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3 years ago

Write an equation for the translation of the function. y = cos x; translated 6 units up

Mathematics

2 answers:

kenny6666 [7]3 years ago

4 0

Your answer would be, y= cos(x)+6

BabaBlast [244]3 years ago

4 0

Answer:

$y=\cos x + 6$

Step-by-step explanation:

We are given a cos x function. We need to find the function shift 6 units up.

Graph will shift 6 units up. So, all y value of function shift vertically up.

y=f(x)

If shift h and k horizontally and vertically respectively then y=f(x+h)+k

y=cos x

Shift h and k unit then new function

y=cos(x+h)+k <=> cos x + 6

Thus, C is correct option.

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Suppose a tub has the shape of an elliptical paraboloid given by z = ax2+by2 (where a, b are some positive constants). If a marb

Umnica [9.8K]

Answer:

It would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

Step-by-step explanation:

It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.

Since

$z = ax^2 + by^2$

For this case, the gradient of your function would be

$\nabla z = (2ax , 2by)$

And -1 times the gradient of your function would be

$-\nabla z = (-2ax , -2by)\\$

Then, at

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So it would go towards

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and to conclude it would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

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3 years ago

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Taya2010 [7]

325 miles total.
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200-95.80
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3 years ago

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motikmotik

16, 24, 32
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3 years ago

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Shkiper50 [21]

X² - 5x - 14 = (x - 7)(x + 2)

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3 years ago

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Diano4ka-milaya [45]

Answer:

x-y=3

Step-by-step explanation:

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2 years ago

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