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Usimov [2.4K]
3 years ago
8

F(x)=x^3+6x^2+x^1/2 and g(x)=x^1/2 find f(x)/g(x)

Mathematics
1 answer:
Simora [160]3 years ago
6 0
Assuming your f(x) = x^3 +6x^2 +x^(1/2) and g(x) = x^(1/2), you have
.. f(x)/g(x) = x^(5/2) +6x^(3/2) +1


____
If an exponent has any arithmetic in it, parentheses are needed around it.
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8 0
3 years ago
[SCREENSHOT INCLUDED] Which of the following is the best estimate of f '(2) based on this table of values?
mel-nik [20]

Using derivatives, it is found that the best estimate of f '(2) based on this table of values is of 10.

The rate of change <u>from x = 0 to x = 2</u> is given by:

r_1 = \frac{2 - (-16)}{2 - 0} = \frac{18}{2} = 9

From <u>x = 2 to x = 4</u>, it is given by:

r_2 = \frac{24 - 2}{4 - 2} = \frac{22}{2} = 11

The average of these rates is:

A = \frac{r_1 + r_2}{2} = \frac{9 + 11}{2} = 10

Hence, the best estimate of f '(2) based on this table of values is of 10.

To learn more about derivatives, brainly.com/question/18590720

6 0
2 years ago
Through: (1,5), perp. to y=-1/10x + 3<br> pls help
Sedbober [7]
First to get the equation you knew to understand one thing about perpendicular lines. The slope of the line is the opposite reciprocal of the perpendicular lines or the new slope is m = 10.

Then you use the formula
y = mx + b
you plug in your values from the point and the new slope.
(1,5) with new slope m
5= 10(1)+b
5-10=b
-5 = b
then make your new equation
y = 10x -5
that's your line that goes through point (1,5) and is perpendicular to the line given
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