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3 years ago

The temperature of the atmosphere that an airplane is flying in can be found using the function T(h) -

Mathematics

1 answer:

rusak2 [61]3 years ago

3 0

Hmmm let me think I’ll be right back

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Find the domain f(x)= x/x^2+2

tatiyna

$f(x)=\frac{x}{x^2+2}\\
D_f:x^2+2\not=0\\
D_f:x^2\not=-2\\
D_f:x\in\mathbb{R}$

8 0

2 years ago

Complete parts a through c for the given function.

victus00 [196]

Answer:

a. The critcal points are at

$x=0,-5,3$

b. Then, $x = -5$ is a maximum and $x=3$ is a minimum

c. The absolute minimum is at $x = 3$ and the absolute maximum is at $x = -5.$

Step-by-step explanation:

(a)

Remember that you need to find the points where

$f'(x)=0$

Therefore you have to solve this equation.

$20x^4 + 40x^3 - 300x^2 = 0$

From that equation you can factor out $20x^2$ and you would get

$20x^2 ( x^2 +2x - 15) = 0$

And from that you would have $20x^2 = 0$ , so $x = 0$ .

And you would also have $x^2 +2x-15 = 0$ .

You can factor that equation as $x^2 +2x -15 = (x+5)(x-3) = 0$

Therefore $x=-5 , x=3$ .

So the critcal points are at

$x=0,-5,3$

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

$f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\$

Then, $x = -5$ is a maximum and $x=3$ is a minimum

The absolute minimum is at $x = 3$ and the absolute maximum is at $x = -5.$

6 0

2 years ago

Read 2 more answers

A student needs to make a circular cardboard piece with an area between 154 square inches and 616 square inches. The function f(

Sergio039 [100]

circular cardboard with an area between 154 in² and 616 in²

Radius is between 7 inches and 14 inches. ⇒ A) 7 < r < 14

√18 + √2 = √9 *2 + √2 = 3√2 + √2 = (3+1) √2 = 4√2

D) It is irrational and equal to 4 multiplied by the square root of 2.

3 0

2 years ago

Read 2 more answers

the number of states that entered the union in 1889 was half the number of states "s" that entered in 1788. which expression sho

blondinia [14]

Answer:

x = s/2

Step-by-step explanation:

● s states have joined the union in 1788

● half of s have joined in 1889

Let x be the number of states that have joined in 1889

● x = (1/2)× s

● x = s/2

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2 years ago

Helppppppppppppppppppppppppppp

NISA [10]

Area of cylinder = 2 pi r h + 2 pi r^2
= 2 * 3.14 * 4 * 12 + 2 * 3.14 * 4^2
= 301.44 + 100.48
Area of cylinder = 401.92 cm^2

4 0

2 years ago