Question 15 Points 3 The volume of a Rubik's cube is 512/216 cubic inches. Find the length of a side of the cube. 8/3 inches 3/4 inches 4/6 inches 4/3 inches Original text Reset

Q: Given the lines 1₁ and 12; ₁:x=1+3t, y = 26t, z = 7t-3, x-4 6-y -8 3 5-z 5 (a) Show that 1₁ and 1₂…

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Q: 0.5 a= 5 -0.5 xb= -1 T For the above plot of the ellipsoid ()²+(H)² + (-)². b a, b and c are…

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Q: A half range periodic function g(x) is defined by 1, 0 < x < 1, 2. 1 < x < 2. g(x) = { i. Sketch the…

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Q: (a) Use Gauss Jordan elimination method to solve the system of linear equations given by AX= B where…

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Q: Give one indicated root (2√3 - 2i)¹/2 a. 2 cis 330° b. 2 cis 67.5° c. 2 cis 165° d. 2 cis 167.5°

A: We have to solve given problems:

Q: 4. Simplify 12 cis 45° ÷ 3 cis 15° a. 2 + j b. sqrt of 3 + j2 c. 2 sqrt of 3 + j2 d. 1+j2

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Q: Use an appropriate test to determine whether the series converges. 9 3 Ink M8 Σ k=3 By the this…

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Q: Approximate the following integrals using Gaussian quadrature with n = 3 and compare your answers to…

A: As per the policy, we are allowed to solve one question at a time. So, I am answering the first…

Q: an equation that represents a function that extends from quadrant 2 or quadrant 4 is

A: We need to determine an equation that extends from quadrant 4 to quadrant 2.

Q: Use an appropriate test to determine whether the series converges. 9 3 Ink Σ k=3

A: The given series can be written as ∑k=3∞3ln k.  We know the inequality,  lnk&lt;k. ∀k&gt;1…

Q: Minimize = 4x+8y subject to: x + 1.5y245 2x +0.5y ≥ 40 x+y≤ 40 x,y ≥0

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Q: Consider the ellipsoid given by the equation: x³ y³ + = 75 - 5z². 3 3 a) [ Find the equation of the…

A: As per the question we are given the equation of an ellipsoid. And we have to find : The equation…

Q: Solve the differential equation x²(x)² + 2xy-15y² = 0. Ein th diffa atial equation

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Q: 7. Suppose that a set X is equipped with the finite closed topology. Which one of the followings is…

A: As per the policy, we are solving first question. Please repost the question and specify which…

Q: 2. Country X decides to run a simulation to determine what we to war with country Y. Both are small…

A: A differential equation is a relation between an unknown function and its derivatives. Such…

Q: The solution of the following non exact differential equation (y + y² cos x) dx + (2x + 3y sin x)dy…

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Q: 11 sec²(3t), 0 < t C₁ and C₂ as arbitrar

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Q: (b) Sketch the polar curve r = √cos 20 and r= 2 cose. Then find the area of the region that is…

A: Introduction: Each Cartesian curve has a respective polar representation. The most general…

Q: GIVEN: f(z) = 2z - 5,0 ≤ z < 10 a) Find the FOURIER SERIES of the ODD extension of the given…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Given that 2r + 1 = sin 0. (a) Test the symmetries of the above equation. (b) Construct a table for…

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Q: O Develop Fourier Cosine transformation of f(x) = e-kx, k > 0,x > 0.

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Q: The following differential equation t²()*+ x = 0 of order 4. O True O False

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Q: Let A, B be  matrices of the same order. Then det(A+B)=det(A) + det(B).  True or false

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Q: 5. (x² + y² + x) dx − (2x² + 2y² −y)dy = 0 [Answer : x - 2y + log(x² + y²) = c]

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Q: Solve the given initial value problem. 6 19] -2 64 -[*]. 46 x'(t)= x(t), x(0)=

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Q: 3. x (x^2 In y - 1) dy + 2y dx = 0; y(3) = 4. y(x)=2. Determine the particular solution.

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Q: 7. A capsule in the form of a cylinder of length t cm with hemisphere of radius r cm at two ends is…

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Q: e) Calculate Fourier series of f(x) = x²₁ -π < x < ₁ p = 2π.

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Q: 3. x (x^2 Iny-1) dy + 2y dx = 0; y(3) = 4. y(x)=2. Determine the particular solution.

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Q: (b) Use the adjoint method to obtain the inverse matrix of P and hence, solve the system of linear…

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Q: Find the direction of maximum change of f(x, y, z) = xey + z² at (1, In 2,2).

A: Introduction: A function's maximum directional derivatives at a particular point P are produced in…

Q: dy Use the method for solving equations of the form = G(ax + by) to solve the following differential…

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Q: Let A=(a) be symmetric and positive definite. Show that A is nonsingular. nxn

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Q: The following system of ODES are given. Identify all equilibrium points and analyze their stability…

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Q: Find the volume cut from the sphere radius r = 15 by the cone ki+

A: To compute the volume using spherical coordinates, use the following formula. V=∭r2sinθdrdθdϕ

Q: The quantity of the demand per month of a certain accessory is related to the price (in pesos) per…

A: Introduction: Differentiation has a wide range of applications in many fields of mathematics. One…

Q: 5. (x² + y² + 1)dx - 2xydy = 0 [Ans. x² - 1 - y² = cx]

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Q: Question 2 Given the function xye* 2x³ +50y² f(x, y) = a) Find the domain of f. b) Find exist. lim…

A: a) The function is defined where 2x3+50y2≠0x3≠-25y2 So, the domain is =x,y:x,y∈R,x3≠-25y2 b) We have…

Q: -co e-tsint (1) Evaluate f tsint dt t

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Q: a)!^ 1. Evaluate the integral 4x - 1 (x + 2)(2x − 1) dx. - la

A: As these questions are not interrelated, these are considered as different questions. As per our…

Q: Find the solution of Uy = 36 ut + 10 u if Ux U₂ (x,0) = 3e-2t using the method of separation of…

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Q: A scientist is doing an experiment on the growth of the corona virus. He started the experiment with…

A: The model is provided as: dPdt=aP1-PK. We need to use this model and the conditions provided to…

Q: (ey + 1) cosx dx + esinx dy = 0 [Answer: (e + 1) sinx = = c] X (1 + e) dx + ež (1) dy = 0 [Answer :…

A: Since you have asked multiple question , we will solve first question for you. If you want any…

Q: Find the solution of the given initial value problem y" + 12y' = 0, y(0) = −15, y'(0) = 12. NOTE:…

A: We have to solve the given problem.

Q: PROBLEM 1: Given the function f(x) = e²x+1: (1) Determine the Taylor series expansion (5th…

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y² +6, (3, 1) Vf(3, 1) =

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Q: ►Solve the following differential equations 1. (x + 2y 2)dx + (2x − y + 3)dy = 0 [Answer: x² + 4xy -…

A: We have to solve the following differential equation 1.x+2y-2dx+2x-y+3dy=0 2.2ax+byydx+ax+2byxdy=0

Q: Solve the following system using GS iteration method use x0 = (0000) 10x₁ - x₂ + 5x3 = 6 -x₁ + 11x₂…

A: The Gauss Seidel method is an iterative method to find the approximate solution of the system of…