Let T, >0 be given. S
Q: 3,Find the max, min, infledon Points an d the intervals eln which the F unc tHon on
A: f(x)=4x3+6x2-6x-4f'(x)=12x2+12x-6f'(x)=012x2+12x-6=02x2+2x-1=0 x=-2±4-4(2)(-1)2x=-1±32 (critical…
Q: s at least one real eger with an even : n of any two even
A:
Q: Exercise: Suppose X₁,..., Xn are Find UMVUE for λ. 1 independen
A:
Q: Determine all s ER such that i" - (i*)".
A: We have to determine all s∈ℝ such that ι4s=ι4s, where ι denotes the iota in a complex number. We…
Q: The time it takes a student to drive to school. Select one: O a. Discrete onti
A: Continuous variable is defined as the variable that can attain any specific value between two finite…
Q: Let A and U = H. Then A2017U is equal to
A: The given matrix is A=-120-1 find A2=-120-1-120-1=1+0-2-201=1-401 therefore A2=1-401 similarly…
Q: Let A be fisced constant pesitive be an enitire punction with a number and the all 3. complox…
A: Given that A be a positive constant and fz be an entire function such that fz≤Az2+z for all complex…
Q: Let X=R. and M = ®, then span (0) = o (0} OR
A: {0} is the correct answer.
Q: State and prove Parsvel's identity.
A:
Q: Let X - N(H, o). Show that the MGF of X is etu+to²
A:
Q: Let A Find grad(div( A ) %3D
A:
Q: Let H„(x) = (-1)" -w that h, E L² (R). , x € R, n E No, and let h„(x) dan e H„(x)e¯
A: Given: Hnx=-1nex2dndxne-x2 x∈ℝ, n∈ℕ0 This is a Hermite polynomial function. hnx=Hnxe-x22 To…
Q: Determine all values of c so that each given condition is satisfied.
A: Given: u=1 for u=1c2c-2c. Modulus of the vector u can be calculated as, u=1c2+2c2+-2c2…
Q: Jin Let G beagreupsuch that I6tefs thens
A: Answer
Q: When is S \ T = T \ S for sets S, T? Give an example
A:
Q: 4. If E(R) exists, show that |E(R)| < E(|R]).
A:
Q: PvQv R= (~P = Q)v (~P = R)
A:
Q: Show that e = o (hª) as h → 0 for all values of q.
A: Like big O notation, there is also a little o notation. There is a difference between big O and…
Q: nt the trees in a row, assuming that the trees are evenly spaced? e trees can be planted in…
A:
Q: limf, is measurable 00 ylan ihi
A: GIVEN a statement
Q: Let s in G, s is not equal to 1.
A:
Q: ƏM The given ду aN is a test for. ax %3D
A:
Q: If ACX,find A' for(X.I)
A:
Q: (10) If H < Z» × S, with |H| = 12, then H = %3D
A:
Q: Let X ∼ Geom(p), let n be a non-negative integer, and let Y ∼ Bin(n, p). Show that P(X = n) =…
A: From the given information, Consider, X,Y are to be two random variable where x follows geometric…
Q: z has a power (z) is
A:
Q: Under normality, prove the followings (a) B~ N(B,0²(X'X)-)
A: It is known that β^=X'X-1X'Y. Here, Y follows a multivariate normal distribution. The regression…
Q: Let a e Z. Prove that if 7 | 2a, then 7 | a.
A:
Q: of the give ess your ans
A:
Q: are given be
A:
Q: If g(a) = a°(exin²a+eoa²a), then gʻ(a) is: atcos.
A:
Q: a) What is the support set of X? b) Write out the PMF of X. c) Compute E[X].
A: Cumulative Distribution function (CDF) : The cumulative distribution function of a discrete random…
Q: Please asssit with value for ****,*****, ****** a
A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…
Q: 8.Prove the following relationships: a) I(X,Y)=H(X)-HOX/Y)
A: Solution
Q: Show a Check for each. In othe 4) Find a. / (z + 4) dz
A: Since you have asked multiple questions in a single request we would be answering only the first…
Q: A= Find a portia lar soltPon of the syatem with
A:
Q: and y If a = , then x = ||
A:
Q: Find all the values of x satisfying the given conditio
A: Given:- y=x-√(x-2) To find:- value of x when y=4
Q: that H(m m). Show
A: Given function is: Hm=3m-2 We have to find the inverse function H-1m. Let Hm=y Then we get,…
Q: s six skirts and five blouses. Assuming that th can wear different skirt-and-blouse combi
A: A woman gas six skirts and five blouses of these she wants a combination of 1 skirt and 1 blouse.…
Q: Given the value : Compute for the following: Q1, Q2, Q3 QD, CQD IQR 1.) 3,5,8,6,1,9,8,7,9 2.)…
A:
Q: Let fELoi Show that i for any E>o, the set 3- S has a positive measure -
A: For f∈L∞ , f∞=infM>0:μx:fx>M=0For M>0, defining the set AfM=X:1 fx>M⇒For f∈L∞,…
Q: (2) Let S := {1,..., n}. Compute the number of towers of length of the form A1 c A2 c S, where A1 +…
A: A tower of length set is a basically chain of subsets of different size.
