Numerade

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A parallel plate capacitor with plate area 2m2 and plate separation d = 3.0mm is connected to a 35V battery. a) Determine the charge, the electric field, the capacitance and the energy stored in the capacitor.

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Question 1 A 200 HF capacitor is charged to 26 V and then discharged through a $ 40 \mathrm{~K} \Omega $ ressistor. (a) Caculate the intital current in the resistior. (b) (i) Ater 5.5 s the p.d. has fallen to 13 V . Find the p.d. atere another 5.5 s. (ii) Calculate the curenti in the ressistor at 11 s . (c) Calculate (i) the p.d. and (fii) the curerent in the ressistor aferer 8.0 s. (d) Show thet the values in ic) are related to the values in (b) by a factor close to 0.69 which in in? (e) How ing does it the for the p.d. to ta to to 1.0 V ?

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According to the principles oftraining-induced adaptations can disappear when the training load is insufficient or removed completely.

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Calculate the mass (in slugs) of a 384 pound rock on the Earth. How much would this rock weigh on the moon, assuming that gmoon = 5.331 ft/sec2?

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2. List the 4 factors of production in Economics and provide an example for each factor. I LAND Example: II LABOR Example: III CAPITAL Example: IV ENTREPRENEURSHIP Example: 2

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Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point. (2, π/4)

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Q5. Feifei wants to buy her dream car, but short of RM 4000. If she could invest her entire savings of RM 2100 at an annual interest rate of 12%, how long would Feifei has to wait until she could accumulate enough money to buy the car? Q6. Rose is planning her retirement and comes to the conclusion that she needs to save RM1228000 in 20 years. Rose can invest into a retirement account that guarantees a 6% annual return. How much does Rose have to put into her account at the end of each year to reach her retirement goal? Q7. Gansen plans to get married in 10 years time. Gansen wants to have RM240000 by that time. His parents promised to give him RM58000 as a wedding gift on the wedding day. Given that Gansen could invest his annual deposit in an investment account with 2% annual return, how much should he save every year?

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Prove that in the grand canonical ensemble $\Delta N^2 = \langle N^2 \rangle - \langle N \rangle^2 = \frac{1}{\beta^2} \frac{\partial^2}{\partial \mu^2} \log Z.$

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Questions 1. Consider the following models: (i) Zt = 0.6Zt-1 + at - 1.2at-1 + 0.5at-2 (ii) Zt = Zt-1 - 0.21Zt-2 + at - 0.7at-1 (iii) Zt = -0.4Zt-1 + 0.32Zt-2 + at + 0.6at-1 - 0.16at-1 a. Write the models in the backshift operator form b. State the name of the process and write the parameters c. Show the Φ(B) and Θ(B) d. Is Z stationary and invertible?

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Question 4 1 pts Evaluate the integral below using any appropriate algebraic method or trigonometric identity T/4 2+ 9 sin 0 de 0 The exact value is a + b/2 where a is -- and b is . Write a comma-separated list.

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