Calculus

What my people tell me is that, on a plastic lid it last about 1 hr. and 42 minutes.
That depends on the volume of the ice cube, the surface area (determined by the shape), how much heat you have available and in what form.

81

To find the CUBE root , we note that 27 is 3^(3) . So '3' is the cube root of '27'.

Also 8 = 2^(3) . so '2' is the cube root of '8'.

So the cube root of 26 is between '2' & '3'.

Since it is very close to '3' ; (by 26 & 27) they we can try 2.9^3

2.9^(3) = 24.389 (2.9 is too low) So try 2.95

2.95^(3) = 25.67.. ( Still too low) Try 2.975

2.975^(3) = 26.333 .. ( Now too high) So try 2.97

2.97^(3) = 26.198 ( Too high Try 2.968

2.968^(3) = 26.145... (Too high ; try 2.965

2.965^(3) = 26.065... (Too high : try 2.964

2.964^(3) = 26.0396 (Too high )

You keep trying like this. Until you find the root to the required number of decimal places.

However on the calculator 26^(1/3) = 2.962496068....

3

y = 2sin(x)?

If that's your function, well we know that sin(x) oscillates between y = 1 and y = -1, but in our case we have double that from 2sin(x), so our range is -2 to 2.

y^(3) - 2y^(2) + 4y

Factor out 'y'

Hence y(y^2 - 2y + 4)

This will not factor any further.

x^(2) = 5x + 2

x^(2) - 5x - 2 = 0

This does NOT factor so apply the Quadratic Eq;n

x = { - - 5 +/- sqrt[(-5)^2 - 4(1)(-2) }} / 2(1)

x = { 5 +/- sqrt[25 + 8]} / 2

x = { 5 +/- sqrt(33)} / 2

x= { 5 +/- 5.7445... } / 2

x = 10.7445... / 2 = 5.37228....

&

x = -0.7445626... / 2 = -0.37228...

because its zero

NO!!!

Sine40 = Cosine50 = 0.64278...

Sin30 = Cos 60 = 0.5

Sin 0 = Cos 90 = 0

Sin 90 = Cos 0 = 1

From Latin the word 'Sine' means 'curve'. Cosine means 'Complimentary Sine' or Complimentary curve'.

The 'awkward' decimal numbers are based on a the radius of a circle, that radius being the hypotenuse of a right- triangle based at the circles origin/centre.

y^2 + 4y + 4 = 7

Hence

y^2 + 4y -3 = 0

Apply the Quadratic Eq'n

y = { - 4 +/- sqrt[(4)^(2) - 4(1)(-3)]} / 2(1)

y = { -4 +/- sqrt[ 16 + 12]} / 2

y = { 4 +/- sqrt(28)]}/ 2

y = {4 +/- 5.2915....} /2

y = 9.2915/// / 2 = 4.64575....

&

y = -1.2915... / 2 = -0.64575....

well it could be anything, but I think you are thinking of Pythagoras' theorem.

a(2) x b(2) = c(2) (2) = squared

the ratio 8:19 and the qoutient is 2 and the percent is 30

If the population of a country increases by 2.5% yearly, then that is a multiplicative factor of 1.025. Between 1960 and 2000, there are 40 years, so raise that factor to the power to 40, 1.02540, and you get 2.685. If the starting population in 1960 were 25 million, then, with a population growth of 2.5% per year, the population in 2000 would be 2.5 million times 2.685, or 6.7 million.

There are 24 hours in a day and 60 minutes in an hour. So,

24 * 60 = 1440 minutes in a day

================================================you can figure out othe month lengths yourself now

x0.5 is the same as x1/2

Any number or variable to a fraction power can be written as a form of a radical.


In this case it would be written as √(x)


To actually solve you would need to know what x is.

1. Philadelphia City Hall: Represents Second Empire style.
2. Eastern State Penitentiary: Represents Gothic Revival style.
3. Reading Terminal Market: Represents Victorian style.
4. Comcast Center: Represents contemporary modern style.
5. Philadelphia Museum of Art: Represents Greek Revival style.

In Britain, around 60% of independent schools and 15% of state schools offer lessons in Classics, including Latin.

In 2008:

- over 130,000 students in the US took the National Latin Exam.

- around 3 dozen schools in New York City taught Latin

In 2009, 7 schools in Washington State offered Latin.

x^(3) = 5.1231010

Take the cube root

Hence

x = 5.231010^(1/3)

x = 1.735915243

Pre-calculus honors covers more advanced topics than algebra 2, such as trigonometry and limits. To prepare, focus on strengthening your algebra skills, particularly with functions, graphs, and equations. Additionally, familiarize yourself with trigonometric functions and properties to ease the transition.

Ada had no job, after her father died when she was nine years of age, her mother tried to force her into slavery. Ada fought it for quite a while, until there was no use. Her aunt from her fathers side, took her and turned her into a slave, used to fix other computers, with that and the knowledge she had with math, she learned how to make a program for her computer. As soon as she made one, she fled the country to become famous. And died at the age of 36, because she had a bad case of measles. :) Your welcome!

Calculus, like any math, is best learned by practice. You can use a Study Deck - see the link to learn how to make and use one! - for the formulae and definitions, but the key to learning is to work problems until you really understand it.

To find the area of the Norman window, you need to divide the perimeter by 2 to get the width of the rectangle, which is 22.5 feet. The radius of the semicircle is half of the rectangle's width, so it's 11.25 feet. The area of the rectangle is 11.25 * 22.5 = 253.13 square feet, and the area of the semicircle is 0.5 * pi * 11.25^2 = 198.93 square feet. So, the total area of the window is 253.13 + 198.93 = 452.06 square feet.

Yes, a piecewise graph can represent a function as long as each piece of the graph passes the vertical line test, meaning that each vertical line intersects the graph at most once. This ensures that each input has exactly one output value.