Find the derivative of the function <br>y=x^3-8x^2+21x+1

Surface area of a trash can plz show work

ollegr [7]

Answer:

Step-by-step explanation:

So first we need to find the area of the trash can so here is the math:

The formula:

A=LxW

Replace the letters with numbers:

8=2x4

So the area is 8 feet now we can create an equation to solve how much money it would take to make the trash can:

8x0.79=$6.32

It would take $6.32 to make the trash can

6 0

3 years ago

Can you do this because it is confusing to me

erica [24]

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder is 1330.4644 cm³.

<h3>What is a cylinder?</h3>

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

Given the height of the cylinder is 14 cm, while the diameter of the cylinder is 11 cm. Therefore, the volume of the cylinder can be written as,

The volume of the cylinder = (π/4)×(D²) × H

= (π/4)×(11)² × 14

= 1330.5 cm³

Hence, the volume of the cylinder is 1330.5cm³.

Learn more about Cylinder:

brainly.com/question/12248187

#SPJ1

3 0

2 years ago

I need help.. i really want to go sleep.. thank you so much...

Effectus [21]

Answer:

1) True 2) False

Step-by-step explanation:

1) Given $\sum\limits_{k=0}^8\frac{1}{k+3}=\sum\limits_{i=3}^{11}\frac{1}{i}$

To verify that the above equality is true or false:

Now find $\sum\limits_{k=0}^8\frac{1}{k+3}$

Expanding the summation we get

$\sum\limits_{k=0}^8\frac{1}{k+3}=\frac{1}{0+3}+\frac{1}{1+3}+\frac{1}{2+3}+\frac{1}{3+3}+\frac{1}{4+3}+\frac{1}{5+3}+\frac{1}{6+3}+\frac{1}{7+3}+\frac{1}{8+3}$ $\sum\limits_{k=0}^8\frac{1}{k+3}=\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\frac{1}{8}+\frac{1}{9}+\frac{1}{10}+\frac{1}{11}$

Now find $\sum\limits_{i=3}^{11}\frac{1}{i}$

Expanding the summation we get

$\sum\limits_{i=3}^{11}\frac{1}{i}=\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\frac{1}{8}+\frac{1}{9}+\frac{1}{10}+\frac{1}{11}$

Comparing the two series we get,

$\sum\limits_{k=0}^8\frac{1}{k+3}=\sum\limits_{i=3}^{11}\frac{1}{i}$ so the given equality is true.

2) Given $\sum\limits_{k=0}^4\frac{3k+3}{k+6}=\sum\limits_{i=1}^3\frac{3i}{i+5}$

Verify the above equality is true or false

Now find $\sum\limits_{k=0}^4\frac{3k+3}{k+6}$

Expanding the summation we get

$\sum\limits_{k=0}^4\frac{3k+3}{k+6}=\frac{3(0)+3}{0+6}+\frac{3(1)+3}{1+6}+\frac{3(2)+3}{2+6}+\frac{3(3)+4}{3+6}+\frac{3(4)+3}{4+6}$

$\sum\limits_{k=0}^4\frac{3k+3}{k+6}=\frac{3}{6}+\frac{6}{7}+\frac{9}{8}+\frac{12}{8}+\frac{15}{10}$

now find $\sum\limits_{i=1}^3\frac{3i}{i+5}$

Expanding the summation we get

$\sum\limits_{i=1}^3\frac{3i}{i+5}=\frac{3(0)}{0+5}+\frac{3(1)}{1+5}+\frac{3(2)}{2+5}+\frac{3(3)}{3+5}$

$\sum\limits_{i=1}^3\frac{3i}{i+5}=\frac{3}{6}+\frac{6}{7}+\frac{9}{8}$

Comparing the series we get that the given equality is false.

ie, $\sum\limits_{k=0}^4\frac{3k+3}{k+6}\neq\sum\limits_{i=1}^3\frac{3i}{i+5}$

6 0

3 years ago

HELP PLEASE. Find me the answer

REY [17]

Answer:

y = 3x -1

Step-by-step explanation:

When the given points are dilated by a factor of 1/5 about the origin, each of the coordinate values is multiplied by 1/5. The points after dilation are ...

... (2/5, 1/5), (-1/5, -8/5)

The line through these points can be found starting with a 2-point form of the equation for the line.

... y -y1 = (y2 -y1)/(x2 -x1)·(x -x1)

Filling in the point values gives ...

... y -1/5 = (-8/5 -1/5)/(-1/5 -2/5)(x -2/5)

... y = (-9/5)/(-3/5)(x -2/5) +1/5 . . . . simplify parentheses, add 1/5

... y = 3x -1 . . . . . simplify

_____

The graph shows the original points and the line through them in red, and the dilated points and line in green.

4 0

3 years ago

2 p

aivan3 [116]

Answer:

5:14

Step-by-step explanation:

The ratio of adults to children using the form 1:n would look like this:

number of adults : number of children

So:

5 adults : 14 children = 5:14

5 0

2 years ago

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Find the derivative of the function y=x^3-8x^2+21x+1