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Find an antiderivative of the following function. f(x) = ** - Enclose numerators and denominators in...
Find L(f) if f (t) equals ta sin (2t). Enclose arguments of functions, numerators, and denominators in parentheses. For example, sin (2 * x) or (a - b)/(1+n). Use an asterisk, *, to indicate multiplication. For example, 2* f (x), a* * (x+b) * (c*x+d), b* tan (a * ) or ea*r) * b. L (f) (s) QC
Find the Laplace transform of the given function. Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n). f(t) = S1, 0<t<8 t> 8 0,
Chapter 3, Section 3.2, Question 009 Find the derivative of the given function. y = + 8 Vx Enclose arguments of functions, numerators, and denominators in parentheses. For example, sin (2x) or (a - b)/(1 + n).
Find the Laplace transform Y(s)=L{y} of the solution of the given initial value problem. Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n). y" +9y S t, 0<t<1 1, 1<t< , y(0) = 7, y' (0) = 4
if csc x -13 and 3 <x< 2л. Use a half-angle identity to find cos Enter the exact answer. Enclose numerators and denominators in parentheses. For example, (a - b)/ (1 n). Equation Editor Common sin(a) tan(a) cos(a) Y 00 b sec(a) csc(a) cot(a) к Va Va a1 sina) cos (a tan о Ф X COS o
Chapter 2, Section 2.1, Additional Question 02 Find the solution of the given initial value problem. ty' +2y = sin (D), y(t) = 3,6 > 0 Enclose arguments of functions, numerators, and denominators in parentheses. For example, sin (2x) or (a --5)/(1+ n). QB
Chapter 6, Section 6.2, Question 18 x Your answer is incorrect. Try again. Find the Laplace transform Y (3) = [ {y} of the solution of the given initial value problem. It, 0<t<1 y" + 4y = 1,1<t<oo , y(0) = 8, y' (0) = 8 Enclose numerators and denominators in parentheses. For example, (a - b)/(1+n). Y(8) = (8*s+8)/(s^2+16)+(1-e^(-s))
Chapter 11, Section 11.4, Question 015 Use separation of variables to find the solution to the differential equation subject to the given initial condition. 3 du = u?,u (0) = 6 Enclose numerators, and denominators in parentheses. For example, (a - b)/(1 + n). u(t) = Q
Chapter 11, Section 11.7, Question 022 Give the solution tothe following logistic differential equation with initial condition dp = 0.09P (1 -0.001P) with P = 100 Enclose numerators and denominators in parentheses. For example, (a - b)/(1+ n). PO) =
Let f satisfy f (t+T) = f (t) for all t > 0) and for some fixed positive number T; f is said to be periodic with period T on ost< . Then, the Laplace transform of f (t) is given by L{f (t)} = 1. Se-st f (t)dt. Τ Use this fact to find the Laplace transform of the given function. f (t) = { 1, Ost<7 1-1, 7<t < 14 f (t + 14) = f(t) Enclose numerators...