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2 years ago

Calculate average rate of change between n=1 and n= 11

Mathematics

2 answers:

nexus9112 [7]2 years ago

8 0

Answer:

Step-by-step explanation:

1 1 1 11

2 2 2 22

3 3

4 4

and now u see the first i think

crimeas [40]2 years ago

5 0

Answer:

The ordered pairs for 1 and 3 are:

(1,2) (3,8)

Now use the slope formula:

(y2-y1)/(x2-x1)

(8-2)/(3-1)= 6/2 = 3

Step-by-step explanation:

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1. The mechanics at Lincoln Automotive are reborning a 6 in deep cylinder to fit a new piston. The machine they are using increa

Firdavs [7]

Answer:

$0.0239\frac{in^{3}}{min}$

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

Diameter=3.8in

Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

$r'=\frac{1/1000in}{3min}$

which yields:

$r'=\frac{1}{3000}\frac{in}{min}$

with this information we can start solving the problem.

First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:

$V=\pi r^{2}h$

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:

$V=\pi r^{2}(6)$

$V=6 \pi r^{2}$

We can now take the derivative to this formula so we get:

$\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}$

Which simplifies to:

$\frac{dV}{dt}=12\pi r \frac{dr}{dt}$

We can now substitute the data provided by the problem to get:

$\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})$

which yields:

$\frac{dV}{dt}=0.0239\frac{in^{3}}{min}$

3 0

2 years ago

The pollutant PCB (polychlorinated biphenyl) can affect the thickness of pelican eggshells. Thinking of the thickness, T, of the

gayaneshka [121]

Answer:

The expression f(200) depicts the value of the concentration of the pollutant, which when substituted in the expression T = f(P) will give the value of the thickness of the pelican eggs.

Step-by-step explanation:

Since we are given that T = f(P)

Where T = thickness of the eggs

P = concentration in ppm ((parts per million))

Considering f(200) comparing to f(P)

The expression f(200) depicts the value of the concentration of the pollutant, which when substiuted in the expression T = f(P) will give the value of the thickness of the pelican eggs.

i.e substituted the value of the concentration in ppm to get the thickness of the pelican eggs in mm. since the expression shows thickness of pelican eggs as a function of the concentration. for every 200ppm of concentration, the numerical value of the thickness of pelican eggs can be gotten.

6 0

2 years ago

The donaldson's swimming pool measures 15 metters long 8 meters wide and 3 meters deep how many cubic meters if water will the p

Svetradugi [14.3K]

V=l*w*h

V= 15*8*3

V= 120*3

V= 360

The pool will hold 360 cubic meters.

7 0

3 years ago

Help me with Thursday ASAP please

MrRissso [65]

Answer:

a + 3

Step-by-step explanation:

Kim's age is always three more than Tom's age.

7 0

2 years ago

Ok but why are so many people doing face reveals on this app?!? Anyways…

NeTakaya

Answer:

bru its cool

Step-by-step explanation: lol

4 0

2 years ago

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