find all positive integers m satisfying the condition Ø(m)=16

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A: The system Ax=b  has unique solution if determinant of A is nonzero .

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Q: 9. Classify each of the following statements as true or false where a and b are distinct natural…

A: Note: As per our Guidelines we can solve first question. Please repost remaining questions.

Q: 2. If U and W are subspaces of V such that V = U+W and UnW = {0}, then prove that every vector in V…

A: Due to Bartleby answering guidelines I have solved only first question which is question no 2.

Q: A company has two categories of workers (Grade A and Grade B) in each department. In department 1,…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Problem #7: Which of the following statements are always true for vectors in R³? (i) If u (vxw) = 4…

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Q: C Write an equation for the function graphed ab

A: Given graph is clearly a downward parabola. We know an equation of a downward parabola is  (x – h)2…

Q: 469004.3293602.qx3zay7 Jump to level 1 Let T: P2 → P₁ be defined by T (p(x)) = p'(x). Let B =…

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Q: Let {u₁(x) = -3, u₂(x) = 18x, uz (x) = -82²} be a basis for a subspace of P2. Use the Gram-Schmidt…

A: Given: It is given that u1x=-3, u2x=18x, u3x=-8x2 is a basis for a subspace of P2. Also, given that…

Q: Determine whether or not u = -7 - lies in the span of the set S = 0 If it does, write u as a linear…

A: Given: u=11-1-70 ,S=320-4,-2112,42-21 To Check: u is a linear combination of the set S

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Q: (a) Explain in a few words what is the heat kernel and what its relevance in the study of the heat…

A: (a) Let us consider a heat equation problem given by, Ut=κUxx ;    -∞<x<∞, t>0, κ∈ℝInitial…

Q: Question 1. For each of the following sets of conditions, either give an example of a unit speed…

A: Curvature : The curvature of any curve is the rate of change in the direction of the tangent…

Q: Minimize g = 11x + 10y + 12z subject to x + y + z 211 y + 2z2 8 X > 7.

A: Solution is given below:

Q: Add the following matrices, adjusting the size of the solution matrix as required. Part marks…

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Q: If the lines L 2 and L 2 are tangents to 4.x 2 + y² = 72, then find the slopes of L Find the…

A: As L1 and L2 are noemals to x2+y2=72, they must be of the from y=mx.Solving it with parabola…

Q: 3. Consider the formula A = Vr (p(x) V q(x)) → (Vx p(x) Vrq(x)). - (a) Show that A is valid. (b)…

A: Given Data: Let us consider the given function is, A=∀xpx∨qx→∀px∨∃xqx. We have to show that: (a) A…

Q: A (В) The matrix [12 15 3 0 24 6 can also be written as [12 15 3] + [-6 0 24] 3x [25] 0 8 [54] 0…

A: Here we have to find the equivalent matrix.

Q: 1. (a) Approximate f(x) = (1+z) by finding Ts(r) (the 5th degree Taylor polynomial of f) centered at…

A: Note: As per our Guidelines we can solve first parts as your all parts are not small . But I tried…

Q: mp to level Let T: P3 →>> R³ be defined by T (ao + a₁x + a2x² + a3x³) B = {x³, x², x, 1}, and C=…

A: Given ,    T : P3→ℝ3 defined dy , Ta0+a1x+a2x2+a3x3=-3a0+a1+2a2-a3a0+2a1-3a2-a3-3a0+2a1+3a2+a3 Let…

Q: OM 1. Let M (x, y) > 0 for all (x, y), and дх continuous. Explain why the system x' = M(x, y) f(x,…

A: Given: Here are the given system of differential equations: xι=Mx,y×fx,yyι=Mx,y×gx,y where…

Q: Use any method to find the relative extrema of the function f(x) = 3x³ (x + 1)². If there is no…

A: Using the differentiation.

