3 years ago

Analyze the diagram below and complete the instructions

Mathematics

1 answer:

allochka39001 [22]3 years ago

6 0

Answer:

Step-by-step explanation:

Hope this helped! Please let me know if I'm wrong!

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The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is:

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Answer:

Yes, F is a continuous function of r

Step-by-step explanation:

We are given that

When r<R

$F(r)=\frac{GMr}{R^3}$

$r\geq R$

$F(r)=\frac{GM}{r^2}$

Where M=Mass of the earth

R=Radius of earth

G=Gravitational constant

We have to find the function is continuous of r or not.

LHL

$\lim_{r\rightarrow R-}\frac{GMr}{R^3}=\frac{GMR}{R^3}=\frac{GM}{R^2}$

RHL

$\lim_{r\rightarrow R+}\frac{GM}{R^2}=\frac{GM}{R^2}$

$F(R)=\frac{GM}{R^2}$

When a function is continuous at x=a

Then, LHL=RHL=f(a)

RHL==LHL=F(R)

Hence, the function is continuous of r.

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Answer:

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Step-by-step explanation:

x = 20/3.5 = 5.71

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

-7*8 = -56

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