A scientist measuring the resistivity of a new metal alloy left her ammeter in another lab, but she does have a magnetic field probe. So she creates a 7.5-m-long, 4.0-mm-diameter wire of the material, connects it to a 1.5 V battery, and measures a 5.0 mT magnetic field 1.0 mm from the surface of the wire.

Let X be the space of all continuous functions from [0, 1] to [0, 1] equipped with the sup metric. Let Xi be the set of injective and Xs be the set of surjective elements of A and let Xis = Xi ∩ Xs. Prove or disprove: i) Xi is closed, ii) Xs is closed, iii) Xis is closed, iv) X is connected, v) X is compact.

In a mass spectrometer, a positive ion with charge q=1.602x10^-19 coulombs is accelerated by a potential difference of 1000 volts (Ec=-V). Once out of the influence of the electric field, a uniform magnetic field of B=0.01 weber/m² deviates it into a circular trajectory of 182m radius. Determine
a) the velocity of the ion
b) the mass of the ion in kg and in units of atomic mass.

1.Consider a 15-year monthly annuity-style loan for $300,000. The fixed interest rate is 8.125% MEY. Amortize the loan and graph (1) payment, interest paid and principal paid v time, and separately (2) the loan balance over time. Make sure the graphs are at the top of a separate tab and suitable cleaned up.(USE EXCEL SPREADSHEET)

1.      The personal financial planning process involves the following:

Step

i.       Determining your current financial situation

ii.      Define your financial goals.

iii.     Develop a plan of action.

iv.     Implement your plan.

v.      Review your progress, reevaluate, and revise your plan.

Evaluate the practical aspect of the above planning process. (300 words)

A series RLC circuit consists of a 58.0 ? resistor, a 2.50 mH inductor, and a 450 nF capacitor. It is connected to a 3.0 kHz oscillator with a peak voltage of 5.60 V. What is the instantaneous emf E when i = I ? What is the instantaneous emf E when i = 0A and is decreasing? What is the instantaneous emf E when i = - I ?

1. Show that the argument

(a) p → q

      q → p

      therefore p V q

      is invalid using the truth table. ( 6 marks )

(b) p → q

      P

      therefore p

       is invalid using the truth table. ( 6 marks )

(c) p → q

      q → r

       therefore p → r

        is invalid using the truth table. ( 8 marks )

Your little dog, Fluffy, is excited to see you and jumps straight up in the air to a height of 0.680 m . What is Fluffy's initial speed as she leaves the ground? You can assume that Fluffy is in "Free Fall" (constant acceleration) during the jump.

Correct

Part B

What is the length of time that Fluffy is in the air?

1) What is the best estimate for the distance covered between t=2 s and t=10 s by using Romberg integration (based on Trapezoidal rule)? Use three different h values of 2, 4 and 8.

true or false:

34.  In the case DIP SpA v. Commune di Bassano del Grappa, the court agreed with the German Plaintiff that Italy was engaging in anti-competitive conduct by permitting local politicians to decide if adequate competition existed in their towns and cities

32. A self-executing treaty vests legal rights and remedies in private parties as well as the signatory nations.