Q: Matrix A is a 3 x 4 matrix. Matrix B is a 3 x 3 matrix. Which of the following matrix expressions is…

A: A is 3 *4 matrix and B is 3*3 matrix For option (A) , we need to explain the existence of B2-AB  As…

Q: a city in Africa, an epidemic spreads during 50 weeks according to the model of a sinusoidal…

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Q: Make a bode plot for the following system transfer function using Matlab

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Q: The orthogonal projection of the vector u =(-1,-2) on a=(-2,3) is a) b) d) 8 12 13 13 13 13 8 12 94…

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Q: Any whole number is divisible by 3 if and only if the sum of its digits is divisible by 3 TRUE FALSE

A: We have to state that the given statement is true or false.   Any whole number is divisible by 3 if…

Q: 1 -1 0 0 0 0 0 0 0 1 0 0 000 000 100 010 00 1 (E1):col2 col₂+col₁ Bker (81) V2 (E2):col3+col3-col₁ 0…

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Q: Determine the volume of block for the double a) Sphere x² + y² + z ² = 9 2 2²-9-x² - y² √a-x²-y² Z =…

A: The given problem is to find the volume of block by using the Double Integration. Given block is…

Q: Given the reduced row echelon matrix A below, identify the rows of A that form a basis for row (A).…

A: Given row reduced echelon form of matrix A is A=100005010001001002000103000012we have to find the…

Q: P8.3: Prove the squeeze theorem for functional limits: suppose f(x), g(x), h(r) are defined in some…

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Q: Let u, v, and w be vectors in R". Determine which of the following statements are always true. (i)…

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Q: If e in the image below, find a normal vector for the plane whose magnitude is 1 and whose first…

A: It is given that θ=π3. We have to find a normal vector for the plane whose magnitude is 1 and whose…

Q: Consider A(Y) = YE Is the pseudoinverse A*(y) continuous at y=0? Consider cases: 0 <y < 1, y=0 -1 <…

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Q: 4 Let the trace function be Tr(M) = m1,1 + ... + Mn,n. Define also the sum down the other diagonal…

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Q: Let W be the line y = x in R². (a) Find a unit vector u on W. (b) Consider the linear transformation…

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Q: 5. Prove Corollary 3.6: "Let u and v be vertices of a 2-connected graph G. Then there is a cycle of…

A: Let, u and v be vertices of a 2-connected loopless graph G.  Now, as G is 2-connected, G must…

Q: Question 2. Prove by induction that 52+1 +22+1 is divisible by 7 for all n E N.

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Q: A B C D Matrix A is a 3 x 4 matrix. Matrix B is a 3 x 3 matrix. Which of the following matrix…

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Q: A B (D) Which of the following matrices satisfies the condition a;; = i + j? . 41 45 н сл [33] نہ سا…

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Q: Rigid Motion Consider a Hilbert plane II, and ☀ : II → II is a rigid motion. We a point x in the…

A: The question provides several statements to be proven regarding rigid motions (transformations that…

Q: a 21 oz box of cereal costs 3.69 find the cost per ounce

A: Given that 21 oz box of cereal costs 3.69 Therefore, Cost of 21 oz. = 3.69 Cost of 1 oz. = 3.69/21 =…

Q: Yn+1 = ayn-p+YYn-h (yn-h) 9-¹+8

A: Given: The information is showing the proof of a specific theorem.To prove:…

Q: A B Ⓒ Which of the following matrices satisfies the condition a₁; = i + j ? ~~ [ ] 41 [3³] :

A: The given problem is to find the matrix which satisfies the given following condition. Given…

Q: 1. Find the volume of the solid that lies between the graph of y=√1-r and y=-V1-r whose cross…

A: Advance maths

Q: Show that R2(R) is not a vector space when addition and scalar multiplication compositions are…

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Q: 2. Show that each of the following formulas are both satisfiable and falsifiable. (a) y Vxp(x, y).…

A: Given Data: We need to show that: (a) ∃y∀x px,y. (b) ∀xpx ∨qx→∀xpx∨∀xqx. (c) ∀x ∃ypx,y→∃y qx,y.

Q: ƒ(0) if f(-0.5) = 1.93750, ƒ(−0.25) = 1.33203, ƒ(0.25) = 0.800781, ƒ(0.5) = 0.687500

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Q: A B Let m and n be whole numbers. Matrix P is of order/size m x n. Matrix Q is of order/size n x m.…

A: Given that, m and n are whole numbers. Matrix P is of order m×n and  matrix Q is of order n×m. Want:…