What is (s/vn) in this problem?
Answer
s/√n
it is the standard error for the mean
where s is the sample standard deviation
and n is the sample size
we have s/√n only when population standard deviation is unknown.
so, s/√n is the standard error for the mean
What is the voltage at the inverting input terminal of the
op-amp, vn? (vn
isn't labeled, but it's the voltage at the negative input terminal
of the op amp), also what is the power delivered by the 2.5-volt
source in terms of watts.
2.510 75kn 325 kr Not enough information given oov 10 v 2.5 V 7.5 V
Problem 6* (Optional). Suppose ej,..., en is an orthonormal basis of V and v, ...,Vn are vectors in V such that lle; - v, 1 < 1 h for each j. Prove that V1, ..., Vn is a basis of V. In other words, if you perturb an orthonormal basis slightly, you still have a basis.
(1) Let S (v1, V2,..., Vn be a set of vectors in a vector space V. (a) Define what does it mean for S to be linearly independent. (b) Define what does it mean for S to be a spanning set for V. (c) Define what does it mean for S to be a basis for v.
r the recurrence relation o. Consider T(n) = Vn T(Vn) + n a. Why can't you solve this with the master theorem? b. S t involves a constant C, tell me what it is in terms of T(O), T(1), or whatever your inequality by induction. Show the base case. Then show the how that T( n)= 0(n lg ig n). First, clearly indicate the inequality that you wish to hen proceed to prove the inductive hypothesis inductive case, and clearly...
What happens when vp>> vn? When vn>>vp?
Consider the Op-Amp circuit in the open loop configuration. The general curve for is shown to the right. Typically Op-Amps have very high open loop gain so their linear region is pretty small. This can make them very useful for detecting when vo > Vn and vice versa. (Hmmm I wonder if this could be helpful for the night light circuit design). Positive saturation region + | ooo Negative saturation region +-- Linear...
QUESTION 7 Given that vp = 4.7V, what is vn in the figure? + QUESTIONS Given that vn = 3.5V and Rs = 18kohm, what is is in the figure?
2. Let B-[vi..... Vn] be an orthonormal basis of R". Prove that the matrix P (vilv2l...Vn) is orthogonal, that is PT P I,
2. Let B-[vi..... Vn] be an orthonormal basis of R". Prove that the matrix P (vilv2l...Vn) is orthogonal, that is PT P I,
Problem 5. Let V and W be vector spaces, and suppose that B (vi, ..., Vn) is a basis of V a) Prove that for every function f : B → W, there exists a linear transformation T: V → W such that T(v;)-f(7) for all vEB (b) Prove that for any two linear transformations S : V → W and T : V → W, if S(6) = T(6) for all ï, B, then S = T (c) Prove...
, Vn be vectors in IR" with (vi,. .., v vn is aso 2. Let vi..., linearly dependent. Show that , 3. Let T' R3 -IR3 be defined by T(2:1, 2:2, 23) (27 + 22, 2x2 + x3, xs), (a) Find the standard matrix representing T (b) Determine if T is one-to-one. (c) Determine if T is onto.
determine the convergence or divergence of the sequence {an}. if the sequence converges, find its limit. 1. 2. Vn an2 Vn an2