The time average of some function Æ(t) taken over an interval T is given by where t'
Question:
where t' is just a dummy variable. If Ï = 2Ï/Ï is the period of a harmonic function, show that vector r.
and
when T = Ï and when T > > Ï.
Transcribed Image Text:
ri+T f(t') dt' (f(t))T (sin² (K ·F – wt)) =} |(cos (K·i - ot)) = }
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 65% (20 reviews)
cos k 7 t 1T cos k 7 t dt Let k 7 cot x ...View the full answer
Answered By
Charles mwangi
I am a postgraduate in chemistry (Industrial chemistry with management),with writing experience for more than 3 years.I have specialized in content development,questions,term papers and assignments.Majoring in chemistry,information science,management,human resource management,accounting,business law,marketing,psychology,excl expert ,education and engineering.I have tutored in other different platforms where my DNA includes three key aspects i.e,quality papers,timely and free from any academic malpractices.I frequently engage clients in each and every step to ensure quality service delivery.This is to ensure sustainability of the tutoring aspects as well as the credibility of the platform.
4.30+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
Consider the periodic function Æ(x) = cos (κx + ε) where the amplitude is 1.0, and P is an arbitrary phase term. Show that the autocorrelation function (before being...
-
Figure P.11.44 depicts a single saw tooth function and its autocorrelation. Explain why cÆÆ (X) is symmetrical about the origin. Why does it extend from -1 to +1? Draw sketches where...
-
Figure shows a system for controlling the angular position of a load, such as an antenna. Figure shows the block diagram for PD control of this system using a field-controlled motor. Use the...
-
A small, 2-ha, mostly impervious urban catchment has an average slope of 1.5% and the following average. Horton infiltration parameters: f0 = 4 mm/hr, fc = 1 mm/hr, k = 2.2 hr-1. (Infiltration occurs...
-
a. What single investment made today, earning 12% annual interest, will be worth $ 6,000 at the end of 6 years? b. What is the present value of $ 6,000 to be received at the end of 6 years if the...
-
a) Investment in real estate is one of the booming business in Kenya today and most of companies and wealthy individuals have been venturing into the business. Understanding on the rights of real...
-
Describe how trend analysis can provide insight on whether a firm's financial position is improving or deteriorating.
-
Transactions related to revenue and cash receipts completed by Sycamore Inc. during the month of March 20Y8 are as follows: Mar. 2. Issued Invoice No. 512 to Santorini Co., $905. 4. Received cash...
-
Express as a composition of two functions; that is, find g and h such that f = goh. [Note: Each exercise has more than one solution.] - 18. y = 1 |x 3|
-
How much does Camouflage Affect Predation on Mice by Owls with and without Moonlight? D.W. Kaufman hypothesized that the extent to which the coat color of a mouse contrasted with the color of its...
-
Using the wave given in the previous problem, determine vector E(-/2, 0) and draw a sketch of the vector representing it at that moment.
-
What is the speed of light in diamond if the index of refraction is 2.42?
-
List the factors that affect the value of a currency in foreign exchange markets.
-
Which of the following statements are positive in nature and which are normative? a. A tax cut will raise interest rates. b. A reduction in the payroll tax would primarily benefit poor and...
-
Prove Theorem 1.13 using induction. That is, assume that \[E_{1}(x, \delta)=\int_{x}^{x+\delta}(x+\delta-t) f^{\prime \prime}(t) d t\] which has been shown to be true, and that \[E_{p}(x,...
-
Prove that if \(f\) is a polynomial of degree \(p\) then \[f(x+\delta)=\sum_{i=1}^{p} \frac{\delta^{i} f^{(i)}}{i !}\]
-
Suppose that \(f\) is a cubic polynomial. Prove that for \(\delta \in \mathbb{R}\), \[f(x+\delta)=f(x)+\delta f^{\prime}(x)+\frac{1}{2} \delta^{2} f^{\prime \prime}(x)+\frac{1}{6} \delta^{3}...
-
Suppose that \(f\) is a quadratic polynomial. Prove that for \(\delta \in \mathbb{R}\), \[f(x+\delta)=f(x)+\delta f^{\prime}(x)+\frac{1}{2} \delta^{2} f^{\prime \prime}(x) .\]
-
Let the demand and supply of Philippine pesos each month be described by the following equations: Demand for pesos = 100 - 2000e Supply of pesos = 20 + 3000e where the quantities are millions of...
-
Suppose you need to answer any four of seven essay questions on a history test and you can answer them in any order. a. How many different question combinations are possible? b. What is the...
-
The hinges of a uniform door which weighs 200 N are 2.5 m apart. One hinge is a distance d from the top of the door, while the other is a distance d from the bottom. The door is 1.0 m wide. The...
-
The uniform bar in Fig. 5-18 weighs 40 N and is subjected to the forces shown. Find the magnitude, location, and direction of the force needed to keep the bar in equilibrium. 50 N 0.20 L 60 N 0.60 L...
-
The mobile depicted in Fig. 5-17 hangs in equilibrium. It consists of objects held by vertical strings. Object-3 weighs 1.40 N, while each of the identical uniform horizontal bars weighs 0.50 N. Find...
-
LPMI, an exchange traded fund, provides investors with daily results equal to 250% of the performance of the Precious Metals Index. The daily returns of the Precious Metals Index over the prior five...
-
You have two call options for the same share. The first has an expiry date in 1 month and the second in 1 year. Implied volatility for the underlying share is high. Everything else being equals,...
-
Based on your understanding about business intelligence and/or data analytics, 1. In what way can a government (e.g. HK Government) make use of data analytics ? Name some examples of government...
Study smarter with the SolutionInn App