(12) Prove: If U and V are unitary, then for any A (for which the products are defined, || A|| = ||UA|| = ||AV|| = ||U AV||.

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Q: The initial population of chickens in a field is 136. Determine the number of chickens after 36.9…

A: Given:     Initial population of chickens (P0) = 136            Rate of growth per annum (r)= 0.085…

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A: The given summation is                          ∑k=02n+2(3k+2n) First step :      ∑k=02n+2(3k+2n)  =…

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Q: & fot goud The fony + ~ auf En (~) foung + fos 4+

A: Range of the function in the first quadrant

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A: 5) Since  the linearly independent set form a fundamental set solution.

Q: 1. a. b. Which pair of functions is equivalent? f(x)=x²-3x + 5 g(x) = x² + 3x - 5 f(x) = (5x-7) +…

A: (d) option is correct..

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A: Given: The given equation is sin z=4. To find: We have to solve the given equation.

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Q: Problem #5: Solve the following initial value problem. Problem #5: y"-6y + 8y = 5x + ex, y(0) = 0,…

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Q: • Exercise 3.3.3 in Section 3.3: Suppose f: (0, 1) → R is a continuous function such that the limits…

A: Ans-We are given a condition that   f: (0, 1)→ R is a continuous function such that the limits lim…

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Q: If n(A) = 5, n(B) = 6, and n(C) = 9, what is the greatest and least number of elements in each of…

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Q: Evaluate the integral 928 6 cos (x²) 5√√z 9 28 sss SS 0 0 4у 6 cos (x²) 5√z -dx dy dz= 0 0 4y (Type…

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Q: Translate the following symbolic sentences into English. Make your answer as concise as possible.…

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Q: (a) Find the first four nonzero terms of the Taylor Series for the given function centered at a # 0.…

A: Note: As per the guidelines we are supposed to answer only 3 subparts. Please repost for the…

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Q: C Write an equation for the function graphed ab

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Q: L {a,b,c, d, e, f}, and = Consider the triple (P, L, J) with P = {1, 2, 3, 4}, (1, a), (2, a), (3,…

A: Consider the triple (P, L, I) with P = {1, 2, 3, 4},   L= {a, b, c, d, e, f}, and   I= { (1, a), (2,…

Q: Let T: P₂ → P2 be the contraction operator with factor k = 1/4. Find T(1 + 4x + 8x²).

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Q: et q represent a true statement, let r represent a false statement, and let s represent a false…

A: Let draw the truth table for  ~~s∨q∧~r

Q: P TF F T q פן ד F T F T p->q

A:

Q: Suppose gcd(ab,c)=1. Prove that abc | d if, and only if ab | d and c | d.

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Q: and b 6 Consider the system Ax = b where A-[328] basis for the null space of Al is given by {[]} [3]…

A: Given Ax = b , where A=-396-18 and b=31 Basis for null(A) is {31} So, the general solution is given…

Q: Tim’s weekly pocket money is $13.50 more than Sam’s. Sam spends $17.70 more than Tim every week. Tim…

A: Given that: Tim’s money is $13.50 more than Sam’s. Sam spends $17.70 more than Tim. Tim spends 5/11…

Q: Solve the particular solution of xy' - 3y = x4 if y(1) = 4. Oy = 3x² + 4x + 2 Oy = 3x² + x +8 Oy=x4…

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Q: Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem. y" + 4y…

A: Given that  y'' + 4y = tif 0 ≤ t < 11if 1 ≤ t < ∞   with  y0 = 2, y'0 = 3…

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Q: Problem 1. Given the curve Find the following at point P(1,0,0). 1. the unit tangent. 2. the unit…

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Q: ƒ(0) if f(-0.5) = 1.93750, ƒ(−0.25) = 1.33203, ƒ(0.25) = 0.800781, ƒ(0.5) = 0.687500

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Q: SOLVE FOR THE LAPLACE TRANSFORM OF THE GIVEN EQUATION. 4.f(t) = sin 3t t

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Q: 3. If lim [x² -f(x)] = 2, use the Rules of Limits to evaluate lim[f(x) — 2x]. -

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Q: 3 = [ ¹₂ ], b = [ ³ ], c = [ ¹₁ ], d = [¯^¹'], and v = [¯2²], 5. Given vectors a = (a) Find all real…

A: We are given the vectors and we have to solve given problem.

Q: a. How many subsets does A have? b. How many proper subsets does A have? c. How many subsets does A…

A: We have  A=c,d,e,f,g,h,i

Q: solve the following system of linear congruences x ≡ 2(mod 14) x ≡ 16(mod 21) x ≡ 10(mod 30)

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Q: Problem #7: Using the fact that x₁(t) = e¹ is solution of the second order linear homogeneous DE…

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Q: • Exercise 3.2.10 in Section 3.2: Let f: R → R and g: R → R be continuous functions. Suppose that…

A: To show that f(x) = g(x) for every real number x, we can use the fact that the set of rational…

Q: From the equations (3) and (4), C thus (79+6) > _(6q+5). ∞ 7h [²=0 №_(g+1)t−q + 1 02-(q+1)t-q Ti=0…

A: Given: The Information is given in the first picture that leads to the required proof.We need to…

Q: 3. Let || P| be the norm of the partition or the length of the longest diagonal of the Dr. A sum of…

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Q: 12% of the pencils in a box are red. The number of red pencils is 1/3 of the number of blue pencils.…

A: Let number of total pencils in the box be 'x' Then according to question: Red pencil =12% of x =…

Q: (a) On a previous problem set you saw that the signed curvature of y is given by the formula Kg(t) =…

A: As per mentioned, only part (a) is solved. The steps are mentioned to determine the formula…