Evaluate the integral. x/6 2 S [(5+2 c [(5+2 cos t)i + (sin t)j + (sec² t) k] dt = -x/6

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A: Given Data: Let us consider the given data, Distance =500 miles. Time =10 hour. To Find : x and y.

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Q: THEOREM 1.7 (Gram-Schmidt process). Let X be an inner product space and let {₁,..} be a linearly…

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Q: 5. Anne has a certain amount of money in her bank account on Monday morning. During the day she…

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Q: Here are two right triangles If (y)/(2)=0.7, what is the measure of angle a to the nearest degree?

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Q: Either a triangle whose vertices are A(-2, -1, 3), B(7, 8, -4) and C(5, 0, 2). Using an operation on…

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Q: 2. Find vectors v, w E R³ such that v + w = (1,3,7), v is parallel to (1, 0, 1), and w is orthogonal…

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Q: Problem 2: (a) Is the equation below Linear? If it is, rewrite it in the normal (canonical) form. dy…

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Q: (a) Using Euclid's algorithm, solve the equation [25] 57 X = [4]57 for X € Z57 Show your working.

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Q: If dimension of a vector space is n where n > 1 and v1 ∈ V a nonzero vector, then there exists…

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Q: The graph to the right shows the heart rate of a person watching a short romantic film, where x…

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Q: a. Set up an integral for finding the Laplace transform of f(t) = 3. -5.₁² F(s) = L {f(t)} = where A…

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Q: Using the Simplex Method, solve: Maximize 5x1+x2 3x12x2 ≤ 6 subject to-4x1 + 2x2 ≤4 x1, x2 > 0…

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Q: Which polynomial function is of a greater degree? f(x)=4-2x^(2)-5x^(4) g(x)=5x^(3)+12x^(2)+2x Select…

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Q: -at² - 2 @ Show: Sē jeate dt - 17€ е = a 2 -at 1 Find the Fourier Transform of f(t) = ē

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Q: Determine if the columns of the matrix A = Yes O No -2 1 40-4 are linearly independent. 24 6

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Q: What is true about the preimage of a figure and its image created by a​ translation?

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Q: After finding your friend, you search for the buffet place. Again it is crowded. You want to know…

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Q: (3) Consider the surface f(x, y) = x³ + y² + sinx+e" - xy. (a) Find the gradient Vf(x, y) and…

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Q: Use determinants to decide if the set of vectors is linearly independent. -3 10 - 12 3 -2 - 12 0 8 2…

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Q: Find dy dx dy - if x(4x) = 5x5 + 3y4. dx = || X 4

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Q: The plane z=Ax+By+C is to be "fitted" to the following points (XK.YK.Zk): (0,1,1),(-1,-1,0),…

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Q: Given the following data: x 2.5 3.5 5 6 7.5 10 y 13 11 8.5 8.2 7 6.2     Compute f(2.8) using…

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Q: For the Boolean functions X(D,E,F) and Y(D,E,F), as given in the following truth table: DEF X(DEF)…

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Q: Question 2 A force field (in newtons) is defined by (b) F(x, y) (d) +* where coordinates x and y are…

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Q: Construct the payoff matrix for this game. (Enter the values as integer percents. So 1% would be…

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Q: 1. 4y" + y = 0 3. y" - 36y = 0

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Q: John discovered that he also has a pair of boots and a pair of dress shoes in his closet. Make a…

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Q: Let - -8--8-- (a) Find the transition matrix T corresponding to the change of basis from (e₁,e₂,e)…

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Q: Consider the function f(x) = x² + 3x + 1 defined in the interval [-2, 2] and extend it as a periodic…

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Q: discs and Using the concept of Gerschgorin similar matrices, what statements can you make about the…

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Q: Solve the equation y" - 2y + 2y = 1 sin t

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Q: V. Determine which of the following are Bernoulli's equation and, if so, find the general solution…

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Q: Fill in the missing numbers. X 6 683 08 56 1 42 2 1 6 3 660 8 | 16 80

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Q: If a is congruent to b mod m and a is congruent to b mod n, show that a is congruent to b mod mn.…

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Q: 2. Solve the following simultaneous equations by elimination: (3x - y = 5 4x + y = 9 a) b) {3x 7x

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Q: Let T: R² R² be a linear transformation defined by a. Find the standard matrix, A, for T. A T(x₁,…

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