Compute the determinant of the matrix by expan

Q: 1. Which of the following sets of vectors a = of R (n 2 3)? (a1, .. . , an) in R are subspaces (a) a...

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

Q: Prove If a,b, and c are integers with a|(b+c) and a|b, then a|c.

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Q: 2. x + ( 1+x)y = e -x sin2x dx

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Q: Which of the following is the general solution to the differential equation ydx = (3y + 1)xdy + y'eY...

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Q: 2. Find the root using Regula-Falsi Method a) x* - x - 10 = 0 b) x2 - 6x + 9 = 0 c) x- e- = 0 Ans. x...

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Q: M2 M1 Ma M3 = 1/2 0

A: This is a problem of linear transformation.

Q: For each of the following series, determine whether it is convergent or divergent. Justify your answ...

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Q: In a gathering, the host makes sure that each guest shakes hands with everyone else. If there are 30...

A: Given:Number of Guest = 30

Q: A company took a loan on the May 15th and paid it back on the Oct 20th. The amount of interest they ...

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Q: Find the unknown variable: C(6r, 6r -1) = 12 + C(4, 2)

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Q: 18. Verify that the result (f(t)} = sI (f(t)} - f (0) for (a) f(t) = t2 + 2t – 4 and (b) f(t) = cos ...

A: Note: According to Company Guidelines we are providing the answer of first question. Kindly post oth...

Q: Find the root/s using Bisection method a. e-* – 3logx = 0 b. f(x) = e-*(x² – 5x + 2) %3D

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Q: Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the ini...

A: Given  y′ = x - xy, y(1) = 2

Q: Find the product of 34 and 27 using the following methods. Illustrate/write your complete solution 3...

A: we have to find product of 34 and 27 by using the following method 3. Russian Peasant Method 4. Latt...

Q: find the root using Regula-Falsi Method (show your table) x-e^-x=0   Ans x=0.567

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Q: ) Draw the grauf level in IR of the Funtion F(x,y) = Eon? () Curves using 2) describe he domain as a...

A: If a set is not path connected then it is not connected 

Q: In a certain barangay, the Barangay Captain would like to conduct a seminar on drug addiction. He pl...

A: The number of ways r items can be selected out of n distinct items is equal to C(n,r). The formula f...

Q: Given the argument: No dog is slimy. Cookie is a dog. Therefore, Cookie is not slimy. Write the lett...

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Q: The polluted water from Pond 1 drains into Pond 2 at 8 gallons per minute. Pond 1 initially contains...

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Q: dy dx3 y (0) y' (0) 1 y" (0) = 0 || ||

A: Introduction: The differential equation of the form D3+aD2+bD+cy=fx is third-order linear on-homogen...

Q: 2 3 2 Let vi = 1 5, and E = v V2 V3. -2, V3 -2 % = Vị V2 2 Determine if u is in Col E, the column sp...

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Q: Bernoulli Differential Equation 3. Given the equation: xy = (x² + 2y²)y' ху Find the integrating fac...

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Q: Which of the following is the general solution to the differential equation ydx = (3y + 1)xdy + y³e³...

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Q: 4. Compute for the compound amount and compound interest on P1250,00 principal for 3 years at 3.3% c...

A: Solution:-

Q: Diastolic blood pressure is a measure of the pressure when arteries rest between heartbeats. Suppose...

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Q: There are 7 men and 9 women members of a club. How many committees of 4 can be formed having at most...

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Q: Show also that the function ln(z) is unique up to addition of a constant 2πik, k ∈ Z.

A: ln(mn) =ln(m) +ln(n)  ln(am) =mln(a) 

Q: The results of a certain medical test are normally distributed with a mean of 130 and a standard dev...

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Q: 5. Let V be an inner product space over C. Show that for any v, w e V ||u||² + ||v||² (v, (v, w)w) =...

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Q: Find a continuous function. f:D → R (where R is the real number line) such that f((x1, y1)) = f((x2,...

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Q: 2. Let V be the set of all real numbers; define byu v = uv and O by cou =c+u. Is Va vector space? Sh...

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Q: en two sets: A and B. A has 8 elements. B has 9 elements. A and B share 4 elements. How many ele...

A: Given two sets: A and B A has 8 elements. B has 9 elements. A and B share 4 elements.

Q: az that satisfy a, -a, = a, – a,. az 3. In R', let Wbe the subset of all vectors v = a4 a) Show that...

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Q: Consider the following system of four equations. You are given two solutions X1 and X2. Generate fou...

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Q: Find the eu. f line through the Pont (-2,3,4) and Parallel to e Planes: 2x +3y +42-5, 3X+4y+52 - 6 4...

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Q: Use a software program or a graphing utility with matrix capabilities and Cramer's Rule to solve (if...

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Q: 1. Prove or disprove. a) det(A+B) = det(A) + det(B)

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Q: A. Prove that the function is discontinuous at the number a. Determine whether the discontinuity is ...

A: 1. The given function is a rational function. For a rational function to be defined it is a must tha...

Q: .Which of the following ordered pair is a solution to the given inequality? O A. (0,0) O B. (0,-6) O...

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not men...

Q: Prove that n3 + 2n is divisible by 3 for all n E N.

A: We prove that n3+2n is divisible by 3 for all natural numbers n.

Q: 24. Find the Laplace Transform of (1- cos t)/t?

A: As per our guidelines we are supposed to solve only one question. For the solution of the first ques...

Q: 1. Find the roots/s using Secant Method a) x - x - 10 = 0 4. Ans. x = %3D

A: Please find attachment for the details solution 

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. sin (n) sin...

A: Direct comparison Test:- Let ∑n=1∞an and  ∑n=1∞bn be two series such that 0≤an≤bn then  1. If ∑n=1∞b...

Q: (3 -2 2 3. Find the inverse of the matrix A = 1 2 -3 ) using Gauss Jordan 14 1 2 Elimination.

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Q: Using the interval bisection method find the positive root of x^2-3=0 correct to 4 decimal points, s...

A: Bisection method

Q: 2" Σ 2" a" and g(æ) = (– 1)"; n! If f(x) = E(- 1)"", %3D n! n=0 n=0 1 find the power series of (f(x)...

A: Introduction: An infinite series having the form of ∑n=0∞anxn is referred to as power series. When a...

Q: Let M(x, y) be the statement "x is a role model for y," where the domain for both x and y consists o...

A: We want to find quantifiers for given statement.

Q: Arithmetic Sequence: ag = 2,d = -2, a1 =?

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Q: Exercise 1. Show that there are infinitely many primes of the form 4n+3. Hint: you might find it use...

A: We prove that there are infinitely many primes of the form 4n+3 by method of contradiction.

Q: [3 A=-1 8 -1 -21 B=| 9 L-2 For 4 9. & 7 -1 3 1. Find: 1) 5A-B 2) 5A.B

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