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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.

500 Questions

What is 32 x 5?

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Asked by Wiki User

32 x 5 = 160 is a multiplication equation.

If x equals 0 and y equals 1 what is the value of xy?

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Asked by Wiki User

"xy" refers to the product of "x" and "y". Just substitute the variables for numbers, and do the multiplication.

What are the solutions to the simultaneous equations of 2x -3y equals 4 and 5x plus 2y equals 1?

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Asked by Wiki User

Equations: 2x-3y = 4 and 5x+2y = 1 Multiply all terms in 1st equation by 5 and all terms in 2nd equation by 2:- So: 10x-15y = 20 and 10x+4y = 2 Subtract the 2nd equation from the 1st equation: -19y = 18 => y = -18/19 By substitution the solutions are: x = 11/19 and y = -18/19

How do you solve for x in 16x equals 4?

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Asked by Wiki User

Divide by 16, which gives you x=4/16

The 4/16 cancels down to 1/4.

Where on a graph is the inverse of f of x located?

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Asked by Wiki User

To find the slope-intercept form of the given line (4x - 2y + 1 = 0), we need to solve for (y).

[4x - 2y + 1 = 0]

Subtract (4x) and add (1) to both sides:

[-2y = -4x - 1]

Divide both sides by (-2) to isolate (y):

[y = 2x + \frac{1}{2}]

Now, the equation is in the slope-intercept form (y = mx + b), where the slope (m) is (2) and the y-intercept (b) is (\frac{1}{2}). So, the slope is (2) and the y-intercept is (\frac{1}{2}).

What is 4x times x ²?

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Asked by Wiki User

4x * x = 4x^2

What is 4x equals 20?

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Asked by Coolahmed2765

4x = 20

x = 5 (divide both sides by 4)

6x - 5 plus 2x equals 11?

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Asked by Wiki User

6x - 5 + 2x = 11

6x + 2x - 5 = 11

8x - 5 = 11

Add 5 to each side:

8x = 16

Divide each side by 8:

x = 2

What is 500 X 100 equals?

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Asked by Wiki User

Simply add 2 zeros to the end of 500. So 500x100=50,000.

What is the mean of the first 100 digits of pi?

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Asked by Wiki User

3.14159265358979323864062384626238832795028841971693939937510582097494459230781640628620898628034825342117067

These are the hundred digits of pi

What is x squared plus 4x minus 12?

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Asked by Wiki User

x^2 + 4x - 12

Is a Quadratic Equation.

It will factor to

( x + 6)(x - 2)

When is acceleration constant?

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Asked by Wiki User

We have constant acceleration all the time.

Its called gravity.

Gravitational acceleration is 9.8... m/s^2

Is y equals x2 a nonlinear equation?

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Asked by Wiki User

If you mean y = x2, then yes, it is nonlinear.

What are some of the solutions to 3y-2x equals 14?

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Asked by Wiki User

yes

plug it in

3y-2x=14

3(2)-2(-4)=14

6+8=14

14=14

What is the application of differentiation in real life?

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Asked by Wiki User

Differentiation has various applications in real life. For example, in economics, it helps determine the marginal cost and revenue functions, which are essential for maximizing profit. In physics, it is used to calculate rates of change of quantities like velocity and acceleration. In medicine, differentiation is used to determine the rate at which a tumor is growing.

How do you predict the period of the pendulum if the length of string was 24cm?

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Asked by Wiki User

To predict the period of a pendulum, we can use the equation T = 2π√(L/g), where T is the period, L is the length of the string, and g is the acceleration due to gravity. Plugging in L = 24cm (or 0.24m) and g = 9.8 m/s², we can calculate the period using this equation.

What are some periodic functions?

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Asked by Wiki User

Some examples of periodic functions include sine and cosine functions, square wave functions, and sawtooth wave functions. These functions repeat themselves over a given interval, called the period, and have the same values at regular intervals.

What is heavier a pound of feathures or a pound of books?

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Asked by Wiki User

They are both equally heavy, as they both weigh one pound. The weight of an object is determined by its mass, and in this case, both the pounds of feathers and the pounds of books have the same mass of one pound.

Why is Vertical integration not easy to accomplish?

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Asked by Wiki User

Vertical integration is not easy to accomplish because it involves the merging or acquisition of companies in different stages of the supply chain. This requires significant financial resources and managerial expertise to successfully integrate and manage multiple business functions. Additionally, vertical integration can also lead to increased complexity and risk, as companies may face challenges in coordinating different operations and adapting to different industry dynamics.