1. Express the following signals in their trigonometric, polar and compact exponential forms. if it is necessary to expand the signals and indicate the fundamental frequency of them.
e) x(t) = cos2 t
= 1 + cos 2t / 2
=
=
f) x(t) = sin2 t
= 1 - cos 2t / 2
=
=
g) x(t) = cos3t
= cos 3t - 3cost / 4
h) x(t) = sin3t
= 3sint -sin 3t / 4
1. Express the following signals in their trigonometric, polar and compact exponential forms. if it is...
Which of the following forms the most polar bond? Choose one: F and C B and N S and Cl F and Te Are any of the bonds formed between the following pairs of atoms ionic? Choose one or more: C and Cl B and H Ca and Cl O and H P and F We were unable to transcribe this imageWe were unable to transcribe this image
Find an equation for each polar graph. Express as a function of t. (click on graphs to enlarge) f (b) Five-petal rose (a) Cardioid (c) Circle N 4 We were unable to transcribe this imageWe were unable to transcribe this image
Let be a sample (size n=1) from the exponential distribution, which has the pdf , where is an unknown parameter. Let's define a statistic as . Is a sufficient statistic for ? We were unable to transcribe this imagef(x: λ) = Xe We were unable to transcribe this imageT(X) = 1122 T(X) We were unable to transcribe this image
Let be a sample (size n = 1) from the exponential distribution, which has the pdf where is an unknown parameter. Let's define a statistic as . Is a sufficient statistic for ? We were unable to transcribe this imagef(x: λ) = Xe We were unable to transcribe this imageT(X) = 11>2 T(X) We were unable to transcribe this image
For each compound: 1. Determine the number of equivalent hydrogens - number of different signals 2. Determine the splitting pattern of each signal 3. Sketch a possible spectrum 4. Then try to match the compound to the correct NMR spectrum er w t & You We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageNMR worksheet H-1 (proton NMR D for each compound 1. Debamia the number of equivalent hydropens number...
1. (40 points) Write down the phasor representation for each of the following signals a. (5 pts) x, () 12cos(21) b. pts) x(1)-20cos(3t+45) c. (5 pts)x,(t)-10sin(21 + 300) d. (5 pts) x,(t)-35cos(20+22 sinQ2 +45") e. (10 pts) )- d 135cos(21)+22 sin(2i+4')leas ao express the result in the time domain. f (10 pts) ,)-[B5cos(21)+22sin(2r +45°ydr. Please also express the result in the time domain. Notes: Phasors are ideal for steady-state analysis of sinusoidal signals at a fixed frequency, so we cannot...
a) By direct substitution determine which of the following functions satisfy the wave equation. 1. g(x, t) = Acos(kx − t) where A, k, are positive constants. 2. h(x, t) = Ae where A, k, are positive constants. 3. p(x, t) = Asinh(kx − t) where A, k, are positive constants. 4. q(x, t) = Ae where A, a, are positive constants. 5. An arbitrary function: f(x, t) = f(kx−t) where k and are positive constants. (Hint: Be careful with...
1. Periodic signals with period To can be presented by Fourier Series in Complex Exponential or Trigonometric form. i.e. X(t) = a ewa, H or where Mx = 2|az|; 0x = Zat Find the Fourier series coefficients at, as well as My and et, for the following signals. . (a). Sinusoidal: X(t) = sin 277. A (b). Square: -A TO Procedures: Use the Signal Generator to generate the above signals according to the setting listed in Table I and measure...
1. (40 points) Write down the phasor representation for each of the following signals a. (5 pts) x, () 12cos(21) b. pts) x(1)-20cos(3t+45) c. (5 pts)x,(t)-10sin(21 + 300) d. (5 pts) x,(t)-35cos(20+22 sinQ2 +45") e. (10 pts) )- d 135cos(21)+22 sin(2i+4')leas ao express the result in the time domain. f (10 pts) ,)-[B5cos(21)+22sin(2r +45°ydr. Please also express the result in the time domain. Notes: Phasors are ideal for steady-state analysis of sinusoidal signals at a fixed frequency, so we cannot...
For the following circuit: At t=0 the voltage drop on the capacitor is and points s and 1 are connected. 1) Which of the following statement describe what will happen in the circuit ? (select one) a. The capacitor will be charged to a final voltage of , with I being the current in the circuit b. The capacitor will disconnect the circuit so no current will exist c. The voltage will oscillate at an angular frequency of d. The...