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Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^2 and y = 2x…

A: The given problem is to find the volume of the solid bounded by given curves y=x2 and y=2x and…

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Q: 24. Which of the following statements is/are true? The upper triangle of an adjacency matrix of a…

A: The problem is from the graph theory.

Q: f(x,y) = (x³ − x)(x² − 1). find fxy(x, ×

A: We have given that ,  fx , y = x3 - x y2 - 1 We need to find , Partial derivative fxy . We know that…

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A: 13. Given 43×32 =1376 Which is the required answer. 14. Given 316×810 = 255960 Which is the required…

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Q: Let v1 = (1,2,1), v2 = (2,9,0), v3 = (3,3,4) . Show first that S= {v1, v2, v3} is a basis for ℝ^3.…

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Q: Consider the following IVP: y" - 3y' - 10y = 1, y(0) = -1, y'(0) = 2 (a) Find the Laplace transform…

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Q: 14.Consider the group (A, *) where * is defined by the table below * A B C D AB A D с BA B C DC D C…

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Q: Determine the constants a, p, yo and y'o so that Y(s) = Bs + C (s + D)² is the Laplace transform of…

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Q: In each of the following problems you are given a function on the interval −π<x<π. Sketch several…

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Q: Use forward, backward and central difference to estimate the first derivative of f(x) = In(x) at x =…

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Q: 24. Which of the following statements is/are true? 1. The upper triangle of an adjacency matrix of a…

A: This is a problem of Graph Theory.

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A: We will use relation between cartesian and cylindrical co ordinate system  x= rcosθ , y = r sinθ and…

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Q: The derivative of f(x, y) at Po(1,2) in the direction of i+j is 2√/2 and in the direction of -2j is…

A: Let us consider the function function f(x, y)  The directional derivative of the function at point P…

Q: 5 -2 a.) [² 1 0 1 b.) [5 2²2 31 -5 5 8 040 c.) [0 204] 4020 -2 0 -4 1 0 -4 1 11 2 20

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Q: Let Xis Hilbert Sface and T, SEBO), 2 EF then @+*|| = \|TI|

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Q: Prove that the following statements are EQUIVALENT: For any sets A and B, a. ACB b. AnB = A C. AUB=B

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Q: (b) How will an increase of $1 in the hourly labor rate affect the total cost? The total cost will…

A: The current total cost is  80+0.3*27*27 +50*2- 27*2= 344.7

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Q: 30 P= √I droppings" can be modeled by,

A: Given the demand model : p=30x The cost - model is : C=2.1x-142 where x is in tons. We need to find…

Q: Question Eight y s 7 6 5 m X The diagram shows the shaded region bounded by the curves y = x² + 2, y…

A: Solution :

Q: 3. An equiangular triangle in the hyper- bolic plane with interior angle of has 표 an area of 7. 4

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Q: A B C D 57 49 -- 54 9 5 57 16 60 40 53 49 16 20 47 35 -- D 54 60 20 33 19 -- E 9 40 47 33 -- 4 F 5…

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Q: VI. Given a region R enclosed by the curves: π.χ. y = 1 + sin y = 4- ) 4 As shown below. (x - 2)² ,…

A: This is the problem of the volume of rotation.

Q: 9)THE ELEPHANTS Recently, a study on the African and Asian elephant populations was published. The…

A: Formulate the equations for fx, g(x). Equate these equations with each other and solve for x to…

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Q: 2. Evaluate 2y"+3y'-2y=te-2t ,y(0)=0, y'(0)=-2 1 y(0) 125 A) y(1) 25 (96e2+96e-2-10te-2-2²-2) -2t…

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Q: The region in the first quadrant is bounded by the curve y = e^x and the lines x = 0 and the x = 1.…

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Q: Draw a direction field and plot (or sketch) several solutions of the differential equation y' = −y(6…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Find the Laplace transform of f(t) = -2 Bt + C 0 ≤ t < (D+1) t≥ (D+1)

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Q: 4. Find the measure of the angle between u = 6i - 3j and v = 2i + j to the nearest tenth of a…

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Q: Find the Taylor or Maclaurin series of the given function with the given point as nter and determine…

A: Taylor series expansion

Q: Find the inverse Laplace of Find the solution of the DE using Laplace Transform y" - 4y +4y=cos(t);…

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Q: .Given the following degree of the vertices of an undirected graph H = {4,1,5,3,4,3}, we can…

A: Sum of the degrees is 4+1+5+3+4+3=20, which is even. So H is a graph. Therefore, option C is not…

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Q: Question 13 (Mapped to ILO3) Determine the Fourier Series of x, 0<x<T f(x) = { π, π < x < 2π, and…

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Q: 4. A binary operation a*b = 1/(ab) defined on positive Rational Numbers (Q+) is A. just a groupoid…

A: Use the relevant definitions of group theory.

Q: 2. Find the general solution of d²y dy +5- dr.² dx 6y=0

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Q: Find the Integrating Factor (I.F) of the following linear differential equation: (1 + t²)/+ y =…

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Q: A = -2 - D = 3 0 B 2 " 2 13 3 E = SHE 5 > 4 5 -2 -4 31 -2 3 2 2 5 0 -4 -4 5 3 -4 -4 0 -3 2 3 - 7.…

A: Let us find the inverse of the matrix E and and answer the questions from 7 to 10 regarding its…

Q: lim 1418 r = ∞ zª

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Q: What is the volume in cubic units of the solid formed when the region bounded by (x-1)^2 = 20-4y, y…

A: Given curves are x-12=20-4y⇒x=±20-4y+1y=1y=3x=1

Q: - n n 20 ₹u

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Q: 1. (8 points) Let x, y ER" be given. ||||||y||= (a) If 1 and 2 y = 1, show that a = y. (b) If | ≤ 1…

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Q: 4. Let A = {1,2,3,4). Find a non-empty relation on set A such that the given MI conditions are met,…

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