12. For an index set I and indexed families of sets (A || EI) and (B, |i E1). For each of the following statements, either prove it or find a counterexample. a. (nici A) U (nie B.) = (AUB) b. (nie A) U (B) = n(AUB) c. U (An B.) = (UA) n (Uier B₁). d. Uier (An B.) (UA) n (Uier Br).

Q: Show that 10n <3n for n ≥no. Be sure to find no first.

A:

Q: In Stardew Valley, you want to build a rectangular enclosure for a garden. You plan to build the…

A:

Q: Jessica's Cookie Shop sells a lot of cookies. This month 1/8 were peanut butter and 3/4 were…

A: We have to find what fraction of the cookies were either peanut butter or chocolate chip using given…

Q: Solve the system of equations using the inverse of the coefficient matrix of the equivalent matrix…

A:

Q: Problem 1. Find y as a function of a if y(1) = 6, y'(1) = -2. y = x²y" - 6xy' - 8y = 0,

A:

Q: The value of log3 0 is

A:

Q: S3x² = 16-4z E B S1:2x - 4y +z = 4 DS=aQ S2:2y=6-x S4: x = 0 S5: y = 0 S6: z = 0 0(0,0,0) is the…

A: The given surfaces are: S1:2x-4y+z=4. S2:2y=6-x. S3x2=16-4z Enter the equation of the surfaces as…

Q: True or false? When using a truth table, the statement ~p^~q is equivalent to ~(pvq).

A: TWO STATEMENTS ARE LOGICALLY EQUIVALENT WHEN THEY HAVE THE SAME TRUTH VALUE FOR ALL POSSIBLE…

Q: Find the angle between the vectors. (Round your answer to two decimal places.) u =(4,-5), v = (0,…

A:

Q: Jump to level 1 Let (U₁=[2₁2] ₂-[-1818)-[3]} U3 = 0 Use the Gram-Schmidt process to find an…

A:

Q: 6. { C/G +4y= sint, 0, 0≤t<2m, t≥ 2, y(0) -3, (0)=1

A:

Q: Evaluate the integral [[(x + y). e²²-1²dA, where R is defined by x +y = 3, x+y = 7, R x² - y² = -1,…

A:

Q: Show that u(x, y) = 2x(1 - y) is harmonic and find a harmonic conjugate v(x, y). Show your solution.

A: ux , y= 2x1-y To Find: Show that ux , y= 2x1-y is harmonic and also finds a harmonic conjugate.

Q: 30! 36*259 What is the larges value of x + y? Z

A:

Q: Show that A = B = -1 2 P-1 = 0 -4 0 0 02 1 -1 -3 -1 are similar matrices by finding 0 0 an…

A:

Q: Let D be an ellipse rotated counterclockwise by radians, as pictured below. Before rotation, 3 the…

A:

Q: A man started from home at 14:30 hours and drove to a village. When he arrived, the village clock…

A:

Q: 1) A firm uses three types of raw materials plastic, wood, and metal in the production of two…

A: Note:- Since you have posted multiple questions according to company rule we are supposed to provide…

Q: Prove that convergence in LP implies convergence in probability if: X₂ → X in Lº (N, P) if EXnXP → 0…

A: Xn→X in LpΩ, ℙ.EXn-Xp→0, p≥1.

Q: Show that B is the inverse of A. AB= BA = -2 2 -B-[14] = 3 34 2 2 A = = I = I

A:

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. 2 y"…

A: The initial value problem is: y''+5y=4t2-7,  y0=0,  y'0=-3. We have to solve for Ys, the Laplace…

Q: 10. 100 students were asked which television channel (MTV, CNN or BBC) they had watched the previous…

A:

Q: Determine if the vector u is in the column space of matrix A and whether it is in the null space of…

A: 1.A vector v is in the column space of a matrix A if AX=v has a solution(X satisfying the equation…

