Show that any compact set in R is closed and bounded.

Q: a) If a| (21b−c) and 6c≅3b(mod2a), then a| 41c b) If a≅b(modc) and d|c then ?≅?(mod?) c) ∴(d|…

A: this is a question of modular arithmatic.

Q: 3 2 -1 Rank of the following matrix is A = 4 2 6 7 4 5

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Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

A: Given : the equation of a plane is  x-y+z=5  and the line passes through (1, -4, 1)  and (4, -10,…

Q: f(t) = 2t² + 4t – 3 4+2s-3s? А. c 4+4s-3s? С. s3 2+2s-3s2 В. 2+4s-3s2 D. s3

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Q: Let (G, ) denote the set of all 2 x 2 real matrices A with det{A} 0 Question 5. and det { A} E Q…

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Q: [2 If x + 2y = [1 -31 and 2x + 5y = [7 51 , then y is equal to ? 2 3 [3 11] 1. 7 [3 2. -7] [3 11 -7]…

A: The given problem is to find the matrix y with given matrix equations. Given x+2y=2-315 and…

Q: Suppose that the marginal propensity to save is ds = 0.3 - dy (in billions of dollars) V 9y + 6 and…

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Q: Graphs of f(x) (solid) and g(x) (dashed) are given below. Use them to find the following yes. Show…

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Q: i need this in words not handwritten please Rewrite this

A: 2) Advantages of a Vector Space Vector space is set objects which staisfies some properties. Once we…

Q: Let R be the ring of continuous functions from R to R. Prove that M = {f e R : f(0) = 0} is a…

A: To show that the given subset M of R is a maximal ideal, we first show that M is a ideal of R and…

Q: Using definition of Laplace transform, find F(s) if { 0 4. 2 f(t) = e(1–2t)

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Q: Consider the sequence {an} where an is given by -{ (n³ – 1)/n³, if n is odd, An = (n² + 1)/n², if n…

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Q: go SL x* dy- dy ax where L is segmeut bekueeu two pailuts (9,0) aud (1,0)

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Q: = The value X3 .3 -2 x1 + 6 x2 + X3 – X1 +x2 + 7 x3 = -6 4x1 – x2 – X3 = 3

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Q: Suppose that f: G → G such that f(x) = axa. Then fis a group homomorphism if and only if a = e O a^4…

A: Given that f:G→G be a function such that fx=axa

Q: Determine which number, 0 through 6, is the given number equivalent to in modulo 7. Write your…

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Q: f(t) = cos? 3t s2 +9 А. s(s2 +36) s2 +18 C. s(s2+36) s2 +6 В. s(s2 +9) s2 +18 D. s(s? +9)

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Q: 1 -1 2 -1 1 1 A = 1 1. 2. 1 1 3. 3 2 0. -10 0 -10 want -5 0 0. 2. B = 2 10 4 -5 -4 -2 From the given…

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Q: 1 7 8 r5 1 2 -2 3 5 -6 -9 12 -2 -3 -4 0 -9 -7 -8 -4 1 A B 5 [10 -11 1 3 4 С %3D diag(6, —4, 13, -15)…

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Q: (ii) - 1)" -1 п (п - 1) ,0 <x < 1. n = 2 8

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Q: Cookie salon is celebrating their second anniversary. They are offering hair service for only ₱699…

A: Discount = 1699 - 699 = 1000.

Q: Use a compass and stralghtedge to decide whether each set of lengths can form a triangle. 7 cm, 6…

A: Concept: To form a triangle, the sum of any two sides of the triangle should be greater than the…

Q: Consider the two matrices: 2 4 1 -5 A = B = 2 Compute A + 3 B. The result is equal to: Select one:…

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Q: 5. (Ci | Show that L{e"t"} = n! in two ways: (s- a)n+1 (a) Use the translation property for F(s).…

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Q: What is the probability that a 5 card hand contains 3 reds and 2 blacks? O 13 Cax13 C2 52 C5 26 C3X…

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Q: Given the following matrices, perform the indicated matrix operation. 1 7 8 0 [5 1 -2 -3 -4 0 -9 3 1…

A: Solution

Q: -x², 5х - 4, 4x* - 3х, 1<x<2 X <0 0 <x<1 If f(x) = then f(x) is discontinuous at x = Зх + 4, x 2 2…

A: f(x) is discontinuous at x if left hand limit not equal to right hand limit

Q: Consider the triangle shown in the figure below. a. Find the equation of the straight edge OA. b.…

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Q: Find the Laplace Transform of cos(2t) + 7sin(2t) S- 14 A s2+2 14 s2+4 s2–4 14 s2+4 s2+4 s+ 14 s2+4

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Q: Use Fermat's Little Theorem to find each value. Remember, x-1) =1 (mod p). Write your answer in…

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Q: det (A) = 1. %3D

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Q: -2 -2 B= 3 4 If A= 2 3 then (4+B) is: -1 1 (a) 1 (b) does not exist (c) is a skew-symmetric (d) none…

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Q: Let {bn} be a sequence whose limit is 3. Show that if B is an upper bound of this sequence, then 3 <…

A: We will use the definition of limit.

Q: 6. Simplify. Write as a mixed radical in lowest form. V300 – 5/27 + 2/12 - [5,5] a) b)

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Q: "MAXIMA AND MINIMA" A man launches his boat from point on a bank of a straight river, 3 km wide, and…

A: Given: Let us consider the given, Row speed=6 kmhr Run speed=8 kmhr

Q: 2. Determine a basis for and the dimension of the solution space of the homogeneous system X3 + X4 +…

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Q: hat is the d

A: Given,          f(x)=(0.5)(0.5)x

Q: x+ 2 2x – 3 x+1 4 If A = is symmetric, then what is x equal to? | 1. 2 2. 3 3. -1 4. 5 Select the…

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Q: [1 0 If A 2 -21 , then the matrix X for which 2X + 3A = 0 holds true is -3 4 -3 -올 3 3 6. -6 Select…

A: Find the matrix X for which 2X+3A=0.

Q: Evaluate the series below. At what point will it converge? En! (x + 2)" n=0

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Q: Question 6. Given a group (G, *) and a nonempty set S. Let GS denote the set of all mappings from…

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Q: PAPER 1 5. FACTORS OF POLYNOMIALS page 5 J2006 1 The cubic polynomial f(x) is such that the…

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Q: Q1: A sketch of the graphs of two sinusoidal periodic functions ?(?) & ?(?) are shown below. The…

A: Given: Let us consider the given two sinusoidal periodic functions fx and gx

Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

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Q: what Is the gimplest form of 5i (1-i) (2-i) (3-i) a. -10i -5/3 C. b. -8i d. -V½

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Q: x1 + 2x2 = -1 4x1 – 3x2 18

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Q: 21 [x] -308 X If (2x 3 0, then the value of x is 23 2 13 2. 2 13 3. 2 23 4.

A: Given equation 2x312-30x8=0. We have to find the value of x. Zero matrix A zero matrix is just a…

Q: QUESTION 2 Let V be the set of all ordered pairs of real numbers with addition and scalar…

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Q: Find all proper nontrivial subgroups of Z; x Z, x Z;. Find all subgroups of Z; x Z, of order 4.

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Q: To accommodate more depositors, new investment products were made available to the small businesses…

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