As shown in the figure, an electron is fired with a speed of 3.23 x 106 m/s through a hole in one of the two parallel plates and into the region between the plates separated by a distance of 0.26 m.  There is a magnetic field in the region between the plates and, as shown, it is directed into the plane of the page (perpendicular to the velocity of the electron).  Determine the magnitude of the magnetic field (in μT) so that the electron just misses colliding with the opposite plate.

An electric generator is a device tha tconverts electrical energy into mechanical energy.

A current may be induced in a coil by

A rectangular coil carrying a current in a magnetic field will experience a net torque that will cause the coil to rotate in that field, if the field is not along the coil axis.

Apply the quotient rule to logb()

Please show all of your work, including all the values of the function fff that you are using in part (b). You may present it as a grid, as shown in the PowerPoint slides.

How many data points (n) are needed for a 4th-order Newton polynomial interpolation? If xi =1,2,3,4,5,6,7 and the corresponding f(xi) values are given, which values of xi would you select to estimate f(3.2) using a 4th-order Newton polynomial interpolation? Specify the selected values as x1, x2, …, xn                                            (5 points)   2. The corresponding values of f(x) are provided at the following points:         x = 0,  1,   2,   3,   3.5,   4,   4.5,  5.0 Assuming that only Simpson’s rules may be used for numerical integration, explain how you would approach the evaluation of the integral over the given interval (0 to 5). Clearly indicate which Simpson’s rule(s) you would apply to each section and justify your choice. (5 points)

5. A function is represented as f(t) = 1  for 0 < t < 2    and        f(t) = 0  for 2 < t < 4 Compute the coefficients ao and bk by integration over an interval (0, 4). Show step by step integrations. Write the first three non-zero terms.

Choose the correct pronoun, considering the rules for pronoun agreement and reference.  The audience showed _____ appreciation with a standing ovation.

Dr. Branch tells his pregnant patient, “Because you are 38 years old, we are going to do amniocentesis to see whether your baby has a normal number of chromosomes.” What disorder is Dr. Branch most likely concerned about?