Solve the following equations y" - 4y + 4y = 8x² + 4x y" - 2y - 3y = sin 2x

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Q: Ex. Locate the centroid X of the shaded area shown. 1m 1m X

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Q: Prove or disprove: All uncountable measurable subsets of ℝ have positive measure.

A: All uncountable measurable subsets of ℝ have positive measure.

Q: (b) Prove that 2m ≤ m! + 2 for m ¤ N. (c) For any nonzero real number x, prove ---3 i=1 = 1- x -n

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Q: 5. For which value of x do the following vectors form a linearly dependent set in ² (글 글) (글 글(글 글)

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A: Given that C1: x=4y-y2 and the surface S:=x, y, z∈ℝ3: x, y∈C1, 0≤z≤x2. Also given that C1 is a trace…

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Q: Which characteristic/s implies(y) that a set S of real numbers is closed? S has no accumulation…

A: Accumulation point

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Q: Put the equation that is in general form: y = x² + 22x + 112 into standard form: y = (x - h)² + k:…

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A: Solution :  Volume of the cylinder is π*r^2 *h  where r is the radius and h is the height

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Q: 15. To determine whether a continuous vector field is conservative or not, A. its corresponding…

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Q: Exercise 14. Let Z be the set of integers and R be the equivalence relation on Z such that [0] =…

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Q: If R is commutative ring then deg(f(x) + g(x)) = max(deg(f(x)), deg(g(x)). False O True

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Q: Consider the sequence of functions {f} defined on the interval [0, 1], where fn(x) = nx Evaluate lim…

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Q: 2. y4y² = 1; M(1,0). -

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Q: Question 3. F Prove each of the following. (a) Given a real number a > 1 with a N, show that there…

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Q: π Show x² x² + x² +1 4 √3 -∞0 4 Hint: x² + x² +1= (xª + 2x² +1) − x² = (x² +1)² −x² dx =

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Q: 3. Two fundamental differential postulates of electrostatics are given as: V•E = P a. where Р is…

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Q: Problem: The concentration of salt x in a home-made soap maker is given as a function of time by: dx…

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A: Sketch -1

Q: erential equations 1. y - xy = 0; M(1,1). 2. y4y² = 1; M(1,0). 3. y 4. yy' - ry³ = 0; M(1,1). 1=1/4

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Q: Prove that for any odd prime p different from 3, ) = 1 if and only if p = ±1 (mod 12). (hint: Use…

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Q: for a quilt using polygon EQFRGSHP shown.

A: Given as,

Q: The mean weight of five complete computer stations is 167.2 pounds. The weights of four of the…

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Q: r3 Consider the integral e dady. (i) Sketch the region of integration. (ii) Change the order of…

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Q: 2. The heights of Susa, Ada, and Rhea were 155 cm, 158 cm, and 161 cm, respectively. What is the…

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Q: Given the following matrices Find the following: 3. BA 4 D + AB A = D = 1 3 1 - 0-4 5 3 3 6 E = 7 2…

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Q: Find the minimum  of the function f(x) = 2x3 + 3x2 − 12x + 17

A: We have to find the minimum of the function f(x)=2x3+3x2-12x+17.

Q: 2) (2.2. Conver the Following differential equation into a Perfect equation and then find its…

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