Ex: Find the center of mass of the solid whose density &z and bounded above by the plane z=y, below by the xy-plane and laterally by the cylinder x² + y² = 4.

Q: Find by the LU factorization method solution of the following equation (2x + 3y = -1 (x=y=1

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Q: Let f:A-B and X,Y be subsets of B. Then f-¹(XnY) = f'(X) nf-¹(Y). True False

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Q: Q3.B. Find a general solution of the following differential equation using Laplace transform. y" -…

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Q: ) A car is traveling north on a highway for 4 hours. After those 4 hours, the car has traveled 200…

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Q: 4 - Investigate Interaction of Two Planes Plot the following and their normal vectors. 2x-2y + 2z =…

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Q: 7.) x = y² +₁₁ x = 0, y = -1 and y=2. The volume of the solid generated by revolving region about…

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Q: For the following initial-value problem: ý = y-t²+1, 0≤t≤ 2, y(0) = 0.5, h = 0.125,----- is the…

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Q: 4 1) L-^ { 2x-3 5²-4x+8.

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Q: js(t-1) 6 sin(t) dt

A: Solution :-

Q: Calculate the area between the curves ² = 16 sin 20 and ²: = 16 cos 20 .Show by drawing

A: To find: Area bounded by two curves  r2=16cos2θ , r2=16sin2θ.

Q: The closure of a compact subject of a regular space is compact.

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Q: 1. Compute the average height of the cone z = a> 0. r² + y² above the disk x² + y² ≤ a² for

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Q: Solve the following linear equations using Crout's LU decomposition method. 2X₁5X2 + X3 = 12 -X₁ +…

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Q: b. Let P (t) is the population of a certain animal species. Assume that P(t) satisfies the logistic…

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Q: The Brute Force Bandits is a rock band planning a five city concert tour. The cities and distances…

A: A Hamiltonian path is a path that starts at any vertex of the graph and visits every vertex of the…

Q: B: Find Laplace Transform of f(t)= cos3t By DEF.

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Q: 6. For any two nx n non-singular matrices A and B, then (a) K(A. B) ≥ K(A). K(B) (c) K(A. B) K(A).…

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Q: To approximate y(0.4) for the following initial-value problem: ý=y-t²+1, such that 'i' is equal…

A: Given initial value problem is y˙=y-t2+10≤t≤2y0=0.5h=0.2 We need to find the value of i such that wi…

Q: For each graph of f shown below, answer parts (a)-(d). -3 domain range -2 -1 y 15 10 5 1 f(x) = x¹…

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Q: 元 25+3 (5+4 }

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Q: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

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Q: Warning: You need to put together everything you have practiced and learned about Laplace…

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Q: Dustin is trying to design a weapon to fight the Demogorgon. His model has three planes, and he…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: We know that the volume of the solid generated by revolving the region between a curve y=f(x) and a…

Q: If matrix A is invertible, then A admits an LU (or LDU) factorization if and only if there are no…

A: Proposition Let be k*kmatrix. If can be reduced to row echelon form by Gaussian elimination without…

Q: Q.4. locate the critical points of the function f(x) = x²(x-1)³ and identify critical points which…

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Q: Atwood's Machine. A 15.0-kg load of bricks hangs from one end of a rope that passes over a small,…

A: Given Atwood's Machine. A 15.0-kg load of bricks hangs from one end of a rope that passes over a…

Q: Q2. A. Sketch a graph of f(x), then find the Fourier series of f(x) for three values and has a…

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Q: 62. A particle is moving on the x-axis with a velocity of v(t) = t² - 3t-18. For what values of t> 0…

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Q: Q3/ find the Fourier series for the following function. F (t) = ( 0<t<2 2<t<4

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Q: 2(a) Explain centroid of a triangle and rectangle with sketch.

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Q: Suppose the uncertainty of a balance measurement is +0.01g. Write th following data in terms of the…

A: the uncertainty of a balance measurement is ±0.01 g, i.e. each measurement have an  error of ±0.01 g…

Q: 2. 0.X₂ Use the Jacobi method and Gauss-Seidel method to solve the following system until L²-norm of…

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Q: 14- If the p. d. f of a random variable X is f(x) = 1,0 ≤ x ≤ 2, then P(X> 1.5|X > 1) is (a) 0.5833…

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Q: Solve each problem by using composite functions. Be sure to show all work.  A manufacturer sells a…

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Q: A point P(3,0,5) lies on a plane that can be defined by the scalar equation Ax+By+Cz+ D = 0. A…

A: the scalar equation of a plane with normal  vector n=(A,B,C) is  AX+BY+CZ+D=0

Q: It is given that 2+i is one of the eigenvalues of the coefficient matrix of the following system of…

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Q: Four students each made a statement about the equation of a line in R² given in vector form, 7 =…

A: The equation of a line on the Cartesian coordinate system can be represented by the linear equation:…

Q: A cheese cake taken out of the oven with an ideal internal temperature of 165 F, and is placed into…

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Q: 3/18 (a) 17/18 (b) 1 (c) 13/18 (d)

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Q: Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) 52 25 - 3 2 x' = Find…

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Q: Q2./ Slug mass equal (1/4) is hungged on to a spring, whereupon the spring is stretched 1/2 ft from…

A: From the given data, m=14 slugl=12 fty0=0 fty'0=-4 ft/sec The subsequent motion of mass is…

Q: Let x, y € R. Then x^2+y^2 = 16 defines y as a function of x. True False

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Q: A square matrix A = {a} is lower triangular matrix when a. aij 0 for all i>j b.aij = 0 for all i>j…

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Q: An electrical circuit consist of a series connected resistor (100 ohms) and a capacitor C = 0.01 µF.…

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

A: Sol:- (1) tan2xy''+x2ey=2 Order = 2 (Since equation contains y'') Nonlinear

Q: Find the available number of passwords when using a 4 letter password with possible usage of…

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Q: Use the right endpoint sum to approximate the area under the curve f (x) = x^3 from x = 1 to x = 2…

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Q: 1. (a) Sketch a curve represented by the parametric equations x = 1 - t² and y = 1+t. Then find a…

A: As per company guidelines we are allowed to solve one question at a time so i am solving first one…

Q: Question 1. Find the inverse of matrix [1

A: As per the bartleby guidelines I am solving first question. Please reupload for second part. 1. We…