Q: X Q₁) Use Taylor's series method to solve the following differential equations (iii) y'=x+y²;…

A:

Q: Determine whether the graph is a tree. If the graph is not a tree, give the reason why. E F 다 D B…

A: In graph theory , a graph is said to be a Tree if the graph is connected and it has no circuits or…

Q: Q9: A gold processor has two sources of gold ore, source A and source B. In order to keep his plant…

A:

Q: The half-life of Carbon-14 is about 5730 years. This means that it takes approximately 5730 years…

A: The half-life of Carbon-14 is about 5730 years.Weight of an artifact=1200 grams

Q: 8. A group of 30 children are surveyed to find out which of the three sports cricket (C), basketball…

A: Given that A group of 30 students plays sports cricket (C) , Basketball(B) and Volleyball (V) such…

Q: Question 1. Suppose v and w are two vectors in Rd. Projection of v onto w is the following vector •₁…

A:

Q: #4 Short proofs and counterexamples, II. As before, determine if the statement is true or false. If…

A:

Q: 6. y"-4y' + 5y = e2x tanx, 0<x< π/2.

A: y''-4y'+5y=e2xtanx

Q: Suppose the concentration of a particular drug that is administered orally is given by Cpo (t) = 150…

A:

Q: To find the speed of rocket when it to determine time at We need which t = h(t) = 0 - 4.9+² +17²…

A: Why we consider t=3.5 not the other one .

Q: Use the integral definition find the Laplace transform of the function and be sure to state the…

A:

Q: Use De Morgan's laws to write the negation of the statement. Cats are lazy or dogs aren't friendly.…

A:

Q: Let Find a basis of the subspace of R4 consisting of all vectors perpendicular to ở. 3 1 0 0 5/3 0 1…

A:

Q: Find the a) lower and b) upper sum estimates of the area beneath the curve below from x = 0 to x = 6…

A: A graph bounded by some area. To Find: a) Upper Sum b) Lower Sum Estimate of the area under the…

Q: [2, 03 b) If f(t)={ , find L{S(1)}.

A:

Q: Determine two different Hamilton circuits in the following graph. Select all that apply. A. A, E, C,…

A:

Q: There is only one point on the coordinate plane whose coordinates are (2,3). A circle with center at…

A: 1. Statement : There is only one point on the coordinate plane whose coordinates are (2,3).…

Q: 0 00 6 GTA If, x² = 4 (4x² - 1) Prove that x = √√5 + √√3

A:

Q: 5. Evaluate eds using the following methods. A. Trapezoidal Rule with n = 4. Round to 4 decimal…

A: Introduction: Numerical integration methods can generally be described as combining evaluations of…

Q: 1.47pi is incorrect

A:

Q: Which of the following is the standard equation of a circle with center at (h‚k) and radius r? O a.…

A: We have to determine the correct form of the standard equation of a circle with center at h, k and…

Q: Let g(x, y, z) = sin(xyz). (a) Compute the gradient Vg(1, 0, π/2). (b) Compute the directional…

A: As per our guideline, we are supposed to solve only first three subpart. Kindly repost other subpart…

Q: 3. Consider the following two-dimensional system of first-order ODES: (*) = (² 3) (+). (a) Obtain…

A: Given Data: Let us consider the given equation is  x.y.=-1263xy. To Find: (a) Eigen values and eigen…

Q: K Determine if y is in the subspace of R spanned by the colunins of A Select the correct choice…

A:

Q: -2 2 2

A: A graph of the function is given, we have to find the equation of the graph.

Q: Recast the equation y""- cos (y +t)y" + e" y = 0 as a first-order system of ordinary differential…

A: Equation : y''''-cosy+ty"+ey'y=0

Q: Consider the three basic vectors: (2,1,0,-1),(-1,1,1,1),(2,7,4,1) a. give two vectors that are in…

A: Given the three basic vectors:                           (2,1,0,-1),(-1,1,1,1),and (2,7,4,1) We have…