2, let f(t)-〈 2t 2-t < 4 ; g(t) = . 0 otherwise 0 5<t (a) Write each function in terms of the unit step fun ction (b) Plot each function (c) Find the Laplace transform of f (t) and g(t) 2, let f(t)-〈 2t 2-t
A table for f(x) is shown below -2 -1 0 1 2 f(x) -1 -3 3 4 2 A table for g() is shown below x -3 -2 -1 0 1 g(x) -1 -3 3 4 2 Based on the table, 9() - f(x+1) f(x - 1) f(x) +1 f(x) - 1 om A table for h(x) is shown below х -2 -1 0 1 2 h(x) -2 0 4 5 3 Based on the table, h(x) = f(x +...
all parts -2t e - (13 points) Let f(t) cos 2t, sin 2t) for t 2 0. F() (a) (4 points) Find the unit tangent vector for the curve d (F(t)-v(t)) using the product rule for dt (b) (5 points) Let v(t) = 7'(t). Calculate the dot product and simplify v(t) (c) (4 points) For an arbitrary vector-valued function 7 (t) with velocity vector = 1, what can be said about the relationship between F(t) and v(t)? if F(t) (t)...
18 Let g(t) be defined by the following table: a. Evaluate g(5) b. Evaluate g(0). c. Is g(3) defined? Explain. 44. Let h(t) be defined by the following table: t hin a. Evaluate h(-2). b. Evaluate h(4). c. Is h(5) defined? 4.5 Explain "mo Paying Attention to InstructionsExercises 45 and 46 are intended to give you practice reading and paying attention to the instructions that accompany the problems you are working (45) a. Solve for x 2x + 3 =...
The graph of function g is shown below. Let f(x) g(t) dt. y 8 7 6+ 5 9 4 34 2+ 1 -4 -3 -2 -1 2 3 4
0.09/1 points Previous Answers SCalcET8 5.3.002. Let g(x)-f(t) dt, where f is the function whose graph is shown (a) Evaluate g(x) for x 0, 1, 2, 3, 4, 5, and 6 g(0)0 9(2)-8 g(3)-( 20 9(4)- 9(5) 9(6) ) g(6)- (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? minimum x= maximum x= (d) Sketch a rough graph of g. 7 83 gtx ry again....
Let f(t) = t? and g(t) = 2t + 3. Find f*g. Select one: 1 t4 +3t3 12 123 a. 1 b. t +t3 1 +4 +t3 + 3t? 12 *** +++ Type here to search
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
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...
[EUM 114 1. Let f(x) be a function of period 2 (a) over the interval 0<x<2 such that f(x) = - f(x)pada selang Diberikan f(x) sebagai fungsi dengan tempoh 2t yang mana 0<x<2m Sketch a graph of f (x) in the interval of 0 <x< 4 (1 marks/markah) Demonstrate that the Fourier Series for f(x) in the interval 0<x< 2n is (ii) 1 2x+-sin 3x + 1 sin x + (6 marks/markah) Determine the half range cosine Fourier series expansion...