For each pair of functions in Figure E.8 D provide the values of the constants A,...
(a) For the functions in Figure 1, choose correct values of the constants A. t, and win the functional transformation g, (t) = Ag, (wit - 1.)). 00 + 0 (1) '8 0 -10 -5 0 5 10 -5 0 5 10 10 Figure 1. (B) A = 3, w = 2, t,= -2; (A) A = 3, w = 12, te=-2; (C) A = 3, w = 2, t,= 2; (D) A = 3, w = 12, 1, =...
For each case specify the state of the substance and provide the requested values. A) (8 points) Refrigerant 134a at T 10 C and v 0.025 m/kg, find P in kPa and u in B) (7 points) Air at P-1 bar and v-1 m3/kg, find u in kJ/kg. C) (8 points) Water at T 820 C and P 0.35 MPa, find h in kJ/kg. D) (7 points) Refrigerant 134a at T=4°C and u = 55.1 kJ/kg, find v in m3/kg....
Find the area between each pair of the following functions by first determining their intercept values. (a) f(x)=4 - 3x g(x)=2x² - x f(x)= 2 sin x 8(x) = 2 cos x (between 1/4 and Int/4)
1. There are 8 pole-zero graphs of system transfer functions in Figure E-1. Answer the following questions about their frequency responses, impulse responses and step responses. Frequency response: (a) Which have a phase approaching zero at very high frequencies? (b) Which have a phase that is discontinuous at zero frequency? (c) Which have a magnitude approaching zero at high frequencies? Step response: (a) Which have a step response that is non-zero in the limit to? (b) Which have a step...
Q 4.68a)
Find the values of the constants a, b, and c so that the directional derivative of Ф , 2. -1) has a maximum of magnitude 64 in a direction parallel to the z axis. ay + by2+cz, Find the acute angle berween the surfaces y'3x+ and 3x2-y + 2z I at the point (1, -2, 1). Find the constants a and b so that the surface ax -by-(a+2)x will be orthogonal to the surface y+ 4 at the...
(3) Determine by substitution which of the functions ya(t) = A e(-2+6j)t, yo(t) = B e(2+63)t, yo(t) =C e(-2-63)t satisfy the DE y" +4y'+40 y = 0, where A, B, C are nonzero constants. (4) Let y(t) = 0 + A e(-2-63)t + Be(-2+63)t, and use Euler's identity to show that y(t) = 0) + C e 2t sin (6t) + De-2t cos (6 t), where C =j(B-A) and D equals something similar. Then find constants C, D such that...
Problem 3. Let D be the vector space of all differentiable function R wth the usual pointwise addition and scalar multiplication of functions. In other words, for f, g E D and λ E R the function R defined by: (f +Ag) ()-f(r) +Ag(x) Let R be four functions defined by: s(x)-: sin 11 c(r) : cosz, co(z)--cos(z + θ), and so(r) sin(z + θ), and Wspanls, c Which of the following statements are true: (a) For each fixed θ...
7. We list several pairs of functions f and g. For each pair, please do the following: Determine which of go f and fog is defined, and find the resulting function(s) in case if they are defined. In case both are defined, determine whether or not go f = fog. (a) f = {(1,2), (2,3), (3, 4)} and g = {(2,1),(3,1),(4,1)). (b) f = {(1,4), (2, 2), (3, 3), (4,1)} and g = {(1, 1), (2, 1), (3, 4),(4,4)}. (c)...
a) b) 8. Using Graph paper, graph the following functions: y = 2cos(2x) for values of x = -11, -11/2, -11/6, -11/4, -1/3, y =tan( x + 11/2) + 1. For the same values of x as above. Provide your work on graph paper!! 112, -11/6, -11/4, -1V/3, 0, 1/3,1/4, 1/6,112, 11, 311/2 Section II: Vectors in Mechanics (5 points): Show your work!! 1. The vector A has a magnitude of 7.25 m. Find its components for direction angles of:...
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) - f(kx -wt) where k and w are positive constants....