If Hof(x); p) = F(p), then Milaihaq Holf(x-a) H(x-a); pl = [q ni=-00 of faqesh diw. (ii) yiliga nall

Q: Find a basis for the solution space of the given homogeneous linear system. X₁ - 3x2 - 9x3 5x4 = 0…

A: Matrix form of the given system 1-3-9-522-21416922 Lets use row operations to find general solution

Q: Which cross-section absolutely cannot be used when solving the problem in the lesson? a. Disks b.…

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Q: What is the differential equation corresponding to the general solution y² = Cx³? dy A dx-2x = dx 2y…

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Q: in rectangle WASH, point E lies on line SH such that angle AWS is congruent to angle HWE. Point D…

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Q: The general solution of the equation (D4+D²)y= -12 is Ay=c₁ + C₂X + c3cOSX + Casinx -3x² B y=C₁ +…

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Q: Find a particular solution Ур of the following equation using the Method of Undetermined…

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Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A: Force on spring to stretch it x unit of length  F=kx where  k is spring constant  Work done to…

Q: 2) A jar contains 4 red balls, 3 green balls, and 5 yellow balls. One ball is chosen at random from…

A: Given: A jar contains 4 red balls, 3 green balls, 5 yellow balls. One ball is chosen random, To…

Q: Let A={mez: m = 2a for some aeZ}, B= {mez: m = 2a for some aeZ}. Show that A=B. (need to show A≤B…

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Q: Two matrices A and B are given. Calculate whichever of the matrices AB and BA is defined. A=…

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Q: A Fourier transform is another integral transform often used in higher mathematics. The Fourier…

A: Given Fourier transform of the function ft with respect to t Fft=∫-∞∞ft e-iωt dt Fω=∫-∞∞ft e-iωt dt…

Q: Using Rodrigues' formula for Pn(x), (T) (i) Pn(-x) = (-1)" P₂(x) cl

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Q: Let (D30, ) denote the poset of all divisors of 30. a. Show that D30 is a lattice. Explain. b. Is…

A: Let < D30, | > denotes the poset of all divisors of 30

Q: (b)show that: 1(cosh at cos at) s++4a

A: The solution is given as

Q: Which of the following is not a proposition?   VP Leni announced the launching of the Angat Buhay…

A: Solution

Q: 1 2345 6 Let f= 1 2 3 4 5 6 256 3 and g = be permutations in S6, written in two-line notation. 1…

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Q: Let (a) Show that I is an ideal of Z × 2Z. (b) Use FIT for rings to show (Z × 2Z)/I ≈ Z₂. I= {(x, y)…

A: Given: Let us consider the given I=x,yx,y∈2ℤ a) Let us depict an ideal of ℤ×2ℤ b) Let us depict…

Q: Exercise 15.2.8 Y 1₁² Find ► Hint dA where D = {(x, y) : x ≥ 0, y ≥ 0, x² + y² ≤ 1}.

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Q: Determine inverse z-transform of the following equations: a. (z-2)²

A: We will use partial fraction method and table of z transformation to find inverse z transformation…

Q: Use at least 6 decimal places of accuracy 1. C sin (z² + 2) dx using n = 6 2. √ √² +6dz √² +6 dz…

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Q: dx x1/2 + x2/3 6 ln (x1/3) + 3(x1/3 - 2x1/6) +C 6 ln (1 + x¹/6) + 3(x1/3 - 2x1/6) + C Evaluate (A) B…

A: The given integral is                                      ∫dxx12+x23

Q: Determine J [[sin(t-k). H(t-k)]

A: The Laplace rework transforms one sign into any other the use of a fixed of predetermined policies…

Q: Consider the following optimisation problem max f(x, y) = t√x y, subject to tx2 + y ≤ 5 x ≥ 0, y ≥…

A: a) when t=1 , max f(x,y) = xy  subject to x2 + y≤5 , x≥0 , y≥0.   x2 + y≤5  ⇒y≤5-x2 ⇒ f(x,y)≤…

Q: Solve the initial value problem y" + 6y' +9y = 0, y(-1) = 2, y'(-1) = 3. y(t) =

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Q: For a certain battery company, the life span of the batteries follows a normal distribution. What…

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x) =…

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Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) (Differential Equations) dy General solution of =…

A: Solution

Q: C042Exp2 Well Given that f is continuous on [4, 6] and differentiable on the interval (4, 6), with…

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Q: Let f(x)=√3x-2 on the interval find the volume of the resulting solid. 83x A -unit 3 125 43x B 125…

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Q: The midterm grades of randomly picked eight students in an MMW class are as follows: 84, 90, 74, 84,…

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Q: Expand the following functions in terms of Legendre 0 if (1) f(x)= x³+r+1 (T)(ii) f(x) =

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Q: -1 . Compare the number of multiplications and additions/subtractions needed by the "long division”…

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Q: The general solution of (D³-4D²)y=0 is A y=C₁ + C₂x + c3e-4x B y=C₁ + C₂x + c3e4x C D y=c₁+ c₂e²x +…

A: To find the general solution of  D3-4D2y=0

Q: Let f(x)=√3x-2 on the interval volume of the resulting solid. 43x 135 83m 125 83x 135 43x -unit3…

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Q: Find the volume of the region under the surface z = corners (0, 0, 0), (6, 0, 0) and (0, 3, 0). 824…

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Q: Find the roots of the equation using Bisection Method and False position Method. f(x) = e-2x -4 if…

A: We can solve this using Bisection Method and False position Method.

Q: B/Find the oblique asymptote of the function f(x) = -3x²+2 x-1

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Q: The orthogonal trajectories of the family of curves y = cx² is (A) 2x +y2=k (B) x²+2y² = k © x=ky² D…

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Q: Solve the following. C

A: 1. Given,           limx→0xlnx3=

Q: A box with a square base and open top must have a volume of 62500 cm³. We wish to find the…

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Q: Reduce the linear DE (2xy + x²+x¹) dx − (1+x²)dy=0 to standard form (A) +y−2x)=x?(1+x2 dx dy B…

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Q: L(sin 2t cos 2t) Your answer Find 2s+3 L-1 (₁² (5² +45+13)

A: We have , Fs = 2s + 3s2 + 4s + 13  We need to find Inverse Laplace Transform of  Fs. That is , L-1Fs…

Q: A Fourier transform is another integral transform often used in higher mathematics. The Fourier…

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Q: Consider the function f(x, y) = x²(y + 1)² + k(x + 1)²y². (a) For what value(s) of k is the point…

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Q: Suppose m> n. Show that L x"

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Q: The expanded form of the differential operator D(xD - 1) is (A) XD²-1 (в XD²+1 XD² - D XD² D

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Q: Solve the quadratic equation: 2 z² − (3 + j5)z +j8-5=0 -

A: To Solve: the complex quadratic equation z2-(3+5j)z+8j-5=0.

Q: Draw a tree diagram. Find each probability. 7. A softball game has an 80% chance of being canceled…

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Q: 1. If P5,000 is invested in a time-deposit for 2 years in a bank that offers 4% annual interest…

A: Given that principle amount P= 5000 Rate of interest r = 4 Time n= 2 Compounded quarterly Amount A =…