2. Find differences and similarities of the following functions (1) y =x; (2) y=Vr?, y =...
Derive the transfer functions y and." v, Comment on the differences/similarities. the transfer function with the general transfer function when V. and k3 1. What is the cut-off frequency, w, and 0, in terms of R, R, C1? What values of R will make the gain, at the cut-off frequency, equal tofor...
Find faults in the following arguments, with brief explanations: (a) First faulty argument: 2(2) (3x) F(x) 3 (3) F(a) (4) F(a)→G(a) 1,3 (5) G(a) 1,3 (6) (Vr) G(x) 1,2 (7) (Vr) G(x) 3,4 MP 2,3,6 3 E (b) Second faulty argument: (1) (yz)(33) H(z, y) 1 (2) y) H(a, y) (3) (4) 5(5) 4.5 (6) 4.5 (7) (3) H(by) H(a, b) H(b, a) H (a, b) ЛНФа) (3y)(H(a,y) ΛΗ(y, a)) 4,5 л! 6ヨ1 Now find models to demonstrate that the...
Homework #1 Name: 1) What are the differences and similarities between a recession and a depression? 2) What is the economic definition of unemployment? 3) Define inflation. What is one potential macroeconomic consequence of inflation? 4) Take the partial derivatives of the following function with respect to x. f(x)-3x3+4xy -xy+3x-1 5) Take the partial derivatives of the following function with respect to y f(y)-3x3 +4x2y -xy +3x-1
Evaluate: vr y-x dA , y + 2x+1 where R is the parallelogram bounded by y-x-2, y-x-3, y + 2x = 0, andy+2x=4. Evaluate: vr y-x dA , y + 2x+1 where R is the parallelogram bounded by y-x-2, y-x-3, y + 2x = 0, andy+2x=4.
1. Find the maxima of the following functions. (a) f(x)-2-4. )2 (c) f (z,y)2+3. (d) f (x,y) = xy-x2-y2 + 9y.
Question 2: Find for the following functions: (1) y=-42x2-3x -! 7x? -5x + 9 (3) y= x+5 (5) Y= 7+3 (y = (3x* + 3x + 2)(x+1) (7) y =(5x + 7x) Page 1 of 2 Question 3: (0) Find the slope of the graph of y=f(x) = 3x - 6x +1 at the point (2,1) (ii) Find the equation of the tangent line to the curve y = f(x) = x*-10x2 + 9 at x=-1 (iii) Find the equation...
Compare and Contrast Mitosis and Meiosis: Similarities: 1. 2. Differences: 1. 2. 3. 4.
2. (each 1 mark) Find the derivative of the following functions: 9x + 7 (a) y = 92 - 1 (b)r = (02 9016 /09 - 9 ( 9 ) (c) y=rºcot x + 9x2 cos x – 14x sin x 9t sint (d) s = cost + +9 (e) h(x) = cº sin (vą) + 240 sec (1) ) 10 (f) f(0) = (_sin 98 (1+cos 90 ) (g) g(x) = (1 + csc(+10) + In (922 – 8)...
1.The region R is the region bounded by the functions y=x-3 and x=1+y^2. find the volume of the solid obtained by rotating the region R about the y axis. Please include a graph. 2.Find the volume of the solid obtained by rotating the region bounded by the graphs of y=x and y=sqrt(x) about the line x=2. Please include a graph
Random variables X and Y have following distributions: PIX = -4) = 2/3, P(X = -1) = 1/3 PſY = 2) = 1/2, P(Y = 3) = 1/2 a) (5 points) Using the moment generating functions for the random variables above find: E[X+Y] b) (5 points) Using the moment generating functions for the random variables above find: Var(X+Y)