![5 4 3 2 1 -2 9 10 -] The graph above can be written as y = f(t)h(t – a) + g(t)h(t – b). Recall: h(t - a) is the unit step fun](http://img.homeworklib.com/questions/47aa6030-f577-11ea-a44f-417a0185246d.png?x-oss-process=image/resize,w_560)
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10 5+ -10 10 -104 The graph of f(x) = 2 is shifted down 5 units,...
10 5+ -10 10 -104 The graph of f(x) = 2 is shifted down 5 units, and shifted left 2 unit. a) Write an equation for the new transformed function. b) What is the y-intercept of the new function? c) What is the domain of the new function? d) What is the range of the new function? e) Graph the function showing the y-intercept and one other point Solve the following equation. (4) logs(x+2)+logs (x-2)=2 DLL
How does the graph of g(x) = (x + 5)2 – 9 compare to the parent...
How does the graph of g(x) = (x + 5)2 – 9 compare to the parent function f(x) = x3? g(x) is shifted 5 units to the left and 9 units down. g(x) is shifted 9 units to the left and 5 units down. g(x) is shifted 5 units to the right and 9 units down. g(x) is shifted 9 units to the left and 5 units up.
Problem #9: The graph of f(t) is given below. 5 4 3 2 2 10 4 -1 1 (a) f() can be represented using the following combin...
Problem #9: The graph of f(t) is given below. 5 4 3 2 2 10 4 -1 1 (a) f() can be represented using the following combination of Heaviside step functions а U(t - 3) + b U(t - 4) + с U(t - 9) Enter the constants a, b, and c (in that order) into the answer box below. (b) Find the Laplace transform F(s) = Pf()} for s 0. a, b, c (in that order), separated with commas....
Let f(x) = -9 logo (x + 3) + 5. Graph f(a) using transformations. (a) Identify...
Let f(x) = -9 logo (x + 3) + 5. Graph f(a) using transformations. (a) Identify the transformations used to graph f(x). Select all that apply. horizontally stretched vertically stretched shifted right 3 units shifted left 3 units vertically compressed shifted up 5 units reflected over the y-axis shifted up 5 units shifted down 5 units shifted left 5 units reflected over the z-axis shifted right 5 units shifted down 5 units horizontally compressed (b) Identify the important point of...
(1 point) (a) The graph of a function y- f(x) is shifted up 2 units. Find...
(1 point) (a) The graph of a function y- f(x) is shifted up 2 units. Find an equation for this shifted function in terms of the function f(x) For example, y = 10/(9x + 8) + 7. help (equations) (b) The graph of the function y 2 is shifted up 2 units. Find an equation for this shifted function. ihelp (equations) (c) The graph of a function y = g(x) is shifted down 5 units. Find an equation for this...
1 2 3 4 5 6 match what goes where. 4.2.47-52 Question Help The graph of...
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match what goes where.
4.2.47-52 Question Help The graph of a logarithmic function is given Select the function for each graph from the following options |H(x)-1-log 9x f(x)=log98 g(x): log9(x-1) h(x1-1og 9x-t F(x)--logy® G(x) = logg(-x) Drag each function given above into the area below the appropriate graph, depending on which function is represented by which graph 47 48 6810 10-8-6-4 2 凹 46 8 10 50 51 Q 52 10 A 10 Drag...
9. (a) Find the inverse Fourier transform of the following function 1 (2 iw)(5 iw) (b)...
9. (a) Find the inverse Fourier transform of the following function 1 (2 iw)(5 iw) (b) The displacement of a particular mechanical system is governed by the following ordinary differential equation dy 10y f(t) 7 dt where y(t) is the displacement and f(t) is the applied load Page 2 of 4 MATH2124 SaMplE EXAM IV i Use the Fourier transform to obtain the impulse response h(t) of the mechanical system (ii) If the applied load is f(t) = H (t1)-...
Apply the Laplace transform to the differential equation, and solve for Y(s). DO NOT solve the...
Apply the Laplace transform to the differential equation, and solve for Y(s). DO NOT solve the differential equation. Recall: h(t - a) is the unit step function shifted to the right a units. y" + 25y = (3t - 6)h(t – 2) - (3t – 12)h(t – 4), y(0) = y' (O) = 0 Y(8) -
Let gx)- t) dt, where f is the function whose graph is shown (a) Evaluate gtx) for x - 0, 1, 2, 3, 4, 5, and 6 gt1)-1/2 0t2)-0 g(3) - -1/2 ot4)-0 9(5)-3/2 9(6)-4 (b) Estimate g(7). (Use the midpo...
