If r(t) = 4e3t, 2e−3t, 4te3t , find t(0), r''(0), and r'(t) · r''(t).

we are given

Calculation of r(0):

we can plug t=0

Calculation of r'(0):

Firstly, we will find derivative

we can simplify it

now, we can plug t=0

Calculation of r''(0):

we can find second derivative

now, we can plug t=0

we get

Calculation of r'(0) · r''(0):

............Answer

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

b

step-by-step explanation:

it have 5 sides and 5 identicle angle.the rest does not have the same property as b.

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