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2 years ago

If the function f' has a continuous derivative on [0, c] then integral from 0 to c f"(x)dx=

Mathematics

1 answer:

Softa [21]2 years ago

6 0

The result follows from the fundamental theorem of calculus. Since $f''(x)$ is the derivative of $f'(x)$ , we have

$\displaystyle \int_0^c f''(x) \, dx = \boxed{f'(c) - f'(0)}$

(E)

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An ice cream store uses 1/5 of a box of ice cream cones everyday. If they have 8 boxes, how many days will they last? Write the

Ad libitum [116K]

Answer:

1.6 days (1 3/5 for simplified form).

Step-by-step explanation:

Given equation:

1/5 * 8

We know that a box survives 1/5 a day.

1/5 * 8 = 1 3/5

It will survive 1 3/5 a day in 8 boxes.

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2 years ago

What is the inverse of the function f(x) = x + 2?

wolverine [178]

Turn f(x) into y so the equation is y=x+2. Now switch their places so it is x=y+2. Now solve for y. The answer is y=x-2.

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3 years ago

Lol i'm taking a test from everything i learned in middle school to nowwww . HELP & EXPLAIN

Yuliya22 [10]

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3 years ago

Si en 1950 el 30% de la población global, alrededor de 700 millones de personas habitaban

kramer

Answer:

zonas urbanas => 30 % de la poblacion => 700 millones

poblacion total => 100 % de la poblacion => x => 2333.3 millones

poblacion rural => 70% de la poblacion => x - 700 => 1633.33 millones

$x = \frac{700 \times100}{30} =2333.3$

$x-700=2333.3-700=1633.33\\$

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3 years ago

On Sundays, cars arrive at Sami Schmitt's Scrub and Shine Car Wash at the rate of 8 cars per twenty minute interval. Using the P

Sliva [168]

Answer:

The probability that five cars will arrive during the next thirty minute interval is 0.0127.

Step-by-step explanation:

Let X = number of cars arriving at Sami Schmitt's Scrub and Shine Car Wash.

The average number of cars arriving in 20 minutes is, 8.

The average number of cars arriving in 1 minute is, $\frac{8}{20}=\frac{2}{5}$ .

The average number of cars arriving in 30 minutes is, $\frac{2}{5}\times 30=12$ .

The random variable X follows a Poisson distribution with parameter λ = 12.

The probability mass function of X is:

$P(X=x)=\frac{e^{-12}12^{x}}{x!};\ x=0,1,2,3...$

Compute the probability that 5 cars will arrive in 30 minutes as follows:

$P(X=5)=\frac{e^{-12}12^{5}}{5!}$

$=\frac{6.1442\times10^{-6}\times 48832}{120}$

$=0.0127$

Thus, the probability that five cars will arrive during the next thirty minute interval is 0.0127.

6 0

3 years ago

If the function f' has a continuous derivative on [0, c] then integral from 0 to c f"(x)dx=​

If the function f' has a continuous derivative on [0, c] then integral from 0 to c f"(x)dx=