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2 years ago

61-63 Sketch the region bounded by the given curves and find the area of the region.

1 answer:

8 0

The area of the region is 0.193 square units for the region bounded by the curves and find the area of the region.

<h3>What is integration?</h3>

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

To find the area of the bounded region by the curves(refer to attached picture):

$\rm A= \int\limits^2_1 {(\frac{1}{x}-\frac{1}{x^2}) } \, dx$

After solving:

A = 0.193 square units

Thus, the area of the region is 0.193 square units for the region bounded by the curves and find the area of the region.

Learn more about integration here:

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Factor linear expression 3c-9

Dafna1 [17]

We immediately note that 3 and 9 are multiples. Therefore, they are factorable. 9 goes into 3 three times, and 3 goes into three 1 time. Therefore, we can take out three from the whole expression to get 3(c - 3).

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2 years ago

Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer

Vikentia [17]

Answer:

Linear approximation is given by: $y = \frac{x}{5}+2$

Step-by-step explanation:

We are given the following information in the question:

Number of citations: 5 7.5 10 15 20

Outputs Residuals: 3 6 10 5 6

We have to find the linear approximation of the data that passes through the points (5, 3) and (20, 6).

Linear approximation is given by:

The equation of line is given by:

$(y-y_1) = \displaystyle\frac{y_2-y_2}{x_2-x_1}(x-x_1)$

where, $(x_1,y_1), (x_2.y_2)$ is the point through which the line passes.

The equation of line is:

$(y-3) = \displaystyle\frac{6-3}{20-5}(x-5)\\\\15(y-3)= 3(x-5)\\15y = 3x-15+45\\15y = 3x + 30\\y = \frac{x}{5}+2$

The above equation is the required linear approximation.

8 0

2 years ago

I need help with number 26 too

emmasim [6.3K]

So if one bag has 8 apples and each apple weights 5 ounces then the whole bag weights 40 ounces (8*5).

But now you have 2.5 bags so multiply (8*5) by 2.5.

Expression is 8*5*2.5

3 0

3 years ago

If 8' - 18Y+2. what is the value of y?

motikmotik

Step-by-step explanation:

8 = -18y + 2

6 = -18y

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3 years ago

Simplify: log base 3 (1/3) ...?

yarga [219]

The answer is 1.

$log_3( \frac{1}{3} )$
_____
Since $log_y(x) = \frac{log_{10}(x)}{log_{10}(y)}$ , then: $log_3( \frac{1}{3} )= \frac{log_{10} ( \frac{1}{3}) }{log_{10}(3)}$
_____
Since $\frac{1}{x} = x^{-1}$ , then: $\frac{log_{10} ( \frac{1}{3}) }{log_{10}(3)} = \frac{log_{10}(3^{-1} )}{log_{10}(3)}$
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Since $log x^{a} =a*logx$ , then: $\frac{log_{10}(3^{-1} )}{log_{10}(3)}= \frac{-1*log_{10}(3)}{log_{10}(3)}$

From here: $\frac{-1*log_{10}(3)}{log_{10}(3)}=-1*\frac{log_{10}(3)}{log_{10}(3)}=-1*1 = -1$

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2 years ago