F(x)=3x translation 5 units up

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

4 0

The image of the function when translated up is f'(x) = 3x + 5

<h3>How to translate the function up?</h3>

The function is given as:

f(x) = 3x

The rule of the function of a translation of 5 units up is represented as;

f'(x) = f(x) + 5

So, we have:

f'(x) = 3x + 5

Hence, the image of the function when translated up is f'(x) = 3x + 5

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If the dimensions of the following cylinder are doubled, what factor will the surface area change by?

AVprozaik [17]

To solve this problem you must apply the proccedure shown below:
1. You have that the radius and the height of the cylinder are:
$r=8 in \\ h=6 in$
2. So, you must calculate the area:
$A1=2 \pi (r+h)$
3. Substitute the values into the formula:
$A1=2 \pi (8 in)(8 in+6in) \\ A1=703.71 in^{2}$
4. When the radius and the height are doubled, you obtain:
$A2=2 \pi (16 in)(16 in+12 in) \\ A2=2814.86 in^{2}$
5. The factor is:
$F=2814.8 in^{2}/703.71 in^{2} \\ F=4$
The answer is: B. $4
$