3. Evaluate: The value f(4) for the continuous function f satisfying 2 sin = f(t) dt
Let F(x) = Sý sin*(0) dt. Evaluate the following limit . Let F(x) = $* sin?(t) dt. Evaluate the following limit. 2022
Sketch the product of these, viz., g(t)=u(t-3) u(-t-4) f g(t)dt = u(t-3) u(-t-4)dt Evaluate t=-oo t=-oo Evaluate ) f u(C)dt and (i) f u()dt t-500 t=-oo Sketch the product of these, viz., g(t)=u(t-3) u(-t-4) f g(t)dt = u(t-3) u(-t-4)dt Evaluate t=-oo t=-oo Evaluate ) f u(C)dt and (i) f u()dt t-500 t=-oo
Evaluate the integral (-8 sin(t)- 4 cos() dt ntegral Evaluate the integral (-8 sin(t)- 4 cos() dt ntegral
answer 1,2,3,4 thank you. HW4.5: Problem 1 Previous Problem Problem List Next Problem 1 point) Evaluate each of the integrals (here &(t) is the Dirac delta function) (60-3)dt (2)cos(3t)S(t -2) dt- (3)/eTst cos(4t)(t - 3) dt - c0 sin()(t - 5) dt- HW4.5: Problem 1 Previous Problem Problem List Next Problem 1 point) Evaluate each of the integrals (here &(t) is the Dirac delta function) (60-3)dt (2)cos(3t)S(t -2) dt- (3)/eTst cos(4t)(t - 3) dt - c0 sin()(t - 5) dt-
Question 3. (10 Points) A Graph Satisfying Integral Properties 4 2 2 2 -4 On the figure above, sketch the graph of a function f satisfying the following properties: .f is continuous, . lim f(z) 0, .f"(x) S0 on (-oo, -3). e lim f(z)oo, .()>0 on (0,2) .f'(2) 0, and f(r) dz 1, )t-1 for> 3 -3 Question 3. (10 Points) A Graph Satisfying Integral Properties 4 2 2 2 -4 On the figure above, sketch the graph of a...
(2) Apply Cauchy's Integration to EVALUATE the following INTEGRAL: 27 1 dt. 0 3 – sin(t)
6. Let f be a continuous function on R and define F(z) = | r-1 f(t)dt x E R. Show that F is differentiable on R and compute F'
5 If f(1) = 16, f' is continuous, and f'(t)dt = 29, what is the value of f(5)=? O A 44 OB. 45 O C. 43 OD. 46
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S