Write the expression as a single logarithm with a coefficient of 1. In x - (9 In y + In z)

Q: undetermind cuefficien + चग-১৭४e 8 -22 -4

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Q: 1. Four friends (including Adam) were at the company picnic. Each friend had a different drink (one…

A: Answer: Adam-Water-Lime.David-Soda-Vanilla.Mary-Juice-Strawberry.Wilma-Tea-Lemon Explanation: step…

Q: 3 2 2 3 1, find the matrix B Such that AB = 5 3 4 3 4 2 1 6 1 5 6 4 , If A = 1

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Q: 3 Let R be the region inside the curve C :r = 1+cos 0 and to the right of the line € : r = - sec 0.…

A: Given R be the inside region between the curveC : r=1+cosθ and the right line l : r=34secθ. (a) We…

Q: Find the value of

A: Introduction: The determinant can be thought of as a function with a square matrix as its input and…

Q: 6. Use Laplace transform to solve the initial value problem: y" - 2y' + 2y = et, y(0) = 0, y'(0) =…

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Q: Find the Taylor/Maclaurin series centered at c F(x) = e^(2x), c=0

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Q: 4. Let ao, ɑ1, a2, be the sequence defined recursively as follows. ... Ak = 2ak-1 – 3, for all…

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Q: Find the area of the region bounded by y=x^2-6x+5, y=0 and the lines x=2 and x=5

A: We have to find the area of the region bounded by y=x2−6x+5, y=0 and the lines x=2 and x=5. The…

Q: By using Laplace transform to solve y"-y e' with y (0) = 1 and y (0) = 0 ,what would the particular…

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Q: If det(A) = 0 which of the following is correct A. The homogenous linear system Ax = 0 has only the…

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Q: ind the coordinate vector [x]g of x relative to the basis 1 B = X = -2

A: Coordinate vector of the given vector

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A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Let f E Sn- s it always possible to find an m EN and m > 1, such that fm = f? %3D f this is…

A: This is the question of Group Theory.

Q: Solve for X(n) using any 2 out of 3 methods of the given X(z). 1 X(z) = (1– z--)(1– z-2)

A: Given z‐transform can be written as Xz=z3z-1z2-1=z3z+1z-12

Q: Find the general solution of the differential equation y" + (wo)°y = cos(wt), w² + (wo)?. NOTE: Use…

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Q: If A, B, and C are n x n invertible matrices, does the equation C-1(A + X)B¬ = In have a solution,…

A: Matrix multiplication and inverse of the Matrix , pre and post multiplication of the Matrix

Q: Problem 6. Consider the plane, X, in R³ given by the vector equation: x(s, t) = (1, –1,2) + s(1,0,…

A: Given, Vector equation- x(s,t)=(1,-1,2)+s(1,0,1) +t(1,-1,0);     s,t∈RTo find: c) Q is the…

Q: 3 23) Give a counter example to disprove the foilowing Property ab = ac (modn) →6=C (modn) yb=C…

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Q: 3. Use De Moivre's Theorem to solve for the roots of : a® – 1 - jl = 0 O A. 1 cjs (T/24 + TIk) ; k =…

A: To find the nth root of the complex number Z = r [cos(θ) + i sin(θ) ] in polar form, use the formula…

Q: This 2-variable function has exactly TWO critical points: y? f (x, y) 3 xy + 4 - One of them is (0,…

A: Let z = f(x,y) have continuous partial derivatives of first and second order  at every point of a…

Q: Use forwards, back ward and centered difference approach to approximate the derivative of the f (x)…

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Q: Use the method of variation of parameters to find a particular 32e*/2 that does solution of the…

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Q: For what Vatuer of the Constant (k) that the funetion fayt=x'+kxy+y will have a- Saddle Point…

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Q: Problem 4. (a) Define a linear operator on R? by performing the following operations in order: • a…

A: Introduction: Through a linear transformation, we can change the coordinate of a point. There are…

