"If G has a walk that uses all the edges, then G is connected." I know that this statement is false but how can I prove that it is false?

Q: Given a vector space V. Let TEL(U,V) and o E L(V, W). Show null(07) ≤ null(7) + null(o).

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Q: Let Integrate JIS (² D (y² + x² 64 (²). dV= D = {(x, y, z) = R³ | x² + y² ≤ z²,0 ≤ z≤4}. In a…

A: We can find the triple integral.

Q: A dietician is planning a snack package of fruit and nuts. each ounce of fruit will supply zero…

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Q: Show that T is a linear transformation by finding a matrix that implements the mapping. Note that…

A: T(x1 , x2 , x3 , x4) = 3x1 + 4x2 - 3x3 + x4            = [3     4      -3     1] ((x1 , x2 , x3 ,…

Q: Dylan drew n dots on a piece paper making sure that no three ponts were collinear. the number of…

A: We have to find number of triangles that can be made using given data.

Q: i) Starting from the variation(s) of the action (or Lagrangian), derive the Euler-Lagrange…

A: Note: As per the instructions we will only solve the part (i) and (ii)   As per the question we have…

Q: A3. (i) Show that the derivative of the following distribution T = H (x) - 2H(2-x) where H(x) is the…

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Q: You were asked to identify the property that justifies the following statement, if it is true:…

A: The given statement is -7x+253y2-z=13y2-z⇔-7x+8y2=0. We have to check whether the statement is true…

Q: Identify the conic section represented by the equation 5x2 +4y+5y? = 9 by rotating axes to place the…

A: We can find equation of conic.

Q: 5. Determine whether or not the following vectors in R³ form a basis for R³. (a) u (3,-1,2), v=…

A: Any three vectors in R3 forms a basis for R3 if they are linearly independent or we can say that in…

Q: Find the angle in degrees between vector a = and vector b =

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Q: A lamina with inner radius 2 and outer radius 4, shown here (not to scale): has density function:…

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Q: Assume that z = f(x, y) is a continuous function over the region R. Assume a = 7 and b = 2. R r=b ax…

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Q: Please prove 2(b)(iv)>(v)

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Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

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Q: Use the chain rule to find the indicated partial derivatives. p+q p+r AN ди aN Əv AN ?w = = = N = P…

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Q: Tutorial Exercise Determine whether the geometric series is convergent or divergent. If it is…

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Q: Consider the following two systems. (a) S-4x - x + 3y Solution to system (a): x = Solution to system…

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Q: Show that p q is equivalent to (pv q) → (p ^ q) by: drawing a truth table;

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Q: graph without isolated vertices (all vertices mus

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Q: Suppose we know that u v = u. w. Does it follow that v = w? If it does, give a proof that is valid…

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Q: For the system consisting of the lines: r1 = (-4,9,8) + t(-3,-3,3) and r2 = (-3,6,7) + u(-2,-3,2).…

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Q: Let b = why not? 1 -1 3 and let A be the matrix 138 4 102-4 012 3 -220-2 Is b in the range of the…

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Q: 9.4.10 Find a basis for U=AE M2,2 ={A dimension of U? 2^G 9-6-14). What is the

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Q: 3. Consider the function where x = (a) (b) (1 – y) −¹. z = x² - e5xy + y √1. +1³, Find the partial…

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Q: consider the function f(x,y)= arcsin(2x+y). Find and sketch the domain, and find the range.

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Q: Consider the elliptic curve E: y2 = x3+3x+2 mod 7 Find and list all elements of the group. Verify if…

A: Introduction: The Schoof-Elkies-Atkin algorithm is an algorithm for computing the number of points…

Q: For the third quarter, Micro Tech had gross sales of $315,450, sales returns and allowances of…

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Q: Calculate the flux when and the surface S is given by with 0≤u≤and 0 ≤ v≤ 2. Use the surface normal…

A: The given problem is to evaluate the given surface integral of the given vector field F over the…

Q: Find the volume of the solid enclosed by the paraboloid x² + y² = 2z, the xy-plane, and the cylinder…

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Q: Complete the following table: (Do not round net price equivalent rate and single equivalent discount…

A: Given that: List price-$199 and chain discount 8/6/3. To find : Net price equivalent rate can be…

Q: In Exercises 8-13, solve the given initial-value problem. dy 9. +9yus(t), y(0) = -2 dt dy 8. =u₂(t),…

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Q: 1. Consider the points in R³ given by A (3,-1, 1), B (2,0,−2), and C(−1, 2, 1). Find the following:…

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Q: y" - 2y y""y" + 2y = e2 (cosx-3 sin r). 21 - 4y + 4y = 5-e + c²r.

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Q: Find the limit. Enter DNE if the limit does not exist. z²y lim (z.) +(0,0) x² + 7y²

A: Given that the limit limx,y→0,0x2yx2+7y2   .

Q: 4. Determine whether the following statements are equivalent: →>> (a) p (q Vr) and (p A~q) → r (b) p…

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Q: Characterize all local and global extrema of the following functions

A: a) The function f(x)=2x4-x2, where x∈(-1,1) b) z=-4x2+2y+x, where x∈[-2,2] and y∈[-2,2] To find the…

Q: Determine by inspection whether the vectors are linearly independent. Justify your answer. 3 -2 0 3…

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Q: 2. For a linear function f: R" Rm, which of the following statements is/are true? Select all that…

A: Given , f: ℝn→ℝm be a linear function . (.)  A function  f:ℝn→ℝm is a linear function if , (i)…

Q: (b) Prove that (un)neN converges and the limit is √5. Make sure you clearly state any theorem you…

A: Introduction: The Monotone Convergence Theorem states that if a sequence (an) is monotonic (either…

Q: 6. y" + 6y' +9y = - 5e²x Find: a) Homogeneous solution b) Particular solution c) Total general…

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Q: Part 3 se your answers above to now express the function as a power series (centered at x = 0). (1)…

A: Given h(x)=x22+x3. We have to express h(x) as a power series centered at x=0.

Q: b) Let the functions f, g and h be defined as follows: f: R→ R ; f(x) = 4x − 3 g: R → R; g(x) = x² +…

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Q: 33. Show that the transformation T defined by T(x1, x₂) (2x₁3x2, x₁ + 4, 5x2) is not linear. = 34.…

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Q: Solving a differential equation using the Laplace transform, you find Y(s) = L{y} to be Y(s) = 2s s²…

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Q: Express the quadratic form (c₁x₁ + €2₂x2 + ... + Cnn)² in the matrix notation TA, where A is…

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Q: Let V be a vector space with dim(V) = 3. Explain why any T: V → V has at least one real eigenvalue.

A: Since, V has dimension 3, any linear transformation T: V → V can be represented by a 3x3 matrix A…

Q: (0.862069,-1.54167) At least one of the answers above is NOT correct. Consider the system of…

A: Given: Let consider the given system of equations is  dxdt=x1-x5-ydydt=y1-y6-x Introduction:…

Q: tanx-sinx (9) lim- 20 X (2-x (11) lim *-0 =0 STY 1 =e *-0 sin3x Xx -1 (+71) ². = 6 Fe (12) lim -2

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Q: Example 2. Find L{t"}

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