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3 years ago

How to find derivative of a function at a given point?

Mathematics

1 answer:

seraphim [82]3 years ago

4 0

Fill in the point values in the formula for the derivative.

____

<u>Example</u>

y = x^2 + 3x . . . . . we want y' at (x, y) = (1, 4)

y' = 2x +3 . . . . . . . take the derivative dy/dx of the function

Fill in the value x=1 ...

y' = 2·1 +3 = 5

The value of the derivative at (x, y) = (1, 4) is 5.

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Katie is planting a garden for her science fair project. She needs 2/3 of a cup of soil to go in 8 different pots. How many cups

astraxan [27]

2/3 * 1/8 = 2/24 = 1/12

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4 years ago

Craig threw a handful of identically shaped buttons into the air then collected 14 bottoms that landed on the carpet. Is this sa

olga55 [171]

Answer:

possible?? but I think that there is a typo, and that there would not be a bias

Step-by-step explanation:

can we assume that there are no typos in the question

he threw BUTTONS in the air, and look at buttons that landed with the BOTTOMS facing up ??? in that case the weight might bias the orientation of the landing... I think that you have a typo and it just says that he collected 14 BUTTONS, in that case given that they are "IDENTICAL" we most likely can assume that there would be no bias (size color, texture are all the same)

8 0

3 years ago

the radius of a circle is 5 meter what is the area,in square meter,of circle? Round to the nearest tenth

Slav-nsk [51]

Answer:

78.54 rounded to the tenths it is 78.5

Step-by-step explanation:

I did the math. And I did my work like this

5*5=25

25*pi=78.5398163

Rounded to hundredths 78.54

Rounded to tenths 78.5 Hope this helps, let me know if correct, and have a great day!!

6 0

3 years ago

Read 2 more answers

Solve pls brainliest

polet [3.4K]

Answer:

16/9

Step-by-step explanation:

$(\frac{4}{3})^2=\frac{4^2}{3^2}=\frac{16}{9}$

5 0

2 years ago

A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per

Art [367]

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by $h(t) = -16\cdot t^{2}+12\cdot t +10$ , where $h(t)$ is the height in feet and $t$ , the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

$-16\cdot t^{2}+12\cdot t +10 = 10$

$-16\cdot t^{2}+12\cdot t = 0$

Then, we simplify the expression by algebraic means:

$-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0$

Roots of the polynomial are, respectively:

$t = 0\,s\,\lor \,t = 0.75\,s$

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

5 0

3 years ago