(5a) Let A = {3, 4} be a subset of S = {1,2,... ,6} and let n E S. || n2(n+1)² Prove that if is even, thenn E A. 4

Q: Let {xn} be a bounded sequence on R. Show that lim = 0. n→+∞ n

A:

Q: 3. Which of the following is logically equivalent to [(-p V q)^(¬p Vq) ^(-p Vr)]→[(p V q)A(¬p vq) ^(...

A:

Q: 46. f(x. y) dx dy

A: Let us consider the integral I=∫ab∫h(y)g(y)f(x,y)dxdy To draw the region of the integartion Conside...

Q: 40. In a class of 80 students, sixty percent use neither an iPhone nor an iPad. Twenty percent use a...

A: Since you have posted a multiple question according to guildlines I will solve first question(i.e 40...

Q: DIFFERENTIAL EQUATION A tank contains 1,000 liters of a solution containing 100 kg salt dissolved in...

A: Solution :-

Q: Find the number of solutions to 6z1+9z2+20z3=150 where the zi are nonnegative integers.

A:

Q: Consider the following Gauss-Jordan reduction: 世癌癌垂無 1 1 -3 1 0 0 1 0 -3 1 1 2 0 0 2 1 = I 1 0 0 1 0...

A:

Q: Answer both item.

A: We find inverse Laplace transform of given F(s).

Q: Solve using variation OF porometere O reduction OF order Secx csc X

A:

Q: y = C¡e e-2= + Cze³* + C2e%

A:

Q: 1. y = xcsc + V1 – a?

A: As per our guidelines we are supposed to answer only one question you can repost other questions in ...

Q: Solve the following differential equations using the “exponential shift" defined by equation 4.1.2 E...

A:

Q: 1 2 3 3 4 -2 3. 3.

A:

Q: Transform the determinant into a triangular determinant and get its determinant. 8. 6. |A| = -3 7 -4...

A:

Q: Find the general solution of the following homogenous linear equations: 3. (9D²– 6D + 1) y = 0

A:

Q: Determine if the following statements are true or false. Prove if it is true or give counter example...

A: We will be solving Q(a) as mentioned. (i). Consider a Linear operator T defined on inner product spa...

Q: Note: K= 6 The function R(x) = -1.07x² + (K + 12.3)x – 116 shows the relation between the revenue (R...

A: Given revenue function is R(x)=-1.07x2+(K+12.3)-116 where x is  the sold product. Also given K=6, th...

Q: Find Y(s)/X(s) for the following differential equation d³y +3- dt3 dt? d'y dy +62+5y=: dt d²x dx +2+...

A: We have to determine the fraction YsXs, where Ys is the laplace transform of yt and Xs is the laplac...

Q: Let f (x, y, z) = xz cos(y). Find the directional derivative of f at (1,0, 2) in the direction of v ...

A:

Q: (2a) Let S = {S;}iej where I = {1,2, 3, ...} and S; = {i, i+ 1, i + 2| i e 1}. Prove or disprove the...

A: Partition of a set A is a collection of  distinct subset say S={A1, A2, A3,...} , that satisfies the...

Q: 4. Which of the following is logically equivalent to (p V¬q)^(¬p V-q) ^(¬q d.)¬9 a.)p b.)q с.) —р

A:

Q: 13. Use the difference an+1 – an to show that the given sequence {a, } is strictly increasing or str...

A:

Q: of y'(x) -ay(x) = 0   (see answer in picture) Task: use the above

A:

Q: (Bounded Linear extension theorem Let theanor medspace and i its Banach completionniff is abound ed ...

A:

Q: the Sieve Process from 200 to 300. be an odd prime not equal to 5. Prove that either p? – 1 or p² + ...

A:

Q: Solve Diff erential tq (xーみ +24* +(3メ+94-2-o

A:

Q: 3. Determine if the following argument is valid or invalid. State if va or fallacy used to support y...

