0
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 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.
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.
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.
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
In what year did Minnesota win the NIT tournament?
Minnesota won the NIT tournament in the year 2014.
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.
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.
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
Why was Newton outraged when in 1684 German mathematician Wilhelm Leibniz published a calculus book?
Both had been working on similar ideas - on calculus - and Newton, who was considered by some contemporaries to be rather an arrogant man, was not amused to see someone else steal his thunder!
Why is 1000cm squared equals 1m squared?
1000 cm squared is 1000 cm x 1000 cm = 1,000,000 cm2
1 meter is 100 cm
1 meter squared is 100 cm x 100 cm = 10,000 cm2
The two are not equal
How many milliliters are equal to cubic meters?
1 cubic meter = 1000 liter = 10 6 cubic centimeter
1 liter = 1000 milliliter
1 cubic meter = 10 6 milliliter
8000 meters x 20 meters equals how many cubic meters?
meters times meters will give you square meters, not cubic meters. You can't convert from square meters to cubic meters.
Limits in calculus are used for two different, and important, areas. First, the derivative: the slope of a curve in a graph (practical applications include determining the instantaneous velocity) is defined as a limit. Second, the integral: the area under a curve in a graph is also defined as a limit.
