a. Find the area of the region bounded by the curve y = x³ and the line y = 4x. ovis for

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A: Let , the wing is w inch wide.  convert the given gallon into cubic inch and equate it with volume…

Q: By using Laplace transform to solve y + y = sinht with y (0) = -1, what would the particular…

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Q: Q2/ The region bounded by the curve y = x² and the line y = 3x, in the first quadrant is revolved…

A: Let us consider the curve y=f(x) and y=g(x). The volume obtained by rotating the curve about y-axis…

Q: group. What do you mean by conjugate elements and classes? Find the classes of the (Rohilkhand 1999)…

A: In the given problem, the definition of 'conjugate' elements and classes in a group are used. Find…

Q: 5. How is can be express as rational number with numerated the number 47 04 O4/7 O-4/12 O-4/7 O 4…

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Q: 2. 2y (x²-y tx) dx-(x²-2y) dy = 0

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Q: 5 balls are to be placed in 3 boxes. Each box can hold all the 5 balls. In how many ways the balls…

A: Solution :-

Q: ide a detailed solution. Us

A: Given,       f(x)=xe-x-sin2x

Q: ܕ ܩ ܚ ܝܠ ܘܗ ܥ ܬܬ ܝܚ -3 -21x1 -7X₂ -3 1 2 -1 -7 4 3 9 [X3 -2 -[ 8

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Q: @ Fs [ f ² (x)] = √ √ √ # Pfco) - P² Fs {f(x)] proof: How.

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Q: Find the solution of the equation M a²z a²z = e cos y Əх² ду? which tends to zero as x→∞ and has the…

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Q: Use Laplace transform to solve the partial differential equation: o'y dy = ox² dt +xt where y(x,0) =…

A: Solution

Q: Let (l, m, n,), i = 1, 2, 3 be the direction cosines of 3 mutually perpendicular lines. Find the…

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Q: a non-planar graph that is not homeomorphic to K5or K3,3.

A: Solution:-

Q: Use Laplace transform to solve the partial differential equation: d'y dy +xt where y(x,0) = 0,…

A: Solution

Q: Find the maximum and minimum values of x^2 + y^2 − 2x − 2y on the disk of radius √ 8 centered at the…

A: Given function is  fx,y=x2+y2-2x-2y where bounded region is  x2+y2≤8.

Q: 1. One algorithm for polynomial evaluation is the straight term-by-term evaluation which follows the…

A: Let's assume the polynomial to be of the form  P(x)=a1x5-a2x4+a3x3-a4x2+a5x-a6 If we take into…

Q: Use Laplace transform to solve the partial differential equation: d²u d²u du(x,0) = t> 0, 0<x<1,…

A: Solution

Q: Four asymptotes of the +y+1=0 forming a square are (a) y = 0, y = 2, x=0, x=2 (b) y = 0, y = 4, x=0,…

A: In this question, the concept of asymptotes is applied. Asymptotes Asymptotes are imaginary lines…

Q: 2. If ƒ (x, y) = log (x² + y²), then ƒ +ƒ„‚ is equal to XX yy 1 (a) x² + y² (b) 0 (c) (d) 2 x² - y²…

A: We will find out partial derivatives with respect to each variables x and y.

Q: -3 5 6 1 2 12 -2 -51x11 -7 X2 x2 9 X3. 4 -8 -10] -1

A: We can solve this using given information

Q: So what's the final value of x1 x2 x3 and x4? indivually

A: Answer :  No value  the system of equations does not converge to any value. so there doesn't exist…

Q: (i) Let A be an n x n matrix over C and II be an m x m projection matrix. Let z E C. Calculate…

A:

Q: Find the Laplace transform of 1. f(t) = [1 − u₂n(t)](2 sin t - sin 2t) - 2

A: Properties of the Laplace transform Laf(t)+bg(t)=aF(s)+bG(s)Lsinat=as2+a2Luc(t)sinat=e-css2+a2

Q: Hose ²²+x+(²-¹)y=0 dy+(x²-n²) y=0 by substitution x== 1102 at *ai 21 noite may Hence show that it…

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Q: The maximal ideal of ZXZ is a) Zx 2Z b) ZxZ c) Zx3Z d) 3ZxZ

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Q: Show that the Bernoulli number B₁ satisfies B₁ = (-1)" ( 2 + 2d²+1) Σ (mod 1) for any positive…

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Q: 2. If f(x, y) = log (x² + y²), then f +f, is equal to XX 1 (a) (b) 0 + y² 2 x² - y² ²-x² (c) (d) 2…

A: The given function is: fx, y=logx2+y2 Differentiate f partially with respect to x using chain rule…

Q: Minimize ƒ = x² + x² +60x, subject to the constraints 8₁x₁-8020 8₂x₁+x₂-120≥0 using Kuhn-Tucker…

A:

Q: L (7² +9) (2²+4)² x कर

A: Follow the steps.

Q: Show that Consider the Fibonacci numbers {F} defined by F₁ = 1, F₂=1, and Fn+2= Fn+1 + Fn. Fn =…

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Q: Use the induction argument to prove that 1+2+ + n = n(n+1) 2 for all natural numbers n ≥ 1.

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Q: There exists an n² x n selection matrix J such that A ● B = JT (A & B)J, where JT is defined as the…

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Q: [(9)se x². d²+xdx + (x²-n²) y=0_ by substitution x== 1102 at 2 pt souhen Hence show that it has no…

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Q: For a data set of size 10, the highest order of a polynomial that could be fitted using Least…

A: Solution :-

Q: Evaluate the following: (Note: Final answer should be expressed as a decimal, not in terms of gamma…

A: here we will use incomplete gama function and value of

Q: U i Show that the following equation is exact and solve it: (2y sin x cos x - y + 2y² exy²) dx - (x…

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Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 12. B D B D с F E A A F E

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Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

A: A connected graph G is said to be Eulerian if the graph G has a Euler circuit. A graph has an Euler…

Q: in a graph What is upper bounds ? And give an examples

A: Solution:-

Q: ) Solve by using Laplace transform the partial differential equation 8²y dt² =9. 90²y y(0,t) = 0,…

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Q: how would you collect data with people in this time of pandemic?

A: Plan ahead for different COVID scenarios, and draft a budget that assumes the worst. Recruit an…

Q: Some values for a relation are given in the table. Is the relation a function? Domain: 29 5 7 73 45…

A: Given- Some values for a relation are given in the table. To find- Is the relation a function?…

Q: Evaluate the definite integrals using (a) integration, (b) trapezoidal rule, (c) the mid-ordinate…

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Q: HOMEWORK 15: Instructions: A. Reduce each equation to a standard form and describe the curve…

A: We can identify the curve from its general equation and then find corresponding points and lines

Q: Find the Laplace transform of - 1. _ƒ(t) = [1 − u₂m(t)](2 sin t — sin 2t) t², -8 + 3t, 2. g(t) =…

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Q: 1. Consider the curve F(x, y) = 0. Show that if F has continuous second derivatives, then a formula…

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Q: Perform BCD addition and verify using decimal integer (Base-10) addition: a) 1001 0100 + 0110 0111…

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Q: 3. dy x² + xy + y² dx x²

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Q: Use Laplace transform to solve the partial differential equation: д’у ду = dx² dt +xl where y(x,0) =…

A: Solution