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3 years ago

8

Subtract: (-4x-7)-(-5x-2)

1 answer:

Pepsi [2]3 years ago

4 0

I hope this helps you

-4x-7+5x+2

x-5

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Find The derivative of:(cosx/1+sinx)^3

forsale [732]

Answer:

$-\frac{3 \cdot cos^2x}{(1+sinx)^3}$

Step-by-step explanation:

$y = (\frac{cosx}{1+sinx})^3\\\\\frac{dy}{dx} = 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{dy}{dx}(\frac{cosx}{1+sinx})$ $[ y = x^n\ \ \ => \ \ \ \frac{dy}{dx} = b \cdot x^{n-1} \ ]$

$= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{(1+sin x(-sinx) - cosx(cosx)}{(1+sinx)^2}\\\\$ $[\ \frac{u}{v} = \frac{v \dcot u'- u \cdot v'}{v^2}\ ]$

$= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-sin^2x- cos^2x}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x- (sin^2x+ cos^2x)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-1}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1 \cdot(sin x+1)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1}{(1+sinx)}\\\\$

$= -3 \cdot \frac{cos^2x}{(1+sinx)^3}$

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3 years ago

The net of a triangular pyramid is shown.

alina1380 [7]

Answer:

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Step-by-step explanation:

because you need to multiply 6x4x3 divided by 3

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4 years ago

Javier walks from his house to the zoo at a constant rate. After walking 0.75 mile, he meets his brother, Raul, and they continu

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d

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Step-by-step explanation:

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3 years ago

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Which ratios have a unit rate of 4? Choose ALL that apply.

Keith_Richards [23]

Answer:

The evolution from vesicles to true cells was enabled by the development of

Step-by-step explanation:

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3 years ago

The half-life of Carbon 14 (C-14) is 5230 years. Determine the decay-rate pa-rameterλfor C-14.

Lady bird [3.3K]

Answer:

λ = 1.3252 x 10⁻⁴

Step-by-step explanation:

Since we are already given the half-life, the decay expression can be simplified as:

$N(t) = N_0*e^{-\lambda t}\\\frac{N(half-life)}{N_0}=0.5$

For a half-life of t =5230 years:

$0.5 = e^{(-\lambda t)} \\ln(0.5) = -\lambda * 5230\\\lambda = 1.3252*10^{-4}$

The decay-rate parameter λ for C-14 is 1.3252 x 10⁻⁴

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3 years ago