Show by two methods one algebraic and one combinatorial that: ΣΗ (E) (-) = (m*") -k=0

Q: Show that (p-q)–(r¬s)and(p-r)-(4-s) are not logically equivalent.

A: To show that p→q→r→s and p→r→q→s are not logically equivalent.

Q: x3y" – 5xy' + 9y = 0 -3x y" + 5y' + 4y = 10e %3D

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Q: considek aClosed rectangutar box with a How.4 squar bare If base side ir measured with error at 2%…

A: To find the error percentage while calculating the surface area and volume of a rectangular box .

Q: consider a Ctosed Kectangutar box with a If base side is measured with evror at 2% and khe height is…

A: To find the percentage error in surface area and volume of the rectangular box .

Q: Q1.write an 8086 program to perform this formula: x2 Y = E=1 (Using one subroutine) х!

A: We will use python programming to perform this formula. We will compute the finite series sum in the…

Q: Problem 4: Consider the set of polynomials {2+ t, 1 – 5t}. Let p¡(t) = 2 + t and P2(t) = 1 – 5t. Let…

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Q: Let R be a ring such that for each a e R there exists XE R such that a'x = a. Prove the following :…

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Q: QUESTION 13 AS1.000, 12 year bond carries a 35% semiannual coupon If the prevaling market rate on…

A: We know that, Semi annual coupon = (Coupon rate * face value) / number of coupons in a year So, Semi…

Q: If: 1 5 9 -3 -8 6 -4 -6 -2 7 -8 -3 A = -1 8 7 2 -4 -8 7 -7 -2 -7 -6 3 -8 7 -8 7 4 -3 -5 B = -6 3 -5…

A: Given matrix and

Q: Consider the function f(z,y) = kr - 2ry+y?. 1. Show that (0, 0) is a critical point of f(T, y). 2.…

A: This is a problem of multi-variable calculus.

Q: Q3/ The value of k such that P2 (1) = 2.8, k 4 1 2 Is

A: P2(x)=(x-k)(x-4)(2-k)(2-4)×0+(x-2)(x-4)(k-2)(k-4)×1+(x-2)(x-k)(4-2)(4-k)×22.8=(1-2)(1-4)(k-2)(k-4)×1…

Q: Maricopa's Success scholarship fund receives a gift of $ 180000. The money is invested in stocks,…

A: Let  X = Amount invested in stocks  Y = Amount invested in bonds Z = Amount invested in CDs Interest…

Q: find the approyimate Value of (3 (5-912 (2.o)2

A: given expression73.012+5.982+2.032

Q: Determine the average rate of change of the function over the domain graphed. (-3, 5). (3, 5) 4 2 4…

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Q: Complete the following binary arithmetic Divide problem 1100 by 100

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Q: Determine x(n) from the following x(z) taking in account two cases of x(n) as a causal and a non-…

A: Given that  x(z) = (z+1) /( (z-0.5)(z-1)^2) We have to determine x(n) from the following x(z) taking…

Q: Use the simple interest formula to determine the missing value. p= $1525, r= ?, t=4 years, i $134.20…

A: Simple interest formula     i = prt/100 Here of we put all the values of the variables available,…

Q: Sumi Kato's savings account has a balance of $1292. After 12 years what will the amount of interest…

A: Compound interest formula

Q: OShow ghat the equation z%-52²+3=€ has no 2. on the imeginery anis ond poecisely Two Solu tons En…

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Q: Qz Solve the ordinary differental equation ye dy dx with y(U=2

A: To find the solution of a given ordinary differential equation first we will separate the variables.…

Q: find the afPkoximate Vatue of: (3.01)*+(5-98)²+(2.03)?

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Q: Compute the following: -6 9 -87 7 -8 -1 3 4 + -5 -6 6 -8 1 8 4

A: Let us consider two matrix A and B Sum of the matrix exists if matrices are of same order Sum of…

Q: Consider the following problem: max (r1 – 3)² + (r2 – 5)² subject to a+2 < 10 - 2.x1 + x2 = 5. a.…

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Q: 6. Find the area bounded by: a. The curve y=4x-x and the lines y=0, x=1 and x=3. b. The curve…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Use the compound interest formula to compute the total amount accumulated. $2,500 for 10 years at…

A: Principal amount = $2,500 time = 10 years interest = 5.5%

Q: -3 -9 If A = 0 1 4 then 1 A-1 =

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Q: Coordinate mapping. Hint: you must first define a basis to start this process! ]} {[ ]} 2 2 2 1…

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Q: 4"Ch'tl find the intervel and radins os converigence Sellowing Power series.

A: Given series is ∑n=0∞nxn4nn2+1. We have to find the radius of convergence and interval of…

Q: If 2 [2 A = 1 4 4 3 -3 and B = 4 4 2 -2 -3 1 -4 4 Then 2A + B =

A: We have to use matrix addition.

Q: -69 A = -6 then A-1 =

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Q: Find the canonical prime factorization of this using Fermat’s Method and solve for the Number of…

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Q: Given 15 - A = 2 -5 -4 10 find one nontrivial solution of A = ő by inspection. i = ||

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Q: While on a business trip in February, Bob Barrett charged the following expenses to his company's…

A: Correct option is - D

Q: 1) Identify the conic sections and graph: a) (x-5)^2/100-(y+3)^2/64=1 b) (x+7)^2/5^2+(y+3)^2/3^2=1

A: On comparing with the standard form x-h2a2+y-k2b2=1 The given equation is a ellipse with center (h,…

Q: Q1: Determine X(z) for each of the following and write anddraw ROC: a) x(n) = [ 3 0 22 - 12 6. 10 1…

A: We have to solve by z transform.

Q: Solve the matrix equation Ax = b, where 2 -361 A = and b = -1 16 The solution is: x2 = ||

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Q: Rural Global Co. miakes many loans to individuals by discounting the face value of the loan. The…

A: Given that Face value (FV) = $5300 Discount rate (r) = 9% Time (t)= 200 days 1 year = 365 days

Q: Let A be the matrix -4 4 6. 1 -9 10 A := 4 6 -9 12 15 3 4 -5 8. Determine bases for Col(A) and…

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Q: If the rational number r is also an algebraic integer, prove that r must be an ordinary integer.

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Q: Find the length of the following curve at the given distance. Rie). cos'e ?a sin? t } Cos t i 2

A: Given curve is R→t=cos3ti^+sin3tj^ where 0≤t≤π2. We have to find the length of the given curve at…

Q: for all x E R. n! n=0 Consider e" = a. Determine the power series representation of f(x) = xe-5æ for…

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Q: If we take an adequate substitution, the following Bernoulli's equation y' + y = -x®y5 will be…

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Q: Question 3 Assume that the quantities of two products (A and B) produced by a multi-product firm are…

A: Given- Assume that the quantities of two products (A and B) produced by a multi-product firm are…

Q: 6. Cayley's Theorem states that every group is isomorphic to a group of permutations. Write out the…

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Q: x sin x dx x² + 9 2

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Q: 1 Evaluate sin'(76 + 2e de. 2n Jo

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Q: -5 4 -81 A = -1 1 a Define the linear transformation T : R³ → R² by T(7) = AF. Find the images of ü…

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Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an = (-1)" (- %3D

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Q: Suppose that on the interval I, f(x) is positive and concave up. Furthermore, assume that f" (x)…

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Q: [1 0 0 1 -2 2r – 4 |0 15. Consider the matrix A where r is a constant. | 1 -r + 2 The values ofr for…

A: This is a problem of Linear Transformation.