x^2 which is always negative

Answer 12

ah okay sorry Im not on a lot to work it out busy cleaning let me see if I can determine next one and tonight is just 8 questions

Answer 13

Is 2 true?

Answer 14

yeah

Answer 15

3 is a ?

Answer 16

yeah that's what i got too

Answer 17

4 is it true

Answer 18

yes

Answer 19

last 4 for tonight

Answer 20

15 for 1? let me check

Answer 21

@Vocaloid

Answer 22

it's -7 at least that's what I got

Answer 23

true?

Answer 24

I don't remember how to do 1) using calculus but just graphing it gives the maximum value at x = 5 which gives you 11 when you plug it into the function

Answer 25

okay

Answer 26

same logic w/ 2) I ended up graphing it and found that x = -pi/2 is not a relative minimum

Answer 27

okay so you are confident on 5 of 6?

Answer 28

for 3) I drew the cardboard piece out:

Answer 29

to save some time you can either use a calculator to find the maximum or take the derivative

either way the maximum volume ends up being 24 which would fall between the 20-30 range

Answer 30

okay cool

Answer 31

for the last one, you just have to multiply each pair of numbers and see which one gives the smallest product

so 39*1 = 39
15*25 = 375
10*30 = 300
20*20 = 400

making 39 and 1 the best choice

Answer 32

as a general rule, if the two factors have a set sum, the farther the factors are, the smaller the product will be; the closer the two factors are, the higher the product will be

Answer 33

I didn't even think of that now I feel slow ty so much

Answer 34

are you confident with these answers? so I can study this

Answer 35

I feel pretty good but a 2nd opinion wouldn't hurt

Answer 36

100% ty!