Find the equation of an ellipsoid passing through the points (±4,0,0), (0, 18,0) and (0, 0, ±14). (Use symbolic notation and fractions where needed.)

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Q: Compute the volume occupied by revolving a circle of radius 3 m from the axis about 10 m radius away…

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Q: The Cauchy problem 2ux + 3uy = 5 u = 1 on the line 3x - 2y = 0) Has (a) Exactly one solution (b)…

A: The given Cauchy problem is ,               2ux+3uy = 5 u=1 on the line  3x-2y = 0 (.)  Consider the…

Q: 4. Prove each of the following statements: a). If a,b,r € R and a² + b² ≤r², b). If S={(x,y) = R²…

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Q: (a) For the following example, U = with a 0 and d‡0. Find x 0 such that a 0 0 b d 0 Ux=0 C 0 (b)…

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Q: Using all three conditions of continuity, determine if the following functions are continuous at x =…

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Q: Given two equivalence relations R and P on A. Prove that RUP is reflexive and symmetric.

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Q: D. We consider a variable y which depends on 2 variables x and p according to the formula: y = y…

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Q: || || = 1 NN N/10 1+ + x+y 11 AN

A: Here,  We have to write given linear system of equations in matrix form.

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Q: DIRECTION: Use the formula below to solve for the derivative of the following. Show the complete…

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Q: 1. If x[n] is given below, sketch the functions listed. a. x[n+4] b. x[3-n] c. x[n]u[n] d.…

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Q: Find the equation of the line passing through the point (2,2) and cutting off intercepts on the axes…

A: The equation of a line in the intercept form is xa+yb=1this line passes through…

Q: a. True or false: when you bound the error to the sum estimate you also bound the actual sum and…

A: a. We have to check whether the statement; " When you bound the error to the sum estimate you also…

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Q: Calculate Vf using suffix notation and the chain rule: ƒ(r) = 3(a ⋅r)² − a²r² (a is a vector…

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Q: What size payments should occur when $8,000 is borrowed at 8% per year compounded quarterly and the…

A: Given: The present value of the loan, PV=$ 8,000           Number of payment periods, n=8…

Q: Problem 1: Let n > 1 be an integer with the property that whenever n divides the product ab of two…

A: Given: Whenever integer n divides the product ab of two positive integers a, b then n divides a or n…

Q: Let E be the solid region that is below the XY-plane and above both paraboloids z = -x : −x² - y²…

A: As per policy we will calculate the first three subparts at a time, please repost other subparts.…

Q: Given y = x+8x³ - 30x², find all points of inflection and interval(s) of concavity. Concave up:…

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Q: 1. Given quadratic function f(x) = -3x² + 8x - 10 (a) Find extreme relative point. (b) Is the…

A: We can solve given equation.

Q: dy y²-x² dx xy -,y(1) = -√2

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Q: The graph y-f (x) is shown below. Sketch the derivative of f(in other words sketch /(x)). When…

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Q: d. Set up a definite integral whose value is the exact volume of the solid of revolution generated…

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Q: 1. Let an = Σ where n is a positive integer. 2⁰ i=1 (a) Find a₁, a2, a3 and 4. (b) Guess a simple…

A: (a)   Given that an = ∑i=1n 2 i - 12i        put   n = 1    ⇒  a1 = ∑i=11 2 i - 12i = 2-12=12…

Q: c. If a € R, the smallest ideal in R containing a is the given by {ra : r € R}. (We denote this…

A: 1.c) We see for particular r = 1 (unity) ∈ R,             1.a = a ∈ < a >.        So, a ∈ <…

Q: Given two equivalence relations R and P on A. Prove that (RUP)+ is an equivalence relation.

A: Proving that (R∪P)+ is an equivalence relation An equivalence relation on a set A is a relation…

Q: Solve the following differential equations Use variation of parameters. (D²+1) y sec ¹x

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Q: Find the value of y() if: s+5 68³ +35s2+28s Y(s) = 0 1/2 02 01

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Q: The population of a town grows at a rate proportional to the population present at time t. The…

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Q: B. Find the inverse Laplace transform using the following methods: I. Using Partial Fraction…

A: Sol:- L-16s+17s2+8s+17Expand 6s+17s2+8s+17:  6·s+4s+42+1-7·1s+42+1=L-16·s+4s+42+1-7·1s+42+1Use the…

Q: a.) 4xy" +3x³y'-7x=sin(2x)e²x b.) 5xy+3 dy dx) N = 2e+¹

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Q: Exercise 6 Find a (real) general solution. Show each step of your w y" + 3y + 2y = 12x²

A: We will find general solution.

Q: A candy company has 195 kg of chocolate-covered nuts and 105 kg of chocolate-covered raisins to be…

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Q: Drug C and Drug R are two different brands of a drug used to treat a disorder. a. Use the fact that…

A: A linear equation is the representation of the equation of the line. Linear equation in which the…

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Q: 2 proofs of binomial identities applied to Pell-Lucas numbers.

A: The Pell-Lucas numbers are a sequence of integers defined by the recurrence relation: P(n) = 2P(n-1)…

Q: Modulo Rules. Find the remainders. 15 a = 7¹5 b= 5 Answer 5 ; 3

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Q: -D- (a) For what values of h is v3 in Span {V1, V2}? Justify your answer. Problem 3. Let V₁ = 3,V₂ =…

A: We will use basic definition of linear span of two vectors. We are given here three vectors; which…

Q: 5. (a) Compute the sine series for f(x) = et on [0, 7]. You may use an integral calculator, but be…

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Q: 3) Let A CR be non-empty and bounded. Show that sup{|x − y|| x, y = A} = sup A - inf A.

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Q: Write an equation that defines the exponential functionwith base a> 0 ) What is the domain of…

A: To Write: An equation that defines the exponential function with base a> 0 To Find:  (i) Domain…

Q: for the curve defined by =(t) = (e¹, 6t, e) ind the unit tangent vector, unit normal vector, normal…

A: We know that u.v'=u'v+vu' . And if a→=<a1,a2,a3> then a→=a12+a22+a32 .

Q: Let S\index{1} be a circle passing through A(0,1) and B(-2,2) and S\index{2} be a circle of radius…

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