Dr. Brown did 6 experiments at 7AM. Dr. Rachal did 8 experiments at 6PM. They both had 564 tools each. Dr. Brown used 386 and Dr
1 answer:
Answer:
Step-by-step explanation:
Total number of tools for both = 564.
Dr Brown used 386 tools for 6 experiments.
average number of tools per experiment used by Dr Brown =
= 64
Dr Rachal used 236 tools for 8 experiments.
average number of tools per experiment used by Dr Rachal =
= 29
i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64)
= 2.7668
Dr Brown can do two more experiments.
The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29)
= 11.1186
Dr Rachal can do 11 more experiments.
ii. Number of tools left after Dr Brown's experiments = 564 - 386
= 178
Number of tools left after Dr Rachal's experiments = 564 - 236
= 328
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Answer:
The fifth degree Taylor polynomial of g(x) is increasing around x=-1
Step-by-step explanation:
Yes, you can do the derivative of the fifth degree Taylor polynomial, but notice that its derivative evaluated at x =-1 will give zero for all its terms except for the one of first order, so the calculation becomes simple:
and when you do its derivative:
1) the constant term renders zero,
2) the following term (term of order 1, the linear term) renders: since the derivative of (x+1) is one,
3) all other terms will keep at least one factor (x+1) in their derivative, and this evaluated at x = -1 will render zero
Therefore, the only term that would give you something different from zero once evaluated at x = -1 is the derivative of that linear term. and that only non-zero term is: as per the information given. Therefore, the function has derivative larger than zero, then it is increasing in the vicinity of x = -1