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Calculus

The branch of mathematics that deals with the study of continuously changing quantities, with the use of limits and the differentiation and integration of functions of one or more variables, is called Calculus. Calculus analyzes aspects of change in processes or systems that can be modeled by functions. The English physicist, Isaac Newton, and the German mathematician, G. W. Leibniz, working independently, developed calculus during the 17th century.

25,068 Questions

How many solutions will a system of equations have if the graphs of the lines intersect?

A system of equations will have one solution if the graphs of the lines intersect. This is because the lines intersect at a single point. Let's say that point is (a, b). The x = a, y = b is the one and only solution for the system.

What is 88 x 99?

Well, isn't that a happy little math problem! To find the answer, you can multiply 88 by 100 and then subtract 88 from that result. So, 88 x 100 = 8800, and 8800 - 88 = 8712. There you go, a beautiful answer just waiting to be discovered!

How many 18 mm plywood sheets will do in a cubic meter?

To calculate the number of 18 mm plywood sheets in a cubic meter, we first need to determine the volume of one sheet. The volume of one sheet can be calculated by multiplying its dimensions (typically 4 feet by 8 feet) by the thickness (18 mm). Once we have the volume of one sheet, we can then divide the volume of a cubic meter (1000 x 1000 x 1000 cubic mm) by the volume of one sheet to find the number of sheets that will fit in a cubic meter.

Is the square root of negative 3 an irrational or a real number?

Neither. All irrational numbers are real numbers.
Using the real number system you can't take the square root of a negative number, but if you're dealing with imaginary numbers then the square root of negative 3 is the square root of 3i

What is 0.4 x 10 equals?

To calculate 0.4 multiplied by 10, you simply move the decimal point of 0.4 one place to the right, resulting in 4. Therefore, 0.4 x 10 equals 4.

What is 7X plus 8?

The expression 7X + 8 represents a mathematical operation where the variable X is multiplied by 7 and then 8 is added to the result. The expression cannot be simplified further without knowing the specific value of X. If X is a known value, you can substitute it into the expression to find the numerical result.

What is the solution to the equation y equals -2.5?

The equation y = -2.5 represents a horizontal line on the Cartesian plane passing through the point (-2.5, 0). This line is parallel to the x-axis and has a slope of 0. The solution to this equation is all real numbers on the y-axis that have a value of -2.5.

What is the domain and range for the function 3sin2x?

The domain of f(x)=3sin(2x) is all real numbers

----Any number can be input into this function and receive a valid output

The range of f(x)=3sin(2x) is [-3,3]

----The range of y=sin(x) is [-1,1] frequency modulation, which happens when the argument of a sine function is modified, does not affect the range of a cosine or sine function, so the range of y=sin(2x) is also [-1,1]. Amplitude modulation, which happens when the entire function is multiplied by a numerical constant, does affect the range. If any number put into y=sin(2x) will output a maximum of 1, the most an input can cause in y=3sin(2x) will be 3 times the maximum of y=sin(2x), and the same for the minimums, so the range of y=3sin(2x) is from -3 to 3.

If you would like a more complete explanation of the concepts underlying domain and range of functions, message me and I can more completely explain them.

What is 3 liters equal to?

Please clarify what you want to convert that to. A liter is a unit of volume; you can convert that to other units of volume. For example, to convert to cubic meter, divide by 1000; to convert to cubic centimeters, multiply by 1000.

What is 3 x 10 to the 9th power equal to?

Well, darling, 3 multiplied by 10 raised to the 9th power equals 3 billion. So, if you're feeling like a math wizard today, that's the magic number you've been looking for. Now go forth and conquer the world with your newfound knowledge!

Solve the inequality h-2 5 is less than or equal 14?

h - 25 =< 14

Add '25' to both sides

h =< 14 + 25

h =< 39

NB Treat Inequalities like an 'Equals' except when multiplying negative numbers or fractions, whereupon , turn the sign around.

Verificstion

When h = 38

Substitute

38- 25 = 13 which is less than 14. as required.

When h = 40

40 - 25 = 15 > 14 So NOT True.

What is the derivative of cos pi x?

By the 'Chain Rule'

dy/dx = dy/du X du/dx

Y = Cos (pi*x).

Let pi*x = u

Y = Cos(u)

u = pi*x

dy/du = -Sin(u)

du/dx = pi

Hence

dy/dx = dy/du X du/dx => ( Chain Rule)

dy/dx = -Sin(u) X pi

Substitute u for pi*x

Hence

dy/dx = -Sin(pi*x) X pi

Tidying up

dy/dx = -piSin(pix) Done!!!!

What is the sin pi over 2?

Sine(pi/2) = 1

This is 'Radian' measure of an angle.

pi/2 radians = 90 degrees.

When you see something like 'Sine(pi/2)' make sure your calculator is in RADIAN mode. ' NOT degree mode.

How many thousands equal a million?

One million is one thousand multiplied to one thousand.

1000^(2) = 1000 x 1000 = 1,000,000

A guinea is equal to what?

A guinea, in UK currency, was worth 21 shillings or 1 pound and 1 shilling.

What is x2 minus 36 factorised?

x^(2) - 36 =

x^(2) - 6^(2)

Remember two squared terms , as above, with a NEGATIVE between them can factor to

(x - 6)(x + 6)

NB

#1 ; The different signs in the brackets.

#2, Two squared terms with a POSITIVE (+) between them, does NOT factor.

#3 ; Inspect the constant, to see if it is a squared number ; 36 = 6^(2) in this case.

What is the natural log of 100?

Well, isn't that a happy little question! The natural log of 100 is approximately 4.605. Just like painting a beautiful landscape, math can also create its own kind of beauty. Keep exploring the wonders of numbers and you'll uncover even more delightful surprises along the way.

What is 7926 x 4?

The product of 7926 multiplied by 4 is 31,704. This can be calculated by multiplying the units digits first (6 x 4 = 24) and carrying over the tens place to the tens digit (2 x 4 = 8, plus the carried over 2 = 10). Then, multiply the tens digits (2 x 4 = 8) and add the carried over 1 from the previous step. Finally, multiply the hundreds digit (9 x 4 = 36) and add any carried over values.

Two times what equals nine?

im really sorry but this is the stupidest question question i have ever heard. if you are over 8 years old you should know how to do this. please learn basic math before asking some idiotic questions.

9/2... hope that helped.

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9 is an odd number (1,3,5,7,9,11 etc), odd numbers can not be divided by 2 exactly so you are always left with (0.5).

so 9/2=4.5

So the answer to your question is that 2 times 4.5=9

from bre2552: don't listen to him i f you dont know the answer then you need to fine someone else this website suppose to help not critize idiot fool

What is an example of irrelevant goals or functions?

You want me to run three times a day, but how will that help me to make new friends?

What is 365 x 40?

365 x 40 is equal to 14,600. This can be calculated by multiplying 365 by 40, which is the same as adding 365 forty times. In other words, it represents the total when you have 365 groups of 40 items each.

How do you factorise 8x plus 12?

first you divide both sides by 2 then add brackets in front of the number:

  1. divide 8x+12= 4 and 6 divide again = 4 and 2 and 3

  2. add brackets= 4{2x=3}

Hope This Helped