Establish the following differentiation formulas: (a) (sin z)' = cos z (b) (cos z)' = -sin z (c) (sinh z)' = cosh z (d) (cos h z)' = sin h z (e) (tan z)' = sec^2 z (f) (arcsin z)' = (1 - z^2)^-1/2 (g) (arctan z)'= (1 +z^2)^-1 refer to section 5 of chapter 1 for the definitions of these functions. use the rules for differentiation, formulas (2) to (6), to find the derivative the functions in exercises 2 to 7. 2. z^2 + 10 z 3. exp (z^3 - z) 4. [cos (z^2)]^3 5. (z^3 + 6/(log z)^3 on the plane minus the negative reals 7. sin h(e^)

grab rope, tie a loop-de-loop, put it around ur neck, now jump while its tied to a high place. now your shoes are cool.

step-by-step explanation:

y=x+9

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step-by-step explanation:

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.