What is the application of differentiation in real life?
It's mainly used in physics, engineering, statistics, economics, etc.
The main physics example is this:
Assuming that s is distance, v is velocity, and a is acceleration, the following is true:
s(t)=v'(t)=a''(t) (where t is time)
How do you predict the period of the pendulum if the length of string was 24cm?
The period of a pendulum (for very small swings) can be estimated as ...
T = 2 pi (L/G)0.5
... so, plugging in 0.024 m for L, and 9.81 m s-2 for G, we get L = 0.31 seconds.
What are some periodic functions?
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?
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?
business strategies are influenced by human resource strategies as well as
having influence on them. Thus, the process of achieving vertical integration is a little like trying to
decide which comes first ,the theoretical approach suggests drawing up a
matrix where each of the elements of human resource management (structure, resourcing, human
resource development, performance management, reward and employee relations) are matched
against each business strategy in order to identify which of the human resource strategies are
associated which various elements of business strategy. In reality, business strategies might not be so
clearly defined or may be 'emerging',
The differential equation of the family of straight lines y equals mx is?
The differential equation of the family of straight lines y = mx is given by dy/dx = m. This equation represents that the slope of the line at any point is equal to the constant m. Different values of m will yield different lines within the family.
What is enterprise integration used for?
"Enterprise integration is used for providing information timely and appropriately between computers, machines and people. Information from enterprise integration models allow users to access ever changing situations safely and appropriately"
Who was the original discoverer of Calculus?
Calculus was independently discovered by Sir Isaac Newton and Gottfried Wilhelm Leibniz in the late 17th century. Newton developed his own system of calculus called "fluxions" and "method of fluents," while Leibniz developed his system of calculus based on differentials and integrals. Both their work laid the foundation for modern calculus.
The integral of x^5 is (1/6)x^6 + C, where C is the constant of integration.
Will a pendulum time period increase or decrease when taken to the top of the mountain?
The time period of a pendulum will increase when taken to the top of a mountain. This is because the acceleration due to gravity decreases at higher altitudes, resulting in a longer time for the pendulum to complete each oscillation.
What is the derivative of xy-2y equals 1?
by implicit differentiation you have
y+x*dy/dx-2dy/dx=0
solving for dy/dx you'll have
dy/dx=y/(2-x)
and solving for y in the original equation and plugging it back in, you'll get
dy/dx=1/(-x^2 +4x-4) which is your final answer
How can you integrate a three variable functions?
Assuming you are integrating with respect to one of the three variables, you integrate normally. For example:
∫(x+y+z)dx
= ∫ x dx + ∫ y dx + ∫ z dx (Integral of the sum is the sum of the integrals)
= x^2/x + yx + zx + C
Or a harder one:
∫ (sin^2(y)+sqrt(z))/x dx
= (sin^2(y) + sqrt(z))*∫ 1/x dx (Factor out constants)
= ln(x)*(sin^2(y) + sqrt(z))
tl;dr: just do it normally with normal integration rules
Is appropriation an original or derivative method of acquiring ownership?
Appropriation is an orignal method of acquiring ownership.
The other methods in this category are: accession, mixing of solids or fluids, manufacturing, acquisition of fruits, treasure trove, expropriation and lastly, prescription.
Case law reference
(i) R v Mafohla 1958 (2) SA 373 (SR)
(ii) Reck v Mils 1990 (1) SA 751 (A)
Definition Appropriation: occupatio is the unilateral taking of physical control of a thing not belonging to anyone but with the intention of becoming the owner
ye you can, but be careful i made the same mistake and ended up taking functions and applications "mixed math" and ended up realizing that most university programs require adv. functions or cal and vect as a pre. req.
So if i were you look into the program you are applying into and check what courses you need
What you call the point when a curve changing from concave upward to concave downward?
The point when a curve changes from concave upward to concave downward is called the inflection point. It is the point where the curve transitions from being curved "upwards" to being curved "downwards" or vice versa. At the inflection point, the rate of change of the curve's curvature changes sign.
How do you calculate the periapsis from an initial velocity and distance relative to a body?
To calculate the periapsis, you need to know the initial velocity and distance relative to a central body. The periapsis is the point of closest distance in an orbit. One way to calculate it is by using the specific orbital energy equation, which is the sum of the gravitational potential energy and the kinetic energy: ε = -(GM) / (2a), where ε is the specific orbital energy, G is the gravitational constant, M is the mass of the central body, and a is the semi-major axis of the orbit. The periapsis can then be determined by subtracting the distance relative to the central body from the semi-major axis.
x^(2) + 14x = -5
x^(2) + 14x + 5 = 0
This is now in quadratic form .
It does NOT factor so use the Quadratic Eq;n.
x = { -14 +/-sqrt[(14)^2 - 4(1)(5)]} / 2(1)
x = { -14 +/- sqrt[196 - 20]} / 2 049
x = { -14 +/- sqrt[176] } / 2
x = { -14 +/- 13.266499...} / 2
x = -27.266499... / 2 = 13.633249
&
x = -0.733500838.../2 = -0.366750419...
An INFINITE number.
Computers have calculated 'pi' to billions of places and still going.
However for everyday school learning pi = 3.14 or pi = 22/7 . For more accurate calculations pi = 3.1416 . This is used in science, technology and engineering.
log_a (b) [in words - log a of b], is like asking - what power of a equals b.
For example:
log_10 (100) = 2 because 10^2 = 100
log_2 (16) = 4 because 2^4 = 16
What is the conjugate of 11 plus 17i?
11 + 17i is an IMAGINARY number. .
Its conjugate is 11 - 17i
NB Note the change of sign only.
What is the 5th root of 4 in exponential form and why?
Not quite sure on the mathy answer here, but...............
sqrt(X)
= X1/2
--------------so, in similar fashion
5root(4)
= 41/5
--------------------a number a little over 1 and taking a number to a fractional power is, the numerator is the exponent of the number under the radical and the denominator is indicative of the root taken of the number.
You should use your calculator for such simple sums. It is far quicker and involves fewer key depressions than posting the question on WA. But since you seem unable to carry out even this simple task, the answer is 1.75