Let gx)- t) dt, where f is the function whose graph is shown (a) Evaluate gtx) for x - 0, 1, 2, 3, 4, 5, and 6 gt1)-1/2 0t2)-0 g(3) - -1/2 ot4)-0 9(5)-3/2 9(6)-4 (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) 9(7)- (c) Where does g have a maximum and a minimum value? minimumx maximum x (d) Sketch a rough graph of g.
Let gx)- t) dt, where f is the function whose graph...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6)...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
10 5+ -10 10 -104 The graph of f(x) = 2 is shifted down 5 units, and shifted left 2 unit. a) Write an equation for the new transformed function. b) What is the y-intercept of the new function? c) What is the domain of the new function? d) What is the range of the new function? e) Graph the function showing the y-intercept and one other point Solve the following equation. (4) logs(x+2)+logs (x-2)=2 DLL
How does the graph of g(x) = (x + 5)2 – 9 compare to the parent function f(x) = x3? g(x) is shifted 5 units to the left and 9 units down. g(x) is shifted 9 units to the left and 5 units down. g(x) is shifted 5 units to the right and 9 units down. g(x) is shifted 9 units to the left and 5 units up.
Problem #9: The graph of f(t) is given below. 5 4 3 2 2 10 4 -1 1 (a) f() can be represented using the following combination of Heaviside step functions а U(t - 3) + b U(t - 4) + с U(t - 9) Enter the constants a, b, and c (in that order) into the answer box below. (b) Find the Laplace transform F(s) = Pf()} for s 0. a, b, c (in that order), separated with commas....
Let f(x) = -9 logo (x + 3) + 5. Graph f(a) using transformations. (a) Identify the transformations used to graph f(x). Select all that apply. horizontally stretched vertically stretched shifted right 3 units shifted left 3 units vertically compressed shifted up 5 units reflected over the y-axis shifted up 5 units shifted down 5 units shifted left 5 units reflected over the z-axis shifted right 5 units shifted down 5 units horizontally compressed (b) Identify the important point of...
(1 point) (a) The graph of a function y- f(x) is shifted up 2 units. Find an equation for this shifted function in terms of the function f(x) For example, y = 10/(9x + 8) + 7. help (equations) (b) The graph of the function y 2 is shifted up 2 units. Find an equation for this shifted function. ihelp (equations) (c) The graph of a function y = g(x) is shifted down 5 units. Find an equation for this...
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match what goes where.
4.2.47-52 Question Help The graph of a logarithmic function is given Select the function for each graph from the following options |H(x)-1-log 9x f(x)=log98 g(x): log9(x-1) h(x1-1og 9x-t F(x)--logy® G(x) = logg(-x) Drag each function given above into the area below the appropriate graph, depending on which function is represented by which graph 47 48 6810 10-8-6-4 2 凹 46 8 10 50 51 Q 52 10 A 10 Drag...
9. (a) Find the inverse Fourier transform of the following function 1 (2 iw)(5 iw) (b) The displacement of a particular mechanical system is governed by the following ordinary differential equation dy 10y f(t) 7 dt where y(t) is the displacement and f(t) is the applied load Page 2 of 4 MATH2124 SaMplE EXAM IV i Use the Fourier transform to obtain the impulse response h(t) of the mechanical system (ii) If the applied load is f(t) = H (t1)-...
Apply the Laplace transform to the differential equation, and solve for Y(s). DO NOT solve the differential equation. Recall: h(t - a) is the unit step function shifted to the right a units. y" + 25y = (3t - 6)h(t – 2) - (3t – 12)h(t – 4), y(0) = y' (O) = 0 Y(8) -
Let gx)- t) dt, where f is the function whose graph is shown (a) Evaluate gtx) for x - 0, 1, 2, 3, 4, 5, and 6 gt1)-1/2 0t2)-0 g(3) - -1/2 ot4)-0 9(5)-3/2 9(6)-4 (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) 9(7)- (c) Where does g have a maximum and a minimum value? minimumx maximum x (d) Sketch a rough graph of g.
Let gx)- t) dt, where f is the function whose graph...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
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