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MissTica
3 years ago
6

Which function grows at the fastest rate for increasing values of x?

Mathematics
2 answers:
Stels [109]3 years ago
8 0
<h2>Answer:</h2>

The function which has the  fastest rate for increasing values of x are:

                     p(x)=5x^3+3

<h2>Step-by-step explanation:</h2>

We are given four polynomial functions as:

p(x)=5x^3+3\\\\\\ f(x)=8x^2-3x\\\\\\h(x)=2x\\\\\\g(x)=19x

Now as we know that if the degree of the polynomial increases the function becomes more extreme i.e. it increases very quickly with the increasing value of x.

Hence, among the given options the function which has the fastest rate of increase is:

                            p(x)=5x^3+3

( Since, it's degree is 3 which is highest as compared to the other polynomials (one of degree 2 and 2 of degree 1) )

Komok [63]3 years ago
7 0
Calculate the derivative of each function
And btw answer is p(x)
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An adventurous dog strays from home, runs three blocks east, two blocks north, one block east, one block north, and two blocks w
Marrrta [24]
<h2>Answer:</h2>

<u>Distance = 360.55 m</u>

<u>Direction = North-East</u>

<h2>Step-by-step explanation:</h2>

In the question,

The adventurous dog starts from O, say.

He moves 3 blocks East = 300 m

then,

2 blocks North = 200 m

1 block East = 100 m

1 block North = 100 m

2 blocks West = 200 m

So,

Distance of the Dog's <u>final position</u> from the <u>initial position</u><u>.</u>

OE is given by,

In triangle OLE, using Pythagoras theorem,

OE^{2}=OL^{2}+LE^{2}\\OE^{2}=(200)^{2}+(300)^{2}\\OE^{2}=40000+90000\\OE=360.55\,m

<em><u>Therefore, the distance of Dog from the Home is 360.55 m and the direction of Dog from Home is North-East.</u></em>

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