What does number tripled mean? ?

Mathematics

2 answers:

grin007 [14]3 years ago

6 0

To make three times as much.

Musya8 [376]3 years ago

5 0

That means you multiply the number by 3

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In how many ways can 5 students be seated in a row of 5 chairs if jack insists on sitting in the first chair

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I believe the answer would be 8 because jack will not move

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4 years ago

What are the partial products of 42times28

Lilit [14]

Answer:

Step-by-step explanation:

42 × 48

(40 + 2) × (40 + 8)

40 × (40 + 2) = (40 × 40) + (40 × 2) = 1600 + 80 = 1680

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Then 1680 + 336 = 2016

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3 years ago

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2 years ago

(problem 83)

AVprozaik [17]

To find the derivative of this function, there is a property that we should know called the Constant Multiple Rule, which says:

$\dfrac{d}{dx}[cf(x)] = cf'(x)$ (where $c$ is a constant)

Remember that the derivative of $\csc(x)$ is $-\csc(x)\cot(x)$ . However, you may notice that we are finding the derivative of $\dfrac{1}{2}\csc(2x)$ , not $\dfrac{1}{2} \csc(x)$ . So, we are going to have to use the chain rule. To complete the chain rule for the derivative of a trigonometric function (in layman's terms) is basically the following: First, complete the derivative of the trig function as you would if what was inside the trig function is $x$ . Then, take the derivative of what's inside of the trig function and multiply it by what you found in the first step.

Let's apply that to our problem. Right now, I am not going to worry about the $\dfrac{1}{2}$ at the front of the equation, since we can just multiply it back in at the end of our problem. So, let's examine $\csc(2x)$ . We see that what's inside the trig function is $2x$ , which has a derivative of 2. Thus, let's first find the derivative of $\csc(2x)$ as if $2x$ was just $x$ and then multiply it by 2.

The derivative of $\csc(2x)$ would first be $-\cot(2x)\csc(2x)$ . Multiplying it by 2, we get our derivative of $-2\cot(2x)\csc(2x)$ . However, don't forget to multiply it by the $\dfrac{1}{2}$ that we removed near the beginning. This gives us our final derivative of $-\cot(2x)\csc(2x)$ .

Remember that we now have to find the derivative at the given point. To do this, simply "plug in" the point into the derivative using the x-coordinate. This is shown below:

$-\cot[2(\dfrac{\pi}{4})]\csc[2(\dfrac{\pi}{4})]$