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3 years ago

Which of the following best describes a cone?

1 answer:

amm18123 years ago

5 0

Option B: A three-dimensional solid made from a pile of similar two-dimensional circles that grow smaller as the solid gets taller until it reaches a point at the vertex

The A is a cylinder, the D es pyramid, and I cannot figure out what the C is.

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7-10. Waits - Conditional Statemeru B-Converse Statement C - Inverse Statement

Eva8 [605]

Answer:

Step-by-step explanation:

3 0

2 years ago

Help me with differentation and integration please!!

Marina86 [1]

Answer:

See below

Step-by-step explanation:

$\dfrac{d}{dx} (\tan^3 x) = 3\sec^4 x - 3\sec^2 x$

Recall

$\dfrac{d}{dx}\tan x=\sec^2$

Using the chain rule

$\dfrac{dy}{dx}= \dfrac{dy}{du} \dfrac{du}{dx}$

such that $u = \tan x$

we can get a general formulation for

$y = \tan^n x$

Considering the power rule

$\boxed{\dfrac{d}{dx} x^n = nx^{n-1}}$

we have

$\dfrac{dy}{dx} =n u^{n-1} \sec^2 x \implies \dfrac{dy}{dx} =n \tan^{n-1} \sec^2 x$

therefore,

$\dfrac{d}{dx}\tan^3 x=3\tan^2x \sec^2x$

Now, once

$\sec^2 x - 1= \tan^2x$

we have

$3\tan^2x \sec^2x = 3(\sec^2 x - 1) \sec^2x = 3\sec^4x-3\sec^2x$

Hence, we showed

$\dfrac{d}{dx} (\tan^3 x) = 3\sec^4 x - 3\sec^2 x$

================================================

For the integration,

$\int \sec^4 x\, dx$

considering the previous part, we will use the identity

$\boxed{\sec^2 x - 1= \tan^2x}$

thus

$\int\sec^4x\,dx=\int \sec^2 x(\tan^2x+1)\,dx = \int \sec^2 x \tan^2x+\sec^2 x\,dx$

and

$\int \sec^2 x \tan^2x+\sec^2 x\,dx = \int \sec^2 x \tan^2x\,dx + \int \sec^2 x\,dx$

Considering $u = \tan x$

and then $du=\sec^2x\ dx$

we have

$\int u^2 \, du = \dfrac{u^3}{3}+C$

Therefore,

$\int \sec^2 x \tan^2x\,dx + \int \sec^2 x\,dx = \dfrac{\tan^3 x}{3}+\tan x + C$

$\boxed{\int \sec^4 x\, dx = \dfrac{\tan^3 x}{3}+\tan x + C }$

6 0

2 years ago

PLEASE HELP AND EXPLAIN SO I CAN LEARN. THANKS. Indicate whether each item described contains parallel lines or perpendicular li

AfilCa [17]

Answer:

Hey! I think I can help.

Parallel lines are lines that can't meet.Perpendicular lines are lines that can meet.

e.)Since the line at 12 and the line at 9 meets then it is a perpendicular line.

c.)Perpendicular line.

a.)Perpendicular line.

b.)Parallel line.

d.)Depending on how they are faced if the ends of the telephone wire meets the second one then it is perpendicular but if not then it is parallel that's if they are in different directions which they can not meet.Thank you for the question

5 0

3 years ago

What is the answer to this equation <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%3D5%20" id="TexFormula1" title="

Marizza181 [45]

Multiply both sides by 4 to isolate the x term.

x = 5 × 4

x = 20

8 0

3 years ago

I need help using the quadratic equation to solve this problem. Show all steps that you used to solve this problem. (x+2) (x-3)

tekilochka [14]

Answer:

x= 3 +/- sqrt 5

Step-by-step explanation:

Step-by-step explanation:

6 0

3 years ago