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QUESTIONS Solve the IVP: 3Y. 6, y + Y[2] =4 x 7 X 23 y[x]= 6x5 + 6 7X 176 y[x] = 5 x4 + 5 135 7 x y[x] =- + 4 X 4 8 3 X y[x] = y[x]- 3 2
Let f(x) = 4 x² +7 x – 3 (a) Find the vertical asymptote(s) of the graph of f(x). x = (b) Find the horizontal asymptote(s) of the graph of f(x). y = (c) Find the slant asymptote(s) of the graph of f(x). y = Note: Use a comma-separated list for multiple answers or the word NONE if no such asymptote exists.
Page 2 II. (7) Use the Laplace transform to solve the IVP y" - 5y' + 6y = 8(t-1), y(0) = 0,0) = 0, where the right hand side is the Dirac Delta Function (t - to) for to = 1. You may use the partial fraction decomposition 1 + 52-58 +6 2 S-3 but you need to show all the steps needed to arrive to the expression 1 52-58 +6 in order to receive credit. f(t)=L-'{F(s) Table of Laplace...
Need some explanation on these please and thank you so
much!
Suppose f(x) is an invertible differentiable function and f(4) 5, f(5) 3, f'(4) 3, f' (3)-4 Find (l) (5). b) -3 d) 3 e) 9-7 4 g none of the above The graph of f"(a) (the second derivative of f) is shown below. Where is fCx) concave up? -4-3-223 4 6 a) (-0o,-6) u (5,7) -3, 6) D(-6,5) U (7,00) g)none of these.
Suppose f(x) is an invertible differentiable...
7. (10) a) Find F(s) 1) if f) -tet [u(t)-u(t-4)] 2) iffit) d/dt [t sin (at )] u(t) (15) b) Find f(t) 1) if F(s)-10 s/[(s+1)(s+5)] 2) İfF(s) 10 (s+3)/[s2 (s+2)] 3) if F(s) - 10/(s2+s+ 1)
7. (10) a) Find F(s) 1) if f) -tet [u(t)-u(t-4)] 2) iffit) d/dt [t sin (at )] u(t) (15) b) Find f(t) 1) if F(s)-10 s/[(s+1)(s+5)] 2) İfF(s) 10 (s+3)/[s2 (s+2)] 3) if F(s) - 10/(s2+s+ 1)
Find the Laplace transform F(s)=L{f(t)} of the function
f(t)=cos(5t)+sin(2t).
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6. (a) If W(x, y)- F(u(x, u)) and W,(2,1) 24, u(2,1) 3, ux(2,1)4, uy(2,1) 6, find F(3). (b)I z2ze fnd
6. (a) If W(x, y)- F(u(x, u)) and W,(2,1) 24, u(2,1) 3, ux(2,1)4, uy(2,1) 6, find F(3). (b)I z2ze fnd
Find the domain of the function 4 f(x) = X-7 3 x+5 What is the domain off? O A. (-0,7)U(7,00) OB. (-00,00) OC. (-00,-5)U{ - 5,7)U17.00) OD. (-00,0)(0.00)
Show that if f (x - 1) = -f 6 - x), S“ f (x - 2) dx = 0. Hint: You may find it useful to make the variable substitution, u = (x - ).
Find f(x) that satisfies the following conditions ") = 6. /'(t) = 4 f(1) = 7 Answer 6 Points Keypad Keyboard Shortcuts SO)