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3 years ago

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When the function is divided by x+1 the quotient is 3x^2 -9-2 and the remainder is 7 find the function and write the result in s

tandard form

1 answer:

ludmilkaskok [199]3 years ago

7 0

Answer:

hi

Step-by-step explanation:

hi

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Find dy/dx and d2y/dx2. x = cos(2t), y = cos(t), 0 < t < π

pogonyaev

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$

$y=\cos t\implies\dfrac{\mathrm dy}{\mathrm dt}=-\sin t$
$x=\cos2t\implies\dfrac{\mathrm dx}{\mathrm dt}=-2\sin2t=-4\sin t\cos t$
$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{-\sin t}{-4\sin t\cos t}=\dfrac14\sec t$

Let $z=\dfrac{\mathrm dy}{\mathrm dx}$ . Then

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm dz}{\mathrm dx}=\dfrac{\mathrm dz}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}=\dfrac{\frac{\mathrm dz}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$
$\implies\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\frac{\mathrm d}{\mathrm dt}\left[\frac14\sec t\right]}{-4\sin t\cos t}=\dfrac{\frac14\sec t\tan t}{-4\sin t\cos t}=-\dfrac1{16}\sec^3t$

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4 years ago

Which table shows a proportional relationship between x and y?

barxatty [35]

I would say a but not 100% sure.

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3 years ago

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*simplify 5|-3+(-7)|=

Lena [83]

Answer:

-2l -3

Step-by-step explanation:

5l -3+ (-7)l

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3 years ago

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kirill115 [55]

Answer:

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Step-by-step explanation:

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when the top number is zero, the answer is 0

if you plot the points in a graph, it is a horizontal line or y = mx + b = 0m -4

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Mama L [17]

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