Use factorials.
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A line is a function ifany line parallel to the y axis meets the line at most once andall points where it does not meet the line are excluded from the domain.
The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.
A global minimum is a point where the function has its lowest value - nowhere else does the function have a lower value. A local minimum is a point where the function has its lowest value for a certain surrounding - no nearby points have a lower value.
An excluded value is any x value that makes a function value y undefined. For a rational function, an excluded value is a value that makes the denominator equal to 0.
you put the fraction in simplest form (the numerator and denominator have no common factors besides one) then you find what number your variable should be to make the denominator 0. this is excluded value b/c your denominator can never equal 0 the number you found is your excluded value ex. 4 ------ Your excluded value is 3 because 3(3-3)=0 x(x-3)
Use factorials.
It varies by state.
Yes, that happens with any continuous function. The limit is equal to the function value in this case.Yes, that happens with any continuous function. The limit is equal to the function value in this case.Yes, that happens with any continuous function. The limit is equal to the function value in this case.Yes, that happens with any continuous function. The limit is equal to the function value in this case.
Heat capacity is NOT a path function. It is a STATE function. It depends on the phase of the material, the temperature and the pressure. Usually heat capacity is known at some particular condition and then a calculation is required to estimate it at the condition of interest. Performing these calculations should always result in the same final value no matter the path you took to get to the value - hence it is a STATE function rather than PATH. Path functions would be things like WORK and HEAT (for which the state function "heat capacity" might be used in the calculations)
A point function is a function whose value depends only on the state of a system at a single point, regardless of the path taken to reach that state. Examples include pressure, temperature, and density. In contrast, a path function depends on the path taken to reach a particular state and not just the initial and final states of a system. Examples include work and heat.
point
points
Yes it is state function
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The absolute value function returns the absolute value of a number.