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Rina8888
18 days ago
12

Find the derivative of the vector function r(t)=ta×(b+tc), where a=⟨2,−3,4⟩, b=⟨−4,5,−1⟩, and c=⟨−2,−1,5⟩.

Mathematics
1 answer:
lawyer [9.2K]18 days ago
7 0

Answer:

la derivada de la función vectorial dada es = ( -16-22t, 14-36t, -2-16t )

Explicación paso a paso:

datos proporcionados:

función vectorial: r(t) = ta*(b+tc)

a = ( 2,-3.4).   b = (-4,5,-1).  c = ( -2,-1,5)

para determinar la derivada de la función vectorial, se procederá a diferenciar respecto a x; aquí está la solución detallada

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Response:

Her brother catches up to her at 11 am + 4 hours = 15 p.m

Detailed explanation:

Provided information;

Ariel's speed = 45 mph

She departed at 9 a.m

Her brother's speed = 60 mph

He began at 11 a.m

Inferred from the question: Since Ariel's speed is 45 mph, after two hours she is ahead by 90 miles.

Meanwhile, her brother travels at 60 mph, hence he is traveling (60 - 45) = 15 mph faster

Therefore, with this speed, he will catch up to her in \frac{90}{15} = 4 hours.

So her brother catches up with her at 11 am + 4 hours = 15 p.m

4 0
10 days ago
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Gabriel is designing equally sized horse stalls that are each in the shape of a rectangular prism. Each stall must be 9 feet hig
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The total volume is stated as 1080 cubic feet.

The height is specified to be 9 feet.

The length exceeds the width by 2 feet, meaning Length = x+2

If the stall measures 10 feet in width, then the corresponding length would be 10 +2 = 12 feet.

Calculating the volume yields 10 x 12 x 9 = 1080 cubic feet.


Therefore, it is feasible for the width to measure 10 feet.

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6 days ago
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A ladder 25 feet long is leaning against the wall of a building. Initially, the foot of the ladder is 7 feet from the wall. The
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Answer:

Step-by-step explanation:

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17 days ago
Thirty-six of the staff of 80 teachers at a local intermediate school are certified in Cardio-Pulmonary Resuscitation (CPR). In
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Answer:

In approximately 81 days, it is likely that the teacher on bus duty will be certified in CPR

Step-by-step explanation:

The probability of a teacher obtaining certification in Cardio-Pulmonary Resuscitation (CPR) is as follows:

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Hence

p = \frac{36}{80} = 0.45

In a school year lasting 180 days, how many days can we anticipate that the teacher on bus duty will likely have CPR certification?

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7 0
13 days ago
If bc = 8.3 cd = 6.7 and ad = 11.6 find ab to the nearest tenth
babunello [8412]
This may be a bit awkward to explain in writing, so please bear with me:)

You are given the equations. Begin by focusing on ad = 11.6. Treating variables normally, this reads as a times d = 11.6.
From that, d = 11.6/a by dividing both sides by a.

With d expressed, substitute (11.6/a) into cd = 6.7. Then isolate c by multiplying both sides by a/11.6, yielding c = (6.7a)/11.6.

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4 days ago
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