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2 years ago

A wheel has a radius of 4 inches and travels as it spins. How far does the wheel travel

Mathematics

1 answer:

vaieri [72.5K]2 years ago

8 0

The distance a tire travels is equal it it’s circumference.

circumference = pi x radius x 2

Circumference = 25.13 inches

Rounded to nearest inch = 25 inches

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consider the function and then use calculus to answer the questions that follow 1 1/x 5/x^2 1/x^3 (a) Find the interval(s) where

boyakko [2]

Answer:

a) $X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)$

b) $Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )$

Step-by-step explanation:

From the question we are told that

The Function

$f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}$

Generally the differentiation of function f(x) is mathematically solved as

$f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}$

$f(x)=\frac{x^3+x^2+5x+1}{x^2}$

Therefore

$f'(x)=\frac{x^2+10x+3}{x^4}$

Generally critical point is given as

$f'(x)=0$

$\frac{x^2+10x+3}{x^4}=0$

$x=-5 \pm\sqrt{22}$

Generally the maximum and minimum x value for critical point is mathematically solved as

$f'(-5 \pm\sqrt{22})$

Where

Maximum value of x

$f'(-5 +\sqrt{22})$

Minimum value of x

$f'(-5 +\sqrt{22})$

Therefore interval of increase is mathematically given by

$f'(-5 -\sqrt{22}),f'(-5 +\sqrt{22})$

$f(x)$

Therefore interval of decrease is mathematically given by

$(-\infty,-5 -\sqrt{22}),f'(-5 +\sqrt{22},0),(0,\infty)$

Generally the second differentiation of function f(x) is mathematically solved as

$f''(x)=\frac{2(x^2+15x+6)}{x^5}$

Generally the point of inflection is mathematically solved as

$f''(x)=0$

$x^2+15x+6=0$

Therefore inflection points is given as

$x=\frac{1}{2} (-15 \pm \sqrt{201}$

$f''(x)>0,\frac{1}{2}(-15-\sqrt{201})$

a)Generally the concave upward interval X is mathematically given as

$X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)$

$f''(x)$

b)Generally the concave downward interval Y is mathematically given as

$Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )$

5 0

3 years ago

Write a verbal phrase to describe f > -4

sdas [7]

I would say it as "the letter F is greater than negative four."

8 0

3 years ago

the park ranger stocks the children's fishing pond keeping a ratio of 4 sunfish to 3 perch.if he puts 300 sunfish into a pond, h

goldfiish [28.3K]

300/1 ÷ 4/3 and cross multiply you will get 900/4 then divide 4÷900 get 225

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3 years ago

If 6-x=2(x-6), what is the value of x? Answer 1. 2. 4. 6.

il63 [147K]

Answer:

Step-by-step explanation:

1)6-6=0

2)2(6-6)

2*0

x=6

7 0

3 years ago

Read 2 more answers

What is the area of a right triangle with a hypotenuse of 32 cm and one leg of 30 cm? Round your answer to the nearest unit, if

Anton [14]

This would be your answer. 11.14cm

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3 years ago