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3 years ago

Help plzzz will give brainliest

Mathematics

2 answers:

lawyer [7]3 years ago

7 0

Answer:

the answer is C hope this helps you

alukav5142 [94]3 years ago

4 0

Answer:

I would say C

Step-by-step explanation:

Trace x axis graph to about 100, then go up and left to y axis value, which is about 350.

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Write an equation for the graph below.

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Step-by-step explanation:

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Blank a function is the same as moving a function

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Shifting/Translating the function

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Ms. Smith has 50 pieces of candy. She gives Joe 30% of her candy. How many pieces does he get?

PilotLPTM [1.2K]

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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

3 years ago

What's the volume of the following cylinder?

Elan Coil [88]

Answer:

Step-by-step explanation:

you have probably finished the quiz by now but anyway

so first flip the picture so that u see the cylinder standing on its base

12 is the diameter and 8 the height

12/2 = 6=radius

finally u do

πr $r^{2}$ h

3.14* $6^{2}$ *8

**i simplified π so the answer will be 904.32**

please vote if you found this helpful :)

5 0

3 years ago