Q: Use forwards, back ward and centered difference approach to approximate the derivative of the f (x)…

A: Given function is  fx=x2+9x-10

Q: i. Look for or create your own linear transformation T: R" → R". where n, and m are both R³, both…

A: In this question, we have to find the examples of linear transformations : (A) T : ℝ3→ℝ3(B) T :…

Q: Prove that the nonzero row vectors ofa matrix in row-echelon form are linearly independent. Let = A…

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Q: Find the Taylor/Maclaurin series centered at c F(x) = coscos(pix), C = 0

A: Given , f(x) = cos(cos(πx)) ,centered at c=0 We know that a Maclaurin series is given by  f(x) =…

Q: Find the general solution of the differential equation y" + (wo)?y = cos(wt), w? + (wo)?. NOTE: Use…

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Q: Mr. Cruz agreed to settle a debt by making 12 quarterly payments of P 450 each. If he failed to make…

A: Given: Let us consider the given, Quarterly payment, Q=ℙ 450 Number of payments, n=12 r=8% per annum…

Q: Solve the following DE ty" + 2y' + ty = 0 y(0)=1

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Q: 2. A factory is producing components packed in boxes of 10. 1% of the components is known to be…

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Q: Show that, if gcd(a,n)=gcd(a-1,n)=1 then a is a solution of the polynomial parity x² + ... + xó(n)-1…

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Q: 1. Evaluate the principal value of : - j1) (1+ j1)ª 1 O A. 2.808 + j1.318 O B. 2.808 - j1.318 O C.…

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Q: a) Draw a rectangle whose perimeter is less than the value of the area in the space below. (use a…

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Q: Use Thomas Jefferson's method to solve the following problem. Suppose a legislature in a state has…

A: Total population is 550000+382000+120000+365000+226000=1643000 total number of seats = 56 standard…

Q: Theorem 3. Let A be a bounded linear operator acting between two real Hilbert spaces. Then 1.…

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Q: The coordinate (x,Y) of parical (maring alony the plane curve di F eny Hium (t). cre given by. 9+2X…

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Q: 12.5 Classitication of perIT Table 12.5.1 Туре Example Number --[1°] [1°2] [123] (12²] (14] [23] [5]…

A: We have to make a table for S6 like the table given in the Question. To find no. of elements we will…

Q: We define an arithmetic sequence of functions: fn: [1,0) → R recursively as: fi(x) = Vx, Vx € [1, 0)…

A: Given fn:[1,∞)→ℝ recursively as: f1x=xfn+1x=x+fnx for all x∈[1,∞). (a). Let x∈[1,∞), therefore:…

Q: 4. Determine the number of zeros of the function f(2) = 2zª – 2iz³ + z² + 2iz – 1 - in the upper…

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Q: By calculating the solid's volume got by rotating the region underneath the semicircle y = (r2 −…

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Q: Determine whether the events are mutually exclusive or not mutually exclusive then find the…

A: Since the pets are different. So the events are mutually exclusive. There is a total of 6+9+4+7=26…

Q: (D² – 3D+ 2)y cos (e-) cos

A: This is a problem of differential equation.

Q: Question 2 Subapaces Let Deseribe each of the following wahepars pometrically. Be conerete poible,…

A: A=1022-32 AT=12-3022

Q: . By mathematical induction, prove that if ニ then A" =| 1 + 10n 4n -25 -25n 1- 10n 11 A - 9

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Q: Are these triangles congruent and if, so, for what reason? O Yes, SAS O Not congruent O Yes, AAS O…

A: We want to find the given to triangles are congruent or not.

Q: (1) Prove by simple induction that, for each integer n 2 1, 6"+1 – 6 6+ 62 + 6 . +.. + 6" =

A: We want to prove 6 + 62 + 63 + ... + 6n = 6n+1-65

Q: In evaluating a double integral over a region D, a sum of iterated integrals was obtained as…

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