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3 years ago

Write an algebraic expression which represents the volume of a cylinder whose radius is 3k and height is 2k + 1.

Mathematics

2 answers:

AlekseyPX3 years ago

8 0

V= Pi r^2 h
V = Pi (3k)^2 (2K+1) = Pi (9k^2)(2K+1)
V = (18K^3 + 9K^2 )Pi

pickupchik [31]3 years ago

5 0

V=hπr^2

V=(2k+1)π(3k)^2

V=π(2k+1)(9k^2)

V=π(18k^3+9k^2)

V=18πk^3+9πk^2

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lorasvet [3.4K]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The instantaneous rate of change at a given value of $x$ can be found by concept of derivative, which is described below:

$g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Where $h$ is the difference rate.

In this question we must find an expression for the instantaneous rate of change of $g$ if $f(x) = \sin x$ and evaluate the resulting expression for $x = \frac{\pi}{3}$ . Then, we have the following procedure below:

$g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}$

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Now we evaluate $g(x)$ for $x = \frac{\pi}{3}$ :

$g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}$

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. $\blacksquare$

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

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Since n=36 , p=0.23 , thus q= 1-p = 1-0.23=0.77

therefore,

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and therefore, p hat can be approximated by a normal random variable, because n*p>5 and n*q>5.

The question is incomplete, a possible complete question is:

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

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n*p = ?

n*q = ?

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