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MissTica
4 years ago
5

Find direction numbers for the line of intersection of the planes x + y + z = 7 and x + z = 0. (enter your answers as a comma-se

parated list.)
Mathematics
1 answer:
yanalaym [24]4 years ago
6 0

The line of intersection has a direction vector that is the cross product of the normal vectors of the given planes.

... [1, 1, 1] × [1, 0, 1] = [1, 0, -1] . . . . . . using a suitable calculator


The direction numbers of the line of intersection are (1, 0, -1).

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Step-by-step explanation:

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Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]
MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

f(x)=2x+\sin (4x)

Now on differentiating both side with respect to x we get that:

f'(x)=2+4 \cos (4x)

When f'(x)=0

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Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval [0,\pi].

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so on comparing our equation with equation (1) we obtain:

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Hence, the x-coordinates where f'(x)=0 for f(x)=2x+\sin(4x) is \dfrac{\pi}{6}.

5 0
3 years ago
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kramer

Answer: 24

Step-by-step explanation:

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Looking at this value,24 seems to be the lowest,

Therefore the lowest common multiple is 24

5 0
4 years ago
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