2. If A1(t) and A2(t) are continuous in (a, b), and ¤(t) is a fundamental matrix of dX dX the differential system = A1(t) and dt A2(t). Show A1(t) = A2(t). dt

Q: Prove A X (BUC) - (Ax B) U (A x C)

A:

Q: Complete the table of values by converting the given numbers into the required number system. Show…

A:

Q: Let 0 M1 M2 M3 and 6. 3 5 A1 A2 A3 Let B {M1, M2, M3} and W = span(B). It can be shown that B' {A1,…

A:

Q: Let A = {8,√17^2−15^2  , 34mod7}   and   B = {14mod8} Is A ⊆ B? Explain why or why not.     Is B…

A:

Q: Using the method of separation of variables, find the solution of the following equation: ne 2 = u,…

A:

Q: Find the bilinear transformation which maps the points z = 0, -1, i onto w = i, 0, 00. Also find the…

A:

Q: A bar of soap uses 20g of honey and a bottle of hand cream uses 30g of honey. The group only has…

A: Let x be the number of soaps and y be the number of hand cream bottles. The constraint for honey…

Q: You have 1000 bugs in a bottle. It is known that the bug population is given by the logistic model…

A: As per the question we are given a discrete logistic growth model of bugs. Then an antibiotic is…

Q: 3. We learned in class that for a given A, the f(r) that minimizes the cost function i=1 is a…

A:

Q: Day traders typically buy and sell stocks (or other investment instruments) during the trading day…

A: Let us start solving the problem step by step  A)We need to find possible collections  B)no of…

Q: How many times more intense is an earthquake of magnitude 8.2 than an earthquake of magnitude 7.5?

A:

Q: e))int, o<さくせ

A:

Q: Let T : R³ → R² be the linear transformation that first projects points onto the yz-plane and then…

A:

Q: Question 3 In F,[x]/(x+ 2x + 2). perform factorization of the modulus. For each of the congruence…

A:

Q: a b C d 0 1/2 0 1/2) 1 P = 1 d \o 1 Identify the communication classes, their periods, and whether…

A:

Q: 2) Assume there are two bidders who are competing at a private-value auction, decided by a sealed…

A: The complete solution is in given below

Q: Exercises 1. Show that {(1,1,0,0), (1,0, 1, 1)} and {(2,-1,3,3), (0,1,-1,-1)} subspace of R4. span…

A:

Q: 6. Prove by CVI that every natural number n > 2 is a product of prime numbers. NOTE. A prime number…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Determine whether the sequence converges or diverges 1+(-1)" а. An n2 b. an =(1 -3zn) 3n.

A: For the solution of the problem follow the next steps.

Q: Decimal Equivalent of Complement of percent Percentage Complement of Percent 1.) 0.43 2.) 3.) 95 17…

A: Concept: Sum of complementry percentages are 100. When we represent a percentage in deciamal, we…

Q: EXERCISES 3:Find the directions in which the functions increase and decrease most rapidly at Po,…

A:

Q: Jennifer Kaufman bought a used Toyota Prius for $18,500. She made a $3,500 down payment and is…

A:

Q: R: Given the IBvp の o<xcL Solve for 4(XE).

A: Using separation of variables and superposition principle

Q: The VAV-1 factorization of a matrix leads to expressing A as a sum of rank one matrices, i.e. A =…

A:

Q: lines in the We look et two refleċtiois in flone The first So, is the refteltion of the Planes.…

A: Given: S0 is the reflection of points of the plane in x-axis. S1 is the reflection of points of the…

Q: Find a unit vector orthogonal to the vectors 5i + 8j + 3k and 4i + 8j + 8k with non-negative first…

A:

Q: Using the method of separation of variables, find the solution of the following equation: -2 = u,…

A:

Q: 3 . f(x) = %3D 4 - I

A:

Q: Find the area of the parallelogram with sides a = 6i + 2j + k and b = 4i + 3j + k. (Express numbers…

A:

Q: be defined by J Ja linear transformation? a. f(x + y) : | + Does f(x + y) = f(x)+ f(y) for all æ, y…

A:

Q: A Moving to another question will save this response. Question 3 Find the characteristic equation of…

A: Matrix A is given , we have to find the characteristic equation of matrix A .

Q: A small metal bar, with an initial temperature of 150° C, is taken outside where the air temperature…

A:

Q: Let the distribution of X be x) a) Find the point at which the p.d.f. of X obtains its maximumwhen…

A:

Q: The cost of producing q units of a good is C(q)=50q+500, and the firm sells q units at p(q)=500-2q.…

A:

Q: 1) degree 2, leading coefficient 5, extending from quadrant III to IV 2). 2 turning points,…

A:

Q: S. 1ぴ+6843)°

A:

Q: A. Prove the following: 1. For all integers k and 1, if k and 1 are both even, then k+1 is even. 2.…

A:

Q: Find the value of 20 so that dz= -2mi H=12 (z – 20) (2– 181)

A: Given integral is ∫|z|=12z(z-z0)(z-18i)dz = -2πi    ---(1)

Q: 2. Determine which of the following is a subspace of R". (a) {(x1,x2,...X) 1 x = 0} (b) {(x1,…

A:

Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

A: Formula for spherical coordinates ρ,ϕ,θ in terms of rectangular coordinates x,y,z are as follows…

Q: Verify Green's Theorem by evaluating both integrals ƏN Ly? dx + x² dy dA ду - %D ax For the given…

A:

Q: Let T : R3 → R* defined by T(v,. Vy, 2,vg) (3, Vz, v1). Find T’(v) and T10° (v)

A:

Q: Write the given system as a set of scalar equations. Let x' = col (x1'(t), x2'(t), x3 (t)- 0 1 0 1…

A:

Q: Determine whether the set of vectors in P, is linearly independent or linearly dependent. S = {1+x-…

A:

Q: The function u is the temperature at (x, y) throughout a thin rectangular plate witl Shae x = 0, x =…

A: Steady state temparature is the temperature when time tends to infinity. In other words it is…

Q: 3. Let W be defined as x + 4y + 5z 2x – y + z Зх + 3у + 62 6х + 6у + 122, W = |x, y, z E R (i) Show…

A: Using extension theorem to get a basis of vector space. Here the complement may or may not be…

Q: Find the exact value of the logarithm without using a calculator. In "Ve 12 ... In Ve = (Type an…

A:

Q: 1) Find Fourier series of the following functions: Find fourier nd f =) series b) f(x) = { -2x, – T…

A:

Q: Suppose that integers c, d such that and are positive integers such that b2 – 2a? = 1. Prove that…

A: