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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

What is the derivative of sine of pi?

Sine (pi) is a constant, so the derivative of sine (pi) is zero.

What is the square root of a 100?

'10'

Remember 10 x 10 = 100

That is 10^(2) = 100

So square root is the 'inverse function'.

Hence

sqrt(10^(2)) = sqrt(100)

10 = sqr(100)

A laser printer is capable of printing two pages size 911 inch per second at resolutio of 600 pixels per inchhow many bits per second does such device require?

size of page= 911 sq. inches

total pixels in two pages= 2*600*911

= 1093200

just one bit required to store whether pixel has black color or not.

bits per second required by device= 1093200

Hope it helps you!

Shukla Yogesh

How many cubic-meters can 1 person normally consumed in a day?

On average, a person can consume around 2 to 4 cubic meters of water per day for their daily activities such as drinking, cooking, bathing, and sanitation.

What is the value of k in electrostatics?

The value of k in electrostatics represents Coulomb's constant, which is approximately (8.99 \times 10^9 , \text{N m}^2/\text{C}^2). It is used to quantify the strength of the electrostatic force between two charged objects according to Coulomb's Law.

What is the pH of an aqueous solution with the hydronium ion concentration H3O plus equals 2 x 10-14 M?

The pH of the solution can be calculated using the formula pH = -log[H3O+]. Therefore, pH = -log(2 x 10^-14) ≈ 13.7. This means the solution is basic since the pH is above 7.

What is meant by converge and diverge?

Converge means coming together or meeting at a common point, while diverge means branching off or moving apart in different directions. In mathematical terms, if a sequence or series of values approaches a specific number as they progress, they are said to converge. On the other hand, if the values in a sequence or series move further apart or do not approach a specific number, they are said to diverge.

What happen to simple pendulum at lowest point of its swing?

At the lowest point of its swing, a simple pendulum's velocity is at its maximum, and its potential energy is at its minimum. The kinetic energy is at its highest since the pendulum has the highest speed.

What happens to the acceleration of a simple pendulum as it approaches the lowest point of its swing?

The velocity reaches a maximum, and the pendulum will begin to decelerate. Because the acceleration is the derivative of the velocity, and the derivative at the location of an extrema is zero, the acceleration goes to zero.

What was the relationship between Isaac Newton and Gottfried Leibniz?

Isaac Newton and Gottfried Leibniz were both prominent mathematicians and physicists during the 17th century. They independently developed calculus, leading to a bitter dispute over who had priority in its invention. This controversy, known as the "calculus priority dispute," strained their relationship and tarnished their legacies.

What did Newton and Leibniz do?

Amongst other things they independently invented calculus. Newton probably made the first discovery, but delayed publishing for many years. Leibniz also held off publishing for a long time, waiting, apparently for Newton to do it. Eventually Leibniz published anyway. They became bitter rivals.

5 mm is how many inches?

There are 25.4 mm in 1 inch, therefore 5 mm = .2" (actually a hair less)

Direct Conversion Formula5 mm*

1 in

25.4 mm

=

0.1968503937 in

What is produced when you slice a cone with a plane that is parallel to the base of the cone?

That conic section is a circle.

When you slice a cone with a plane parallel to the base of the cone, the sliced section is a circle, and the portion of the original cone on the side of the vertex is again a cone.
An isosceles cone would be the out come

More differences between simple harmonic motion and periodic motion with practical examples?

Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. Practical examples include a swinging pendulum or a mass-spring system. Periodic motion, on the other hand, refers to any repeated motion that follows the same path at regular intervals, such as the motion of a wheel rotating. So, while all simple harmonic motion is periodic, not all periodic motion is necessarily simple harmonic.

What is 76 cm in inches?

Well, let's think about this in a happy little way. To convert centimeters to inches, we can remember that 1 inch is equal to 2.54 centimeters. So, if we have 76 centimeters and we divide that by 2.54, we find that it's approximately 29.92 inches. Just imagine all the beautiful things you could measure with that length!

Ten cm equals how many inches?

One centimeter is approximately equal to 0.3937 inches. Therefore, 10 centimeters is roughly equal to 3.937 inches.

What is 8x -9 equals 9x -5?

8x - 9 = 9x - 5

8x - 8x - 9 = 9x - 8x - 5

-9 = x - 5

-9 + 5 = x - 5 + 5

-4 = x

What is a times x minus b equals c for x?

ax - b = c

Add 'b' to each side:

ax = b + c

Divide each side by 'a':

x = (b + c) / a