TL;DR Summary: related rates problem
The radius of a cylinder is increasing at a constant rate of 3 meters per minute. The volume remains a constant 1115 cubic meters. At the instant when the height of the cylinder is 44 meters, what is the rate of change of the height?
Please walk me step by step on how to do it (we don't have imaginary numbers so don't bring that up)
Also how to put signs on the numbers line when I get minus in the root? (non solveable equation)
Sorry for my English.
For this,
I first try to work out where function is increasing
My working is
##f'(x) = 12x^3 - 12x^2 - 24x##
For increasing,
##12x(x^2 - x - 2) > 0##
##12x > 0## and ##(x - 2)(x + 1) > 0##
##x > 0## and ##x > 2## and ##x > -1##
However, how do I combine those facts into a single domain...
Relevant code:
if (food.x === snake[0].x && food.y === snake[0].y) {
// increase the size of the snake
snake.push({
x: snake[snake.length - 1].x,
y: snake[snake.length - 1].y });
where snake is an array of objects. Each object is x and y coordinates of snake position...
Here's the full code.
snakeArr.unshift({ x: snakeArr[0].x + inputDir.x, y: snakeArr[0].y + inputDir.y })
This is the code to increase the size of snake once it collides with food.
The code above it and below it, sound play when food is eaten and changing food location when food is eaten are...
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Experimental evidence for effective mass increasing with speed”
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I was reading an article by Edward Harrison, which tackles the problems of conservation of energy at cosmological scales.
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a. find the vertex convert to vertex form $g(t)=a(t-h)^2-k$
\item $g(t)=3\left(t-\dfrac{5}{3}t+\left(\dfrac{5}{6}\right)^2\right)
+1-\dfrac{25}{12}
=3\left(t-\dfrac{5}{6}\right)^2-\dfrac{13}{12}$
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Attached here is the full problem I am doing.
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Here I'm going to show all that I've understood -
1.
2.
3.
What I've attempted -
L = Lo (1+ α * ẟT)
ẟT = 150°C - 15°C = 135°C
(Steel) L = ẟL (1 + 11 * 10^-6 * 135)
(Copper) L = ẟL (1 + 17 * 10^-6 * 135)
This doesn't get me anywhere, obviously.
Am I supposed to understand from the...
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Hello all,
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Thank you !
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I want to check out if I've solved correctly:
##\Delta{V}=-E\Delta{x}##
##\dfrac{\Delta{V}}{\Delta{x}}=-E##
##\dfrac{15\;V}{10^{-2}\;m}=-E##
##1,5\times{10^3}\;N/C=-E##
##\vec{E}## direction it's oriented into the XY plane
Thanks!
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212
Let f be the function given by $f(x)=300x-x^3$ On which of the following intervals is the function f increasing
(A) $\quad (-\infty,-10]\cup [10,\infty)$
(B) $\quad [-10,10]$
(C) $\quad [0,10]$ only
(D) $\quad [0,10\sqrt{3}]$ only
(E) $\quad [0,\infty]$
Steps
ok this was a little...