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4-92. Show that the brake in Prob,4-91 is self-locking, i.e., P = 0, provided b/c =...
Prob. 3 In the diagram 91 =15.0°C and 92 = - 2.0uC are placed on the two corners of an equilateral triangle abc of base L = 3.0cm. 206 [a] What is the electric potential energy (in units of J) of 91 and 92? Prob. 3 In the diagram 91 =15.0uC and 92 = - 2.0uC are placed on the two corners of an equilateral triangle abc of base L = 3.0cm. [b] What is the electric potential (in units...
Prob. 3 In the diagram 91 =15.0°C and 92 = - 2.0uC are placed on the two corners of an equilateral triangle abc of base L = 3.0cm. [b] What is the electric potential (in units of 106Volts) at C due to q1 and 92?(Example:If your answer is 3.4x106V, enter your answer as 3.4)
(3) Suppose that E (0,) θ, Ε(92) θ,V(91) of, and V(02) σ . Assume that 0, and θ2 are independent. Consider the following estimator: 6, - a+(1 -@ (a) Show that @g is unbiased for θ (b) Find the value of a that minimizes the variance of 03 (c) Which estimator would you use? θί,02, or th when using the value of a found in part (b)
3. Let B(p, m) ce C RTlpcS m be the budget correspondence for p >>0, m2 0. a. Show this correspondence is continuous (i.e, both uhe and Ihe) b. Show this correspondence is convex-valued and compact-valued. 3. Let B(p, m) ce C RTlpcS m be the budget correspondence for p >>0, m2 0. a. Show this correspondence is continuous (i.e, both uhe and Ihe) b. Show this correspondence is convex-valued and compact-valued.
are integers and 91 and 92 are 5. Consider the system diagram show in Fig. 2 for a digital filter. Assume N and M real-valued. (a) Use the diagram to write the difference equation that relates the input to the output. And use the difference equation to write the transfer function for the filter. No Matlab needed. (b) Assume N = 3, M = 5, 91 = 0.5 and 92 = 0.9. Write a Matlab function (call it "ece125filter”) that...
2. Show that a. P.(-x) =(-1)*P(x) b. Px.(0) - (-1) 2(!) c. P(0) - 0 3. Prove that j «P.com j«P«6?P.:(}é 4. Evaluate j <P:6)Ps(x)dt 5. Use Rodrigue's formula to calculate P (4)
(3) Suppose that E (0,) θ, Ε(92) θ,V(4) of, and V(92)-σ . Assume that 0, and θ2 are independent. Consider the following estimator: (a) Show that a, is unbiased for θ (b) Find the value of a that minimizes the variance of 83 (c) Which estimator would you use? 01.02, or 얘 when using the value of a found in part (b)
LetX be a random variable that takes on values between 0 and c. (i.e P(0 X-c)-1). Show that Var(X) . Hint: You may want to first argue that EX21S cklX), and then use this inequality to show that Var(X)-C2 1 to show that Var(x)sa*X (i- E
4-91 Indicate whether each of the following compounds hemiacetal. a. CH3-CH2–0-CH3 b. OH CH3-C-CH3 0-CH3 c. O OH d. 0 0-CH3
Need help with part (C). show the equivalence using cases. Case 1: p>=q. Case 2:q>p. Thank you. 7.70 In this section, we provided the rule of thumb that the normal approximation to the binomial distribution is adequate if p +3 pg/n lies in the interval (0, 1)—that is, if 0 < p – 31pq/n and p+31pq/n < 1. a Show that p +37pqn<l if and only if n > 9(p/9). b Show that 0 <p – 31pq/n if and only...