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Q: 4. Calculate Fourier transform : for a >0 r(t) = e-a'u(1)

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: n(3x)+sin(5x - 4) - 3 Using Centered Differencing. h = 0.002 O 4.86693212 O 4.876145534 D -4.6295113...

A: Equation is f(x) = ln(3x) + sin(5x - 4) - 3

Q: Let y be a solution of the differential equation cos y sin y de = ), where sin y > 0, for all y such...

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Q: a) Find all m >1 such that 27 = 9 (mod m).

A: According to guidelines we solve only one question.

Q: . If A and C are non-singular matrices, then show that A 0 A-1 В С, - C-'BA-1 C1 0 0 0 0 2 0 0 3 0 4...

A: To show the below statement if A and C are non-singular matrices. AOBC−1=A−1O−C−1BA−1C−1 To find the...

Q: Determine the amplitude, period and displacement for the given function, and sketch the graph of the...

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Q: Let y be a solution of the differential equation * such that y(1) = 1+?. If x = fo, then the value o...

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Q: Use the simplex method to solve the linear programming problem. Maximize z= 3x, +5x2 subject to: x, ...

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Q: Solve (yx-2x^4)p+ (2y^4 - x³y)q = 9z(x? - y^3)

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Q: .Given Boolean expression f, where flx , x, x3) = (x;' ^ x2) v (x;' n x3) v (z, Ax), simplify this e...

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Q: Show that if E1 and E2 are measurable, then m(E U E2) + m(E1n E2) = m(E1) + m(E2).

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Q: Let y be a solution of the differential equation 2 * - (). where a + y +1 > 0 for all æ, y I+y+I suc...

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Q: Q. find the apPtoximation of the follo values, which Ts dfetent betueen the intelers 22/7 dr - 2+ si...

A: We can solve this using trapezoidal rule

Q: 2. What will be the new volume of this prism if a scale factor of 1.5 is applied to the dimensions?

A: Given,         and  Scale factor = 1.5

Q: Official with all four sides equal. ng a

A: We have to show that angel x and angel y congruent. Step by step with properties of rhombus.

Q: (8) If A is strictly dominant matrix, then || A l2= p(A).

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Q: D=7e 7x. [0,00) s Property 2 of the definition of a probability density function? The area under the...

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Q: Q2 Find Domiain and Rang メー2 2. y = 3-X

A: Given y = x - 23 - x

Q: 15с) — Зс2 — сз %3D 3 800 -Зс, + 18с, — бсз 3D 1 200 —4cт — С2 + 12с, 3D 2 350 |

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Q: Graph an appropriate periodic extension of f(t) = 3t, 0<t< T, and hence find its half-range cosine s...

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Q: Determine which of the items is true. a. The sequence {3¯"}is increasing and bounded. b. The sequenc...

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Q: 8x4x44

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Q: Find the row and column ranks of the following matrix 1 3 2 1 2 -5 1 2 0. 1 -2 1 1 -2 2 2- 3 2 1 5 8...

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Q: Evaluate tne below exprassion using De Moivres meorem-

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Q: Consider the set of vectors in R such that 1223 0. If these form a subspace, show that is satisfies ...

A: See below for solution.

Q: Solve the following system by Gauss-Jordan elimination. 2x1 + 3x2 + 5x3= 25 6x1 + 10x2 + 19x3= 81 %3...

A: The solution is given as  

Q: Q: Let f(x) = x² – 2 , - 2 <x < 2, period = 4 1- Sketch the graph of f (x) 2- Is f(x) odd or even, o...

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Q: Find k such that the function is a probability density function over the given interval. Then write ...

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Q: Let h, k, r, m, t E R. A general equation that corresponds to the above surface is: (x – h)² _ (z – ...

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Q: Ginny knits two different capes. The ‘Ginny’ model requires 3 hours of knitting and 7  hours to embe...

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Q: Matrix B:

A: Given two matrix A and B  ,we have to find the value of A-B.

Q: 2. Consider a square ABCD and an equilateral triangle BCE in its exterior. Let F be the midpoint of ...

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Q: Determine whether the series is absolutely Convergenty conditionally convegent,ordivergent. n²+2n+3.

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Q: 66. A car travels from one city to another at 40 miles per hour. On the return trip, the rate of the...

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Q: The value of E[(i=O)^4]i! is О 32 O 36 O 30 O 34

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Q: 5. Consider the following linear programming problem Maximize: P=12x1 +10x2 subject to: 5x1 + 3x2 <1...

A: Given- Consider the following Linear programming Problem: Maximize: P = 12x1 + 10x2subject to: 5x1 +...

Q: - Find in terms of Jo and J:

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Q: 4. Fill in the blanks Let y be a solution of the differential equation + (1+)y = , where x > 0 such ...

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Q: Set up a double integral in rectangular coordinates for calculating the volume of the solid under th...

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Q: Consider T E L(V). (a) Suppose U is a subspace of V invariant under T. Prove that U is also invarian...

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Q: Given the surfaces: S : y? = S4 : y + z = 6, S5 x 0, S6 : y = 0, S7 : z = 0. 2x – 4, S2 : x +y = 6, ...

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Q: Consider the solid Q that is generated in the first octant by the surfaces S1: X + y = 4, S2: y +z =...

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Q: Q: Let f(x) = x² – 2 - 2 < x < 2, period = 4 1- Sketch the graph of f (x) 2- Is f(x) odd or even, or...

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If the func...

Q: 2. Consider a square ABCD and an equilateral triangle BCE in its exterior. Let F be the midpoint of ...

A: Given that ABCD is square and BCE is an equilateral  triangle.we have to prove that ED is the angel ...

Q: Topic: Complex numbers Instruction: Perform the indicated operations. Express results in rectangular...

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Q: how do I termine the range of the function 1/ -x^2 - 6x - 10

A: Range of the function

Q: Let V be a vector space over F. Let T E L(V). Suppose PE L(V) is invertible. (a) Prove that T and P ...

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Q: Question 1 Determinants (a) Find the determinant of the matrix [1 r A = where z e R. (Hint: Use row ...

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Q: Hello, can you help me for this math (complex function)? Find the fixed point , r and angle of f(z) ...

A: For a fixed point z, we have f(z) = z.  =&gt; (3 - 4i)z + 2 - 7i = z =&gt; (2 - 4i)z = -2 + 7i =&gt;...