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2 years ago

What is the quotient? StartFraction 5 Superscript negative 6 Over 5 cubed EndFraction

Mathematics

1 answer:

vampirchik [111]2 years ago

6 0

Answer:

Step-by-step explanation:

1/5^9

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Find dy/dx x=a(cost +sint) , y=a(sint-cost)

MissTica

Answer:

$\begin{aligned} \frac{dy}{dx} &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)} \end{aligned}$ given that $a \ne 0$ and that $\cos(t) - \sin(t) \ne 0$ .

Step-by-step explanation:

The relation between the $y$ and the $x$ in this question is given by parametric equations (with $t$ as the parameter.)

Make use of the fact that:

$\begin{aligned} \frac{dy}{dx} = \quad \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}$ .

Find $\begin{aligned} \frac{dx}{dt} \end{aligned}$ and $\begin{aligned} \frac{dy}{dt} \end{aligned}$ as follows:

$\begin{aligned} \frac{dx}{dt} &= \frac{d}{dt} [a\, (\cos(t) + \sin(t))] \\ &= a\, (-\sin(t) + \cos(t)) \\ &= a\, (\cos(t) - \sin(t))\end{aligned}$ .

$\begin{aligned} \frac{dx}{dt} \ne 0 \end{aligned}$ as long as $a \ne 0$ and $\cos(t) - \sin(t) \ne 0$ .

$\begin{aligned} \frac{dy}{dt} &= \frac{d}{dt} [a\, (\sin(t) - \cos(t))] \\ &= a\, (\cos(t) - (-\sin(t))) \\ &= a\, (\cos(t) + \sin(t))\end{aligned}$ .

Calculate $\begin{aligned} \frac{dy}{dx} \end{aligned}$ using the fact that $\begin{aligned} \frac{dy}{dx} = \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}$ . Assume that $a \ne 0$ and $\cos(t) - \sin(t) \ne 0$ :

$\begin{aligned} \frac{dy}{dx} &= \frac{dy/dt}{dx/dt} \\ &= \frac{a\, (\cos(t) + \sin(t))}{a\, (\cos(t) - \sin(t))} \\ &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)}\end{aligned}$ .

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2 years ago

Tính kết quả \sqrt[3]{1}

vitfil [10]

Answer:

ano po yung question hindi kupo maintindihan pano kupo sa sagutan

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2 years ago

The there angles in a triangle ge in the ratio

Serggg [28]

Answer:

Step-by-step explanation:

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2 years ago

Tareq pays $22.10 for 2.6 pounds of salmon. what is the price per pound of the salmon?

Juliette [100K]

What i would do since $22.10 for 2.6 find out how much 1 pound of salmon is

so divide $22.10 by 2.6

which would equal $8.50

$8.50 per pound of salmon

hope this helped :>

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2 years ago

Read 2 more answers

89% of what number is 14

MariettaO [177]

Answer:

D: 14 = 0.89 x n; 15.7

Step-by-step explanation:

To get 89% of a number you have to multiply that number by 0.89

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2 years ago