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3 years ago

Write (p^2)^3 without exponents

Mathematics

1 answer:

Vilka [71]3 years ago

5 0

Answer:

p^6

Step-by-step explanation:

We are using rule power to a power. x^2^3 = x^(2*3)

p^6

Hope this helps plz hit the crown :D

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Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t

Neporo4naja [7]

Answer:

$V=61.66$

Step-by-step explanation:

This problem can be solved by using the expression for the Volume of a solid with the washer method

$V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx$

where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).

Before we have to compute the limits of the integral. We can do that by taking f=g, that is

$f(x)=g(x)\\ln(x)=\frac{1}{2}x-2$

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)

x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

$R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\$

and by replacing in the integral we have

$V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\$

$V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]$

and by evaluating in the limits we have

$V=61.66$

Hope this helps

regards

3 0

3 years ago

The table represents the function f(x). If g(x) = -(x + 1)^2 - 10, which statement is true?

miskamm [114]

Answer:

Answer C is correct.

Step-by-step explanation:

f(x) clearly has a maximum: y = +10 at x = 0.

Analyzing g(x) = -(x + 1)^2 - 10, we see that the vertex is at (-1, -10), and that the graph opens down. Thus, -10 is the maximum value; it occurs at x = -1.

Answer A is false. Both functions have max values.

Answer B is false. One max is y = 10 and the other is y = -10.

Answer C is correct. The max value of f(x), which is 10, is greater than the max value of g(x), which is -10.

Answer D is false. See Answer B, above.

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Setler [38]

I the answer To You Problem Is C

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Law Incorporation [45]

A rational number is a number that can be expressed as a fraction, therefore all integers are rational numbers

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