Yes! But check your work...
Perhaps half your curve is above the (say) x-axis and half is below. They could be canceling each other out.
I had an integral heat solution problem last year. I got the answer '0' and thought I must've done something wrong, so I didn't hand my assignment in. Turns out it was zero all along!
Heat can affect solutions by increasing the rate of dissolution of solutes, increasing the solubility of certain solutes, and changing the viscosity of the solution. Additionally, heat can also cause chemical reactions within the solution to proceed at a faster rate.
To determine the integral heat of solution of ammonium chloride by the calorimetric method, you would dissolve a known mass of ammonium chloride in a known volume of water in a calorimeter. Measure the temperature change that occurs during the dissolution process to calculate the heat absorbed or released. Use the formula q = mcΔT, where q is the heat, m is the mass of the solution, c is the specific heat capacity of the solution, and ΔT is the temperature change.
Ammonia is used as a refrigerant because it has excellent heat transfer properties, is energy efficient, and has zero ozone depletion potential. It can absorb a large amount of heat when it evaporates, making it ideal for cooling applications.
The best method to sterilize heat-labile solutions is by using a membrane filtration technique. This method involves passing the solution through a filter with pore sizes small enough to trap bacteria and other microorganisms, while allowing the solution to pass through intact. It is a gentle method that preserves the integrity of heat-labile substances.
When observing an object, you can determine if it is not at absolute zero by looking for any signs of movement, such as vibrations or changes in temperature. Objects at absolute zero would not exhibit any movement or show any signs of heat.
the cyclic integral of this is zero
The definite integral of any function identically equal to zero between any two points is zero. Integral is the area under the graph of the given function. Sometimes the terms "integral" or "indefinite integral" are used to refer to the general antiderivative of a function, especially in many textbooks. In this case, the indefinite integral is equal to an arbitrary constant, and it is important to distinguish between these two cases.
An integral number is an integer. A whole number positive, negative or zero.
Same as any other function - but in the case of a definite integral, you can take advantage of the periodicity. For example, assuming that a certain function has a period of pi, and the value of the definite integral from zero to pi is 2, then the integral from zero to 2 x pi is 4.
The integral zeros of a function are integers for which the value of the function is zero, or where the graph of the function crosses the horizontal axis.
It has 2 equal solutions
That depends on the values of the polynomial but in general:- If the discriminant is greater than zero it has 2 solutions If the discriminant is equal to zero then it has 2 equal solutions If the discriminant is less than zero it has no solutions
If the discriminant of the quadratic equation is greater than zero then it will have two different solutions. If the discriminant is equal to zero then it will have two equal solutions. If the discriminant is less than zero then it will have no real solutions.
Lynn Taylor Winter has written: 'Computer techniques yielding automatic and rigorous solutions to linear and nonlinear integral equations' -- subject(s): Numerical solutions, Integral equations
If the discriminant of the quadratic equation is equal or greater than zero it will have 2 solutions if it is less than zero then there are no solutions.
Because the solutions are found on the x axis when y is zero.
No. They can just as well have zero solutions, several solutions, or even infinitely many solutions.