Nora uploaded a funny video on her website, which rapidly gains views over time. the following function gives the number of views ttt days after nora uploaded the video: v(t)=100⋅e0.4t what is the instantaneous rate of change of the number of views 444 days after the video was uploaded?

  about 198.1

Step-by-step explanation:

The instantaneous rate of change is given by the derivative:

  V'(t) = 100·e^(0.4t)(0.4)

  V'(t) = 40·e^(0.4t)

So V'(4) is ...

  V'(4) = 40·e^1.6 ≈ 198.1213

The instantaneous rate of change of views at day 4 is 198.1 views per day.

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

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step-by-step explanation:

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