5. Ф(41) Answer: Show your work or explain your reasoning here:

Q: Prove: For all m, n E N, (A†)" = (A")† holds for all m × n matrices A. %3D

A: Given: A=aijm×n is a m×n matrix where m, n∈ℕ. To prove: A†T=AT†

Q: From its past behavior, John knows that the value of a stock has a cyclical component that increases…

A: Given,f(t)=mt+b+Asin πt6 To find: a) Length of period of a given model             b) Duration on…

Q: The dot product of two vectors in R3 is defined by = a¡b1 + azb2 + azb3. [b3] a2 b2 8 Let i Find the…

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Q: Solve the following problem using the method of Lagrange multipliers: Find the marimum and minimum…

A: To find the maximum and minimum values of x−y3, subject to the constraint x2+9y2=9.

Q: -4 -3 2 -1 A = -5 -2 4 -10 -4 -3 Find dimensions of the kernel and image of T(x) = Ax. dim(Ker(A)) =…

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Q: Take z in W", and let u represent any element = is in wt) Take z, and z in w", and let u be any…

A: Introduction: There are two vectors x,y∈Rn, if they are orthogonal or perpendicular x·y=0. Notation:…

Q: What would a graph look like if the polar equation is "r = 4"? It would look like a semi-circle…

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Q: [3 0 0 1 Lo 0 -1] Suppose that A is a matrix such that (A+I)1 Then a. A 1. Lo o b. We can not find A…

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Q: 1)How many integers between 1000 and 2000 are divisible by at least one of the integers 3, 5 and 7?

A: Introduction: In mathematics, integers are the sum of positive and negative numbers. Integers are…

Q: Determine which vectors are solutions to a linear system: 2 x1 – 4x2 - X3 = 1 X1- 3x2+ X3 = 1 3x1…

A: Introduction: When there are more than one linear equation having more than one variable, it is…

Q: Question 2 Suppose we know that the power series > an (x – 8)" converges for a = 4. What other…

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Q: Some pedometers have a default setting that assumes that the number of steps a person must take to…

A: Let us take the height as h, and it is given that 32 steps decrease with an increase by 1 inch. So…

Q: CONTINUITY AND DISCONTINUITY OF FUNCTIONS Instructions: Answer this set together with your…

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Q: Calculate S3, S4, and S; and then find the sum for the telescoping series 1 1 S = n +1 n + 2 n=2…

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Q: Σ 1 n=0

A: Integral test for convergence

Q: b. D*B" = (B*D)" C. A1*C = (AC)1

A: This question related to properties of matrix.

Q: [1] The working equation that will determine the critical quantity y must satisfy the equation: 202…

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: 3) Find 25 x 0.25 A) 0.625 B) 6.25 9 62.5 D) 625 4) Simplify by combining like terms: 3x + 3x + 3x…

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Q: Suppose that we have a graph with at least two vertices. Show that it is not possible that all…

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Q: Let T : R2 → R² be the linear transformation defined by T(x, y) = (3x + y, –9x – 3y). Find a vector…

A: The linear transformation T : ℝ2→ℝ2 is defined by Tx, y=3x+y, -9x-3y The image of T is defined to be…

Q: For sin 2x + cos = 0, use a double-angle or half-angle formula to simplify the equation and then…

A: Solution

Q: 2. A cafe estimates a monthly profit (in thousand pesos) of P(x, y) = 27 – x? – y² + 6y if they open…

A: Given: A cafe estimates a monthly profit, P(x, y)=27-x2-y2+6y and the region D=x, y∈ℝ2 : x2≤y≤4. To…

Q: Find the sum. 3 8

A: Introduction: The method of calculating the sum of two or more numbers in mathematics is known as an…

Q: Round-off intermediate values to 7 decimal places, and 5 decimal places for the final answer.…

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Q: Find the volume of the solid that results when the region enclosed by the curves is revolved about…

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Q: Using mathematical induction, prove that 3ⁿ < n! if n is an integer greater than 6.

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Q: The restaurant manager listed down the amount of meal ordered o0 and the tip left by five customers.…

A: Use the excel spreadsheet to find the exponential model for the given data as shown below, From the…

Q: Ten thousand pesos is deposited annually for 10 years with an annual interest rate of 3.2%, how much…

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Q: t (minutes) 8 12 16 H(t) (*C) 65 68 73 80 90 3. The temperature, in degrees Celsius (°C), of an oven…

A: Using given table

Q: How many 2-inch by 3-inch by 8-inch bricks will you need to build a (uniformly wide) brick walk with…

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Q: 1) Let Xbe an infinite set with the Finite Complement Topology. Let A EX be an infinite subset.…

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Q: Find the inverse matrix 4 12 20 - 17 1 22 A = 30 19

A: Using row operations we will find inverse of given matrix.

Q: 1. Solve the system 3x + 5y+z = 1 7x-2y+4z = 2 -6x +3y + 2z = 5

A: According to our guidelines we can answer only first question and rest can be reposted .

Q: Question 9 7x 3 is added to 20х the numerator is 6 + 35x², and the denominator is When 8

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Q: Find the area. a. Inside one leaf of the three-leaved rose = cos30

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Consider a linear transformation T from R to R2 for which T and T Find the matrix A of T. A =

A: We want to find matrix of given linear transformation

Q: Show that f is an eigenfunction of L². What is the eigenvalue?

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Q: Usea Remann um to approximate the area under the graph of f) on the interval O2 using nubintervas…

A: Introduction: The definite integration of a function y=fx over the interval a,b is approximated…

Q: Evaluate the following sum. If the sum is not finite, type DOES NOT EXIST as your answer. 7 6. n=4…

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Q: In the following functions: f(x) = In(1 + x) a) Find the expansion of the Taylor series at x=0 b)…

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Q: Which of the following is NOT a characteristic of a normal curve?   The two tails of the curve…

A: Solution

Q: the trigonometric Fourier series of a periodic signal x(f) de by x(t) = t2, –n <t<a and x(t + 27) =…

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Q: 2+3

A: Given,        2+3jyx-j=2j

Q: 3. What is (x + x) / (x² + 1)?

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Q: Which of the following is not true about linear programming?   The value of the variables can be…

A: Solution

Q: Take the Laplace transform of the following initial value and solve for Y(s) = = L{y(t)}: S sin(nt),…

A: Solve the differential equation, by using Laplace transferom

Q: -4 3 -3 30 3 -2 -6 and b -5 2 -39 Define the linear transformation T : R' → R by T(x) = Ax. Find a…

A: Given that A=−43−33−2−66−52 and b=303−39 To find a vector x whose image under T is b.

Q: Determine whether the function is odd, even or neither. f(x)=xcosx+1

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Q: Q) find Fourier series on [-7,1] – 1 |4 -π<x<0 (7) ƒ(x)= T 4 0<x< T

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Q: 1. Let the function C = f(n) represent the total cost C (in dollars) for a carpenter when building n…

A: Introduction: A mapping or function whose domain and codomain are subsets of the set of real numbers…