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What is the laplace transform of log function?
The Laplace transform is a widely used integral transform in mathematics with many applications in physics and engineering. It is a linear operator of a function f(t) with a real argument t (t ≥ 0) that transforms f(t) to a function F(s) with complex argument s, given by the integral F(s) = \int_0^\infty f(t) e^{-st}\,dt.
Can a discontinious function have laplace transform?
Yes, but it can be hard to find. Some easier to find examples are: L(Dirac Delta(t-a))=e^(-a*s) L(u(t-a)*f(t))=(e^(-a*s))*L(f(t-a))
Position of a particle moving along the x axis varies in time according to x equals 3t2 evaluate its positons at t equals 3s?
s(t) = 3t^2, t = 3 s s(3) = 3(3^2) s(3) = 27 units
What is a periodic function?
f is a periodic function if there is a T that: f(x+T)=f(x)
What is one dimensional signal?
A signal which is a function of single independent variable is called one dimensional signal; s(t)=7t; here the only independent variable is 't'.
What is the position of a particle as a function of time when its velocity is given by x(6m/s)t(-2m/s2)t2?
The position of a particle as a function of time can be found by integrating its velocity function. In this case, the position function would be x(3m/s)t2(-1m/s2)t3.
How is a function defined using sets?
If f is a relation between the sets S and Twith s Є S, t Є T, and (s, t) Є f, then f is defined as a function from S into T if, and only if, s is f-related to one specific t. If this is the case, t can be expressed as a function of s via the notation t = f(s).See the related links for the definitions of relation and f-related as well as the definition of the special types of functions called metrics and sequences.
How do you write a function called mystrlen that receives a pointer to a character string so that the function return the length of the string?
int mystrlen (const char *s) { const char *t; if (!s) return 0; for (t=s-1;*++t;); return t-s; }
What is the velocity of the moving object at time 5 second?
To determine the velocity of a moving object at a specific time, you would need the object's position function or acceleration function. If you have the position function, you can differentiate it to get the velocity function and then substitute t=5 seconds. If you have the acceleration function, integrate it with respect to time to get the velocity function and then substitute t=5 seconds.
What is the final position x of the object at t 18 s?
The final position x of the object at t 18 s is the location where the object is at the end of 18 seconds.
Who named things?
Hunter S. and Hamilton T.
An object is undergoing simple harmonic motion with period 1.210 s and amplitude 0.610 m. At t equals 0 the object is at x equals 0. How far is the object from the equilibrium position at time 0.485 s?
At time t = 0.485 s, the object is 0.610 m away from the equilibrium position, because the displacement at any time is given by x(t) = A * sin(2πt/T), where A is the amplitude and T is the period. Substituting t = 0.485 s, A = 0.610 m, and T = 1.210 s into the equation will give you the position of the object at that time.
What is the laplace transform of log function?
The Laplace transform is a widely used integral transform in mathematics with many applications in physics and engineering. It is a linear operator of a function f(t) with a real argument t (t ≥ 0) that transforms f(t) to a function F(s) with complex argument s, given by the integral F(s) = \int_0^\infty f(t) e^{-st}\,dt.
Is it truethat a particle with a position that is given by and 119909 and 119862 and 1199052 (C is a properly dimensioned constant) has an acceleration given by 4C.?
No, the acceleration of a particle is determined by the second derivative of its position function with respect to time. If the position function is given by x(t) = 119909 + 119862t + 1199052t^2, then the acceleration a(t) would be the derivative of this function with respect to time twice, not just a constant 4C.
What is function in geometry?
It is a relationship from one set (S) to another (T) - which need not be a different set such that for every element in S there is a unique element in T.
How is constant acceleration represented on a velocity time graph?
When an object moves in a straight line with constant acceleration, the equation describing its position (s) in terms of time (t) is a quadratic function like s = a t2 + b t + c, where a, b, and c are constants. The graph of such an equation is a parabola. However, if u plot velocity against time, the function is linear, and the graph is a straight line.
Which function is a linear function?
which function is a linear function? A. f(x)= x^3+x B. g(s)= 1-4s C. h(t)= 2t+1/t D. f(r)= square root of r
