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1 year ago

The acceleration in centimeters per second of a projectile is modeled by

Mathematics

1 answer:

ELEN [110]1 year ago

3 0

Answer:

The Acceleration, In Centimeters Per Second Per Second, Of A Projectile Is Modeled By A (T) = 21" - 156 + 36, Where T Is Measured in seconds

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Y equals the quotient of the quantity x squared plus 4 times x and the quantity x cubed minus 5.

koban [17]

Given:

Consider the completer question is "Find the derivative $\dfrac{dy}{dx}$ for $y=\dfrac{x^2-4x}{x^3-5}$ ."

To find:

The derivative $\dfrac{dy}{dx}$ .

Solution:

Chain rule: $\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)$

Quotient rule: $\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}$

We have,

$y=\dfrac{x^2-4x}{x^3-5}$

Differentiate with respect to x.

$\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)$

Using chain rule and quotient rule, we get

$\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}$

$\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}$

$\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}$

$\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}$

Therefore, the required answer is $\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}$ .

4 0

2 years ago

the original recipe calls for 2 pounds of pasta and serves 8 people. The party will have 40 people . how many pounds of pasta do

hichkok12 [17]

Answer:

10 pounds. Hope this helps!!!!

Step-by-step explanation:

If 2 pound serves 8 people you can express that as a ratio of 2:8 so to get 8 people to 40 you multiply by 5 so you must do the same for the amount of pasta so 2 multiplied 5 equals 10.

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3 years ago

Help with question 10.

kogti [31]

C.add10 is the correct answer

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2 years ago

Find the missing side lengths. Leave your answer as radicals in simplest form.

inn [45]

Answer:

Solution given:

b=9 base side of isosceles triangle

a= $\sqrt{9²+9²}=9\sqrt{2}$

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2 years ago

Dave wants to put a row of tiles in his kitchen. The row has to be 3 meter long. Each tiles is a square, with 25 cm sides. How m

ladessa [460]

Answer:the answer is b or c

Step-by-step explanation:

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2 years ago