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2 years ago

Name 3 things that you need to know to know somethings volume. (teacher didn’t say what)

Mathematics

1 answer:

dolphi86 [110]2 years ago

5 0

Answer:

The area of the base and the height of the object

Step-by-step explanation:

you need to know these so you can us the formula B x H = V

B = base

H = height

V = volume

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You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta

vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

$m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

$\cos 2\theta = 0$

$2\theta = \cos^{-1}0$

$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

y: 1 -1 1 -1

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

6 0

3 years ago

Shay makes 24 liters of homemade vegetable stock. She distributes the stock

ANTONII [103]

Answer:

3 liters

Step-by-step explanation:

pretty simple first grade question, 24/8

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scZoUnD [109]

894 mi^2

as 24 x 37.25 = 894

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3 years ago

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elena-s [515]

Answer:

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Step-by-step explanation:

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