Let a and b be vectors in R" such that ||a||=|| b||=2 and (a,b)= — . Then ||a - b||= ...

Q: The resulting expected value is incorrect, please calculate it again using fractions preferbly.

A: R1PC=10000-197-7803010-9131313 Use matrix multiplication to evaluate the value. R1PC=0-19131313…

Q: Prove the argument by contradiction. If a is any integer and a3 + 5 is odd then a is even.

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Q: Solve for the maximum of f(x, y) = x²y + 3x² − 6 xy² - 18 xy +9y³ + 27y² subject to f(x, y) = -x -…

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Q: 5. Let U = {(u1, U2, U3) E R3³|u₁ + u2u3 = 0} and V = {(v₁, V2, V3) E R³|v1 - 302 +503 = 0}. (a)…

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Q: Solve 2y-y² sec²(xy²) + (2x−2xysec² (xy²)) y'= 0; y(1) = 2

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Q: a -8 b If C 4-3 b has eigenvalues ₁=1, A₂=2, A3, which of the following is equal to b? 3-4 1 O Ab=8…

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Q: 4. dy dt -2y+√(t− 3) + 2H(t — 4), y(0) = 1.

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Q: The function f(x,y) = 6xy has an absolute maximum value and absolute minimum value subject to the…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A: Using cylindrical shells method volume is 1152pi/7

Q: (a cos 2πt)u(t) sin 21T 3 +

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Q: f(x) is apart of a quartic family of functions. f(x) ≥ 0, -1- √5 ≤ x ≤2-√√2,-1+√5 ≤ x ≤2+√√2 .…

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Q: Use the reduction of order method to solve the equation y" + 2y' + y = 2e-

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Q: Let V be a discrete random variable such that P(V=v)= for some (v+1)² k positive constant kand for…

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Q: 4. Find all solutions in the complex numbers to the following equations. (a) z5 = z. (b) 24 = iz².

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Q: Let 7 be a real number. Which of the following is equal to T T -2 (ED)*+E)* r2 3 0 None of the these…

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Q: Find the maximum and minimum values z = 2x y subject to the constraints CHIC TUNICLISTI

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: The ideal gas equation is given by PV R where T is the temperature, V is the volume, P is the…

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Q: 1. Find the coordinates of the focus, the equation of the directrix, and the length of LR for each…

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Q: Classify the critical points of the plane autonomous system corresponding to the second orde…

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Q: 1. Define a relation that will relate the elements of set ? to elements of set ?.      2. Is the…

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Q: With the use of the the Second Derivative Test, determine the relative extrema and saddle point(s)…

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Q: . Function: f(x): 2x-1 (0,1) -1<2x-1<1 f^{-1}(x) = (x+1)/2 (-1,1) x belongs to the set A A={1,2,3},…

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Q: In Z[i], let α = 8 + 6i and β = 5 − 15i. Using Euclidean Algorithm, find a gcd d for α and β in…

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Q: Let T be a linear transformation from V to W. Prove that the imageof V under T is a subspace of W.

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Q: 2. In a group G, (ab)³ = a³b² for all a, bEG, and that 3 does not divide order of G. Prove that…

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Q: Find punctured intervals on which the function f(x)= a) x=0 b) x=-1 c) x=-1.5 1 xln(x + 2) is…

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Q: Can we obtain a diagonal matrix by multiplying two non-diagonal matrices? Give an example

A: Yes, this can be possible. There exists two non-diagonal matrix, product of these is diagonal…

Q: 3 1 1 Let A 7 -5 1 The basis for the eigenspace corresponding to one of the eigenvalues of matrix A…

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Q: I. Evaluate S x² +6 x³ + 3x dx.

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Q: Show that 1 - i is an irreducible in Z[i].

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Q: give me a chart showing notice that the high and low as shown to the right what is the difference…

A: Given, The chart is  Open = 65.61 High = 65.84 Low = 65.08 Volume = 6,649,212 Avg Vol = 8,263,000…

Q: Find the extreme values of g(x, y) = x² + y² + x²y on the circle x² + y² = 12 using the method of…

A: Given g(x, y) = x² + y² + x²y on the circle x² + y² = 12 using the method of Lagrange multipliers.

Q: For each function f, give O(f) using any of the properties in the last 4 slides. In each case,…

A: We know, f(x) = O(g(x)) if f(x) &lt; cg(x) for some positive integer c, and x &gt; x0 for some x0.…

Q: Problem 2. How many positive integers less than 1000 are multiples of 3, 5, or 7? Explain your…

A: Inclusion and exclusion  principle:        if the first job can be done in 'n' ways and the second…

Q: Find linearly independent functions that are annihilated by the given differential operator. (Give…

A: We have given a differential operator, D2D-6D-8. Here consider D2D-6D-8=0. It's auxiliary equation…

Q: Problems 1-4: Compute the gradient of the function at the given point. 1) f(x, y) - 4x2-2y. (-3,-4)…

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Q: Given the vectors OA.O v₁=(-1,0,2), v₂= (0,2,-3) and v₂=(2,2,3), suppose v is another vector which…

A: Given vectors v1=-1,0,2 , v2=0,2,-3 , v3=2,2,3 Suppose v4 is vector orthogonal to v1 and v3 and v2 ,…

Q: Is a subset of the plane {(x1, x2); x1 > 0, x1x2 ≥ 1} convex? Justify.

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Q: dy dx -y=xy³

A: The given differential equation is: dydx-y=xy5 We have to solve the given differential equation.

Q: Use the following table to answer the question: Risk Factor Exposed (E+) Not Exposed (E-) Totals…

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Q: If A=P-¹BP then B=Q-¹AQ for Q¹ =P where A,P,B and Q are square matrices of the same size. True False

A: A matrix is a mathematical object containing numbers arranged in rows and columns. The size of a…

Q: Let Q be a 3 × 3 orthogonal matrix whose determinantis equal to 1. In the case that the eigenvalues…

A: Given: An orthogonal matrix of size 3x3 whose determinant is 1.Its two eigenvalues are complex. To…

Q: If Jack's age is three years more than twice Tina's age, t, then which of the following represents…

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Q: Construct a trace table to trace the action of the Euclidean Algorithm for the imput variabless 1570…

A: To Construct: A Trace table for the action of Euclidean algorithm for inputs a=1570, b=488.

Q: s +7s³ +35² +2 4

A: Please find the answer in next step. We use special tools to identify exact roots of the polynomial…

Q: Problems 5-6: Find the derivative of the function at the given point in the direction of A. ( 5)…

A: 5. Given,            f(x, y, z)=-2x-7y+8z, (-9, -8, 5), A=3i-6j-2k.

Q: Q1. f(x) = x³ + x² 12x - 18 (a) Use the factor theorem to show that (x + 3) is a factor of f(x). (b)…

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Q: Solve the following congruer ) 13x = 7 (mod 8)

A: We have to solve the given congruence.

Q: A student is maximizing his productivity given by the function P(x, y) = x2ey, where x and y are the…

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Q: = linear system given by: = 10 = 9 = 1

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