Q: E Find Hwo numbers a anal b with asb such that OL has ils largest Voelue.
A:
Q: (a, b) is measurable. صواب ihi
A:
Q: (b) let ( X, Ź M) be a mea Sure pace for A, BE E Show that MLAUB) = MCA) + M(B) MCANB)
A: since this is a multiple question, as per company policy, we shall only 1 question. If you want any…
Q: Find the span (S) of the following R³. State whether S is linear in
A:
Q: Find f, and f, and evaluate each at the given point. f(x, y) = e*y?, (In 9, 2) f(x, y) = 5,x, y) =…
A: We have to find the first partial derivatives of the given function.
Need help with a,b,c
Step by step
Solved in 3 steps
- Determine the solution of u(x,y) of the Laplace equation ???+???=0 subject to the following boundary conditions ??(0,?)=0,??(2,?)=?(3−?),0≤?≤3 ??(?,0)=0,?(?,3)=0,0≤?≤2.Consider the forced but undamped system described by the initial value problem u′′+u=3cos(ωt),u(0)=0,u′(0)=0.Plot the solution u(t) versus t for ω = 0.7, ω = 0.8, and ω = 0.9. Describe how the response u(t) changes as ω varies in this interval. What happens as ω takes on values closer and closer to 1? Note that the natural frequency of the unforced system is ω0 = 1.please use laplace transform for the below linear system to solve system of equation. x(t)+6y'(t)=1 2x'(t)+3y(t)=0 with initial condition, x(0)=1 and y(0)=1
- Solve the following non-homogeneous heat equationut(x,t) = uxx(x,t) −x,u(0,t) = 0,u(1,t) = 0,u(x,0) = 2.Given is a population of wolves (W) and rabbits (R). R[t+1] = R[t]+ g*R[t] * (1 – R[t]/K) - sR[t]W[t] W[t+1] = (1-u)W[t] + vR[t]W[t] Where the carrying capacity of rabbits is 1 million. The growth rate of rabbits is 10% a year and s is equal to 0.00001, v is 0.0000001, and u is equal to 0.01. How many wolves and how many rabbits exist in the equilibrium? Use the equations for the co-existence equilibrium. Implement the model into Google Sheets with the initial populations of 200,000 rabbits and 10,000 wolves. Show the dynamics over time. It may take a few hundred steps to get to an equilibrium Look at the effect of the carrying capacity of rabbits. Suppose environmental pollution decrease the carrying capacity for the rabbits. After trying different values of K, what can you conclude is the minimum carrying capacity needed to have a population of wolves surviving in this environment?show that the solution y(t)=e^2tsin(t) is linearly independant.
- Find the solution of the following Homogeneous Linear DE of Higher Order.Consider the following homogeneous system of first order equations, dx/dt = ax + y, dy/dt = x − 2y, where a is a parameter. Suppose a = −2. Give the general solution of this system in the form x(t) = c1 u(t) r1 + c2 v(t) r2, where u, v, r1 and r2 should be found and c1, c2 are arbitrary constants. What is the nature of the critical point? Find the range of values of a for which the critical point is a saddle.Consider the system: dx/dt = 2x + 2y dy/dt = x + 3y For the given function P(t) = (x(t), y(t)), determine if P(t) is a solution of this system: (a) ((x(t), y(t)) = (2et, −et) (b) ((x(t), y(t)) = (2et − 4e4t, −et + e4t)
- Suppose we want to create something with a particular behavior. In eachpart below, find a second order, linear, constant coefficient, homogeneousdifferential equation with this y(t) as its general solution.y(t) = c1e^−5t + c2e^−2tLet u(x,t)=e^(iwx).v(t) and v(0)=1 be the solution of partial differentail equation u_t= u_xxx So , find the u(x,t) in term of x and t , that is eliminate v(t).2. Find x, y and z using Gaussian elimination: x + 2y + 3z = 17 3x + 2y + z = 11 x − 5y + z = −5