1 4 5 Let A = 8 8a -6 . If a = -1 then the rank of a matrix a |1+a? 8a+4 2a+21 A is

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A: The given problem is to find the 12th term in geometric sequence with given 3rd term and 6th terms o...

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Q: v2 – 4v = -1.2975 – 2.1i

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Q: (c) L[y] = y" + 2y' + 10y = 0 %3D (d) L[y] = x²y" + 5xy' + 4y = 0 %3D

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Q: (b) Let W = M2×1(C) be a vector space over C. Give a basis ß for W.

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Q: Consider the Mapping diagram below. Y 1 a 2 b 3 4 d 6 a) What is the domain of f ? b) What is the co...

A: Brief explanation of the answer has been provided in the file attached below. If you have any doubts...

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Q: QUESTION 4 ppose that g(3,4) = 2, g,(3,4) 6. and g,(3,4) = 3. What is the linear approximat pa 2.3 b...

A: Introduction: The formula of linear approximation of two variables function f(x,y) is given by, f(x,...

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A: Concept: Here we shall use the formula for simple interest, SI=P×r×t100 Here, P is the principal, r ...

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Q: Q1​The difference between Compound Interest and Simple Interest on a certain sum of money at 10 % pe...

A: Find the attachment for the Solution.

Q: Construct the graph of the logarithmic function f (x) = log (x-2).

A: Introduction: The logarithmic function is a real-valued function defined on the positive real plane....

Q: 2. Suppose that f is a measurable function satisfying m{r ER: |f (x)| > n} ) < 1 nEN. n3 Is f integr...

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Q: The value of the iterated integral S S. S Tsin(ry)dydrdz= ... Select one: O A. None of these answers...

A: The triple integral I=∫ab∫g(z)h(z)∫p(x,z)q(x,z)f(x,y,z) dydxdz is solved as Integrate the function ...

Q: Consider the following Gauss elimination: 每,. Го о 11 1 1 0 0 3 2 -3 0 1 olA + 1 0 |E A → | 0 9 0 EE...

A: Given: A Gauss elimination To find: Determinant of A.

Q: (a) Solve the equation 163x-1 = 8*+2. %3D (b) Given that = aPb9, find the value of each of the const...

A: Please find attachment for the details solution

Q: Let a11 a12 aj13 2a11 2a12 2a13 a11+a21 a12+a22 a13+a23 a32 A = a21 and B а22 a23 аз1 аз2 аз3 a31 аз...

A: Matrices determinates

Q: Change the cartesian integral (1- )dydr into equivalent polar integral and then after evaluating the...

A: Given integral: ∫02∫04-x2(1-x)dydx  

Q: )sin 2x

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Q: Find the principal stress values (eigenvalues) and the corresponding principal stress directions (ei...

A: Given matrix is  T=321231114 We have to find the eigenvalue and eigenvectors.

Q: (3 -2 0) (-2 2 1) (0 1 2) Above shows a 3x3 matrix. i.Utitilizing elementary row operations, determi...

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Q: 1. Suppose that f2(x) is a measurable function. Is it true that f(r) is measurable? Prove, or give a...

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Q: Suppose that the matrix A has the following eigenvalues and eigenvectors: A = 2+ 3i with ở = -5+ and...

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Q: Use Newton's (or the Newton-Raphson) method and find p2 with po = 0 for f(x) x. a+1 42 43 3 -1

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Q: [1 3] Find (b) Let A = 3 (i) an orthogonal basis for R? consisting of eigenvectors of A. an orthogon...

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Q: 9x²- e2x 2 Given by a function of x is equal to v1 – cos²x + = 0. find the roots of equation with st...

A: We can solve this by bisection method  

Q: 5. Write an equation to solve the following problems involving circles (use 3.14 for pi): a. The cir...

A: Introduction: The circumference is the length of the boundary of the circle. The circumference of a ...

Q: Prove: The nth Fibonacci number Fn is even if and only if 3 | n.

A: The nth Fibonacci number Fn is even if and only if 3|n.

Q: he simple interest charged on a 6-month loan of P18,000 is P918. Find the simple interest

A: principal P = P18000 time = 6years =612=12 the interest I = 918 The formula for the simple interest ...

Q: QUESTION 3 Which of the following is an equation for the tangent plane to the surface z= xy at the p...

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Q: A shelf holds 2 english books, 3 history books, and 4 math books. In how many ways can you arrange t...

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Q: Construct a linear map L(z)=az+b that will send the imaginary y-axis to the line v=-u.

A: we have to constract a linear map that maps the y-axis to the line v=-u Basically we have to constru...

Q: 15.5 Prove that if n is a perfect square then n = 4q or n = 4q + 1 for some q e z. Deduce that 12345...

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Q: 94° (4x + 30)° All Char

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Q: Compute the value of the angle to the nearest degree. Sin β = 0.758 and tan β = 3.143

A: Introduction: When the value of a trigonometric function for a certain angle is given, we determine ...

Q: 1 Considered the area of a trapezoid is 50 sqm and the height is described by a number. Bases are de...

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Q: 5. (10 + 20i)u + vi = -48 + 339i, (8 – i)u + (1 – 8i)v = 18 – 24i

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Q: (a) Let u,v and w be vectors in R³. The volume(u, v, w) is given by determinant of [u v w]. (i) Deri...

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Q: Evaluate | exp(-2²)dx, using an iterated integral and polar coordinates.

A: Using Cartesian coordinates to polar coordinates.

Q: Find the first three nonzero terms of the Maclaurin Series for tanx.

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Q: 32. (Washington State, Grade 4) Ms. Yonan took a survey in her class to see how many stu- dents like...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: On her test, Zipporah submitted the follow asked to solve the inequality -2x +5211. Zipporah's Work:

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Q: QUESTION 3 DECISION TABLE WITH CONDITIONAL VALUES STATE OF NATURE FAVORABLE OUTCOME UNFAVORABLE OUTC...

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Q: a. Suppose that r E Q and x E Qº. Prove or disprove: The number (r – x)- E Q°. b. Prove or disprove....

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Q: f(z) = z + z lnz fonksiyonunun zo = 1 noktasında üçüncü Taylor polinomu P,(z) i kullanarak f(2) değe...

A: To find- Use the third polynomial P3x for fx = x + x lnx about x0 = 1 and evaluate f2. 

Q: Suppose that 4 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that a...

A: Brief explanation of the answer has been provided in the file attached below. If you have any doubts...

Q: 8. There is a jump discontinuity at x = 2 and f(2) = 3

A: Assuming we have to draw graph of a function f(x) with jump discontinuity at x = 2 and f(2) = 3, Con...