A: Introduction: A truth table demonstrates how the truth or falsity of a compound statement is determi...

Q: Find the linear approximation of the function f (x, y) = 2x – y+x?y - near the point (2,0). O 2x + 3...

A:

Q: Evaluate . y? cos(x) dx + 2ysin(x)dy where C is the straight line between (0,0) and

A: The equations of the straight line joining (0,0)to π2,1 are x-0π/2-0=y-01-0=t(say) i.e. xπ/2=y1=t i....

Q: s 5; and D: the numbers do not add to 11. Express the given event in symbc The red die shows 5 and t...

A: Given,  Event A is given by red die shows 5. Event B is given by the numbers added up to 8.  

Q: er the following: The memE 1, A, T, H. The following tabl Number of votes 18 12

A: consider the table as given below number of votes 18 12 5 3 2 2 first choice H(4) T(4) M(4) A(4...

Q: Let T (x, y) represents the temperature at a point (x, y) measured in degrees Celsius. A bug is craw...

A: Solution :-

Q: 1. Solve for the othogonal trasctories y =x²(1-cx)

A:

Q: Marianne left the house with a jug containing 4 liters of water. She drank ¼ of the water in school,...

A:

Q: Suppose that R is a relation. Show that R C dom(R)×ran таn(R).

A: Given R is a relation. Let R be relation on a set A. Now define domain and range of relation R as fo...

Q: DIFFERENTIAL EQUATION Solve using method of undetermined coefficients y" - 4y' +3y = 20 cos x

A:

Q: Graph the following pairs of functions for two periods. Specify the intercepts and the asymptotes. I...

A: (a) The functions given are as follows: y=3cos2x-π4y=3sec2x-π4 The graph of the above function is as...

Q: Give one example of a mathematical truth by convention or by tradition. Then express this mathematic...

A: This is a problem of Propositional Logic.

Q: or the differential equation x"(t) + 4x'(t) + 3x(t) = 7 oproaches the following values ast →0

A: In this question, the concept of a particular solution is applied. Particular Solution A particular ...

Q: Determine if the following statements are true or false. Prove if it is true or give counter example...

A:

Q: P64.6) (4.5.)P(4.5) 1. Find (5. 2). Ansuer: 32.5781. --010537 6317) -0106

A: Note:- x = ∫0∞tx-1 e-t dt 12=∫0∞t-1/2 e-t dt=∫0∞ e-tt dt = π=1.77245 1/5==∫0∞t-4/5 e-t dt=∫0∞ e-tt45...

Q: The position of a particle along the x-axis is modeled by the differential equation x sin dx dt J1+r...

A: As per the question we have to following explicit differential equation : dy/dx = ysin(πx/2)/√(1+x2)...

Q: Solve the determinant of a matrix using Chios method and Pivotal Method. Show your solution.

A: This is a problem of Linear Algebra and Linear Transformation.

Q: find the equation of the line tangent to the curve y=x^4-4x^3+2x^2-4x+15 and perpendicular to the li...

A: To find the line tangent of the curve we have to differentiate with respect to x. If first-line slop...

Q: y = Ce- 2 + C2e3

A: Given equation is y=C1e−2x+C2e3x......1. We have to eliminate the arbitrary constants. Differentiate...

Q: Consider the following LP problem: Maximize Z = 30A + 60B Subject to, 4A + 10 B <= 40 0.2A + 0.3B <=...

A:

Q: = f(z) = u + iv is analytic function then A) Ux = Vy and vx =-uy B) f'(=)=u, +iv, dw C) f'(=) = %3D ...

A:

Q: 4. A vacant lot is being converted into a community garden. The garden and the walkway around its pe...

A:

Q: I Eliminate the arbitrary constants y = x²+ ax + be*

A:

Q: Activity 3. "Let's be connected with each other" Directions: Compute f'(3) for each of the following...

A: Since you have posted a multi subparts question according to guildlines I will solve first three que...