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If t is real then [1 to infinity) ie all real numbers from 1 to infinity, including 1 but not infinity. If t is in the complex plane then the domain of t^2+1 is also the complex plane.

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How Laplace Transform is used solve transient functions in circuit analysis?

f(t)dt and when f(t)=1=1/s or f(t)=k=k/s. finaly can be solve:Laplace transform t domain and s domain L.


How do you find the domain?

The domain of a function, is the range of input values which will give you a real answer.For example the domain of x+1 would be all real numbers as any number plus 1 will be another real numberThe domain of x0.5 would be all positive numbers as the answer to square root of a negative number is not realNote:x0.5 means the square root of x* * * * *Not quite. A function is a one-to-one or many-to-one mapping from a set S to a set T (which need not be a different set). A function can be one whose domain is all the cars parked in a street and the range is the second character of their registration number.A mathematical function can have the complex field as its domain and range, so a real answer is not a necessary requirement for a function.


How do you make a the subject of t equals 0.5 x a plus b x h?

To make the following relationship: t = (1/2)a +bh a function of "a" (a = ...) start by subtracting both sides by "bh": t - bh = (1/2)a then divide both sides by (1/2), which is the same as multiplying by 2: 2(t - bh) = a from here you can distribute the 2 if desired: a = 2t - 2bh


What is the slope of d-t squared graph?

The slope of a distance-time (d-t) squared graph, where distance is plotted against time squared, represents the relationship between distance and the square of time. If the graph is linear, the slope can be interpreted as half of the acceleration, assuming constant acceleration. Mathematically, if the equation is of the form (d = kt^2), the slope (k) indicates how distance changes with the square of time. Thus, the slope provides insights into the motion's characteristics, such as acceleration.


What is the slope of d t2 graph?

The slope of a ( d ) versus ( t^2 ) graph represents the acceleration of an object when plotting distance (d) against the square of time (t²). In the context of uniformly accelerated motion, this slope indicates half the acceleration (a/2), as the relationship between distance and time squared is given by the equation ( d = \frac{1}{2} a t^2 ). Thus, the slope can be calculated as ( \text{slope} = \frac{d}{t^2} ) and is equal to ( \frac{a}{2} ).