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n200080 [17]
4 years ago
8

Write an algebraic expression that describes the relationship between the input and output values

Mathematics
1 answer:
ladessa [460]4 years ago
6 0
I'm talking about he table for the number of students. Because each top number, if divided by 6, equals the number below, I would write the expression:
x is the number of students and y is the number of study groups:

x/6=y
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Find the limiting value using L hospital​
viktelen [127]

Answer:

  -1

Step-by-step explanation:

The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.

  d(log(x))/dx = 1/(x·ln(10))

  d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))

Then the ratio of these derivatives is ...

  lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x

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At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.

  d(-sin(x)cos(x))/dx = -cos(2x)

  dx/dx = 1

so the limit is ...

  lim = -cos(2x)/1

  lim = -1 when evaluated at x=0.

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I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.

5 0
3 years ago
Calculate the volume of the following object:
frozen [14]

Answer:

262.44 cubic metres.

Step-by-step explanation:

First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.

pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.

Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.

137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.

Hope this helps!

3 0
3 years ago
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arsen [322]

Answer:

8/25 it the answer

Step-by-step explanation:

3 0
3 years ago
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Brrunno [24]

Answer:

18 miles run


Step-by-step explanation:


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Which values should you plot to show a linear relationship?
BigorU [14]

Answer:“ C ”

“month” on the x axis and “log” on the y axis

3 0
3 years ago
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