1. Express B= 2i +j-3k as the sum of a vect or purallel to A= 3i - j and a vect or arthogonal to A. r - %3D

Q: . Read about the Integral Test in Section 11.3 and, specifically, through example 2 to see how 1 the...

A: You have asked two different question. We shall answer first question only. For others kindly post a...

Q: Let a = and b =. Show that there are scalars s and t so that sa + tb =. You might want to sketch the...

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Q: • Problem 1. Let (V, (-|-)) be an inner product space. Show, for all v, w e V, that |(v\w)| < (v|v)'...

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Q: 3. (a) Let ƒ(x)=| -3. (i) Find the zero of f(x). (ii) What is f(-5)? What point is on the graph of f...

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Q: L[(t-)fu(t-4) +(tr)sinh(t-)]

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Q: Problem 2. Let a, b ɛ R, with a < b. Consider the set B[a, b)] of all bounded functions from the int...

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Q: Problem 3. (a) Determine the cosine of the angles of the triangle whose vertices are A(1, –2, 1), B(...

A: The law of cosines generalizes the Pythagorean formula to all triangles. It says that c2, the square...

Q: a) Draw an accurate graph of the portion of f(x,y) that is above the xy – plane. b) Describe the 2D ...

A: We have to graph the function.

Q: 2. a. Fill in the table and sketch the graph of the following equation. f(x) -2x - 5 3x + 18 Vertica...

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Q: Construct a Venn diagram to determine the validity of the given argument   No vendor owns a gun    ...

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Q: /10x Problem 02: Find the value of the following integral a) o In sin xdx b)

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Q: (1) To what value does this sequence converge? (2) Use ro = 1 to approximate the limit in part (1) t...

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Q: 1. Suppose b,, b2, b3 .. Is a sequence defined by b, = 3, b2 = 9, bu2 + br-1 for all integers k >= 3...

A: We have to prove the given statement using mathematical induction.

Q: Your answer is correct. Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = xo, and t...

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Q: Use Euler's method to approximate the indicated function value to 3 decimal places, using h = 0.1. N...

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Q: Show that the function f(z) = from [0, 0) to [0, ∞) has a fixed point c. Hint: Set f(r) = z and show...

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Q: Let f(x) be defined as f (x) = e* + 2x2 %3D a) Starting with the initial interval [-2,2], perform th...

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Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 36.2y = x? %...

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Q: Consider the sequence r - 7 5x Xi+1 = x; i = 0, 1, 2,... (1) To what value does this sequence conver...

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Q: 2. Suppose x,, X2 , X3 ..... Isa sequence defined by x, = 2, X2 = 4, bk-2 + 2bk-1 for all integers k...

A: Since you have asked multiple questions, we will solve the first question for you. Note:- In questio...

Q: 3 Solue Cy+2*g³)dx + C2+3x' (2+ 3x*;'+ x) dy=0

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Q: Using the definition, not the table, find the Laplace transform of f(t) = 2, 0 ≤ t < 1 e^2, 1 ≤ t ≤2...

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Q: cosQ -sinQ Rotation matrix on the plane (2n - 2). R = sinQ cosQ :: -W A _I Rw R = w W = show me that...

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Q: What is the quotient when (2x^4 + 4x^3 – 5x^2 + 2x – 3) is divided by (2x^2 + 1) using long division...

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Q: Let a b A =| d f e i and 2g B = -2d -2e -2f 2h 2i 2a 2b 2c Given that det(A)=1/24, what is det( B-)?...

A: Let A be a determinant of the order: n×n. Using the properties of the determinants, it can be writte...

Q: y''+2y'+5y= 4e^(-x)cos(2x) y(0)=1, y'(0)=0

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Q: a. Find the Laplace transform F(s) = f(t)} df thể füñction f(t) + sin(8t), defined on the interval t...

A: Laplace transform of the function

Q: • Problem 2. Let a, b e R, with a < b. Consider the set B[a,b] of all bounded functions from the int...

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Q: 4. Prove that given any integer for n, n3 + 2n will be divisible by 3.

A: We have to prove by induction.

Q: Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of frien...

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Q: Let f: ZxZ → Z×Z be defined by the formula f(x, y) = (2x+3y, x+2y). (1) Find the inverse map g = f ^...

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Q: Can you translate this into words? Please explain the solution in detail because I'm going to make a...

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Q: 2xy y' 2 =x-2 x-4 4.

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Q: Is (x + 2) a factor of the polynomial: x^4 + x^3 - 2x^2 + 3x + 7, and what was the remainder? * no, ...

A: Solution

Q: 5 Let L = and U = Let Aj = -3 A2 = A3 = 2 8 A4 = -2 -2 Which one of the following statements is corr...

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Q: Solve dx- dy

A: Here we can use variable separable method to solve the given differential equation. This method is a...

Q: 5.13 A square matrix is a matrix that has an equal number of rows and columns. In mathematics, m x m...

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Q: When solving the system below with Laplace transforms, what is the partial fraction expression that ...

A: Laplace transferom

Q: Let n e N. Find all elements fa] e Z of order 2.

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Q: Consider the series (In(2n + 1) –- In(2n - 1)). n=1 (a) Let a, = In(2n + 1) – In(2n – 1). Does {a,} ...

A: We first check whether the given sequence in (a) is convergent or divergent.If it is not convergent ...

Q: A sequence is defined recursively as sk = Sk-1 + 3k for k > 2. %3D S1 = 4

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Q: With its new global mobile phone service, Ultra Mobile offers the following price schedule: • Your f...

A: To find the consumer surplus

Q: ( ) - - H) (12 (a) Using Gaussian elimination, find a vector v such that 12 (b) Give an example of a...

A: The system of equation Ax=b has a unique solution if rank (A) =rank(A|b) =number of variable.  And h...

Q: The temperature T (in degree centigrade, "C) in a solid metal sphere is given by the function e-(a+y...

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Q: consider the degree 4 LFSR given by polynomial p(x)=x^4+x^2+1. What kind of polynomial is this p(x)=...

A: The given polynomial p(x)=x^4+x^2+1 With 4 LFSR. 

Q: b) The point (-9, -2446) is on the transformed function f(x)=7|}(x, 5)|3– 45 use the transformation ...

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Q: prove. Prove that the polynomial 1+x+x^ 2 +...+x^p-1 . where p is a prime number, is irreducible ov...

A: Notice that we cannot directly apply Eisenstein criterion to prove that the given polynomial is irre...