=ystem is (..) ple, using integers or fractions.) many solutions. The solutions are x = and y=, where z is any real nu ars Ilse integers or fractions for any numbers in the expressions

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A: We have to find centre and radius of given Circle.

Q: Solve the following. ● (f+g)(x) • (gh)(x) f(x)=x-2; g(x) = x² - 1; h(x) = 2x + 3 (ش) (²)(x) (¹H) (x)

A: Here given that f(x)=x-2;  gx=x2-1;     hx=2x+3 We have to find f+gx;    ghx;    gf-hx;    fhgx .

Q: Find the derivatives using the of limits (4-step Rule). Show each step from step 1 to 4. 10. y = 2x…

A: To solve this problem we uses following definition :  f'(x) = limh→0fx+h-fxh

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Q: Using the Fixed-point iteration method, find the roots of the function: f(x) = x^4 - 20x^2 + x a).…

A: The given function is f(x)=x4-20x2+x. To Find: the root of the function using fixed point iteration…

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A:

Q: Problem 4. Let A 1 (³32) 5 and B = 1 2 3 4 (i) find a 2 x 2 matrix X such that AX = B, (ii) find a 2…

A: Given,        A=3152, and B=1234.

Q: Say that a is a vector (nonzero) in the third dimension. b and c are two other vectors. If a x b = a…

A: Given: The statement is a×b=a×c where a, b, and c are vectors. The vector a is a nonzero vector. To…

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Q: . Write the equation of a circle in general form. Determine the center & radius. Sketch the graph.…

A: A circle of the form x-h2+y-k2=r2 has center h, k and radius r general form of equation of circle is…

Q: f(n) = 40n¹.5 875n+ 35000 = 0 SHOW THE FORMULA ONLY FOR SOLVING THIS NON LINEAR EQUATION IN EXCEL…

A: Fixed Point Iteration Method: A point n is said to be a fixed point of a function fn if n=fn. A…

Q: 4.1 Further approximations (#differentiation) As you saw in Session 3.2, we can extend the notion of…

A: The given function is f(x)=ex (a) We have to Find Linear approximation, and sketch the function and…

Q: The student chapter of Philippine Society of Mechanical Engineers is planning a 6-day trip to the…

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Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

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Q: In Problems 17-22, solve the initial value problem. dy y dx X y(1) = e = 1 17. : xe,

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Q: 8. What is the necessary condition for two lines to be parallel?

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Q: A tank contains 1900 L of pure water. A solution that contains 0.01 kg of sugar per liter enters the…

A: Given that a tank contains 1900 L of pure water. A solution that contains 0.01 kg of sugar per liter…

Q: Simplify the following; your solution will be in the form a + ib. You will need to use Euler's…

A: We are given complex numbers, we have to simplify them into a+ib form.

Q: interval [0, 1], and define d(ƒ,g) Let C[0, 1] denote the collection of all continuous real-valued…

A:

Q: 4. Find the domain of the following. Write your answer in interval notation. a. f(x)=√x-3 b. g(x) =…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: (12x+2z+5y-3w=-657 |2w+3x+12y + 5z = 164 25z + 4x + 5y +14w = 77 8z+5x+10y+25w = 88

A: The given system of linear equations,…

Q: Prove that for any integer a, one of the integers a, a + 2,a + 4 is divisible by 3.

A: We have to prove that one of the integers a,a+2,a+4 is divisible by 3.

Q: (e) Determine whether the set S = {x² - 2x₁ x³ +8₁x¹-x²₁x²-4} spans P₁.

A: To find- Determine whether the set S = x2 - 2x, x3 + 8, x3 - x2, x2 - 4 spans P3.        Concept…

Q: Why do vectors perform more quickly than arrays?

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Q: Solve the differential equation x²y" - 3xy' + 4y = 0, y(1) = 15, y'(1) = 7. Then evaluate the…

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Q: 4.2 Related Rates (#differentiation) Solve the following problems using the related rates method.…

A: Given: In this problem, the given details are, a) The spherical iron ball 6cm in diameter is coated…

Q: 1-n² 2n² +3 If it converges, then prove formally (using the definition of convergence) that x, →1.…

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Q: a) A manufacturing company has three factories: A, B and C. The daily output of each is shown below.…

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Q: A = (1.2i+1.5j) B=(1.21+1.5j C = (-2k) m m + 2k) m

A: Given: The vectors are: A=1.2 i+1.5 j mB=1.2 i+1.5 j+2 k mC=-2 k m To draw: The vectors in…

Q: n 1. Use the master method to solve T(n) = 4T(n/2) + n lg 2. Use the master method to solve T(n) =…

A: Given: 1. Tn=4Tn2+nlg n 2. Tn=3Tn4+n lg n Using master method, we have to solve Tn.

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A:

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Volume is the amount of space occupied by a closed surface. In this problem, a curve y=x is revolved…

Q: 5. Consider the ambiguous sentence "x² = y² implies x=y Vx, y." (a) Make the sentence into an…

A: Given: 5. The ambiguous sentence "x2=y2 implies x=y, ∀x, y". To make: (a) The sentence into an…

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Q: Define f : R → R by ƒ(x) = x². Compute the following, or determine if they do not exist. min…

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Q: Let p, q, and r be as in Exercise 1. Translate the follow- ing into English sentences.

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Q: Solve the initial value problem. dv dx -5 √12V(1)=2 O y = -5 cos¹¹ x + 2 O y = 5 cos ¹ x Oy=5 sin ¹…

A: We have to solve the initial value problem dydx= -51-x2, y(1)=2 .

Q: Exercise 2. Show that if u(x, t) = F(x+ct) +G(x- ct) satisfies u(x,0) = f(x), u(x,0) = g(x), for all…

A:

Q: If A, B are subsets of the topological space X show that Ext(AUB) = Ext(A)n Ext(B).

A: Given: A and B are subsets of the topological space X. To Prove: ExtA∪B=ExtA∩ExtB

Q: An insect is moving on the ellipse 2x² + y² = 3 on the xy-plane in the clockwise direction at a…

A: Given An insect is moving on the ellipse 2x2+y2=3 on the xy plane in the clockwise direction at a…

Q: 4. Use the method of variation of parameters to find a particular solution of the given differential…

A: Let us consider the given differential equation ay''+by'+cy=Q(x) To find the particular solution…

Q: Set up the integral to find the volume of the solid whose base is the region bounded by x = (9 −…

A: Volume of solid whose cross section perpendicular to y axis given by A(y)  V=∫abAy dy

Q: Let U = span{u₁, U₂, U3} and V = span {V₁, V2, V3}, where 2 | U₁ , 1₂ V1 1. [1] ---D a) Find bases…

A: Let U=spanu1, u2, u3 and V=spanv1, v2, v3, where u1=120-1,   u2=02-11,   u3=341-4, v1=-2-2-13,…

Q: 4. True or false? "If A is a square matrix of order n, with n ≥ 2, and A has a zero on the main…

A: The inverse of the 2×2 matrix: a  b c  d  is calculated using the formula: a  b c  d -1=1deta  b c…

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Q: Example 12. Initial Value Problems. (a) Verify that, for any arbitrary constant C, the family of…

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Q: The graphs of y = 5, y = f(z) (solid) and y = g(z) (dashed) are shown; the graph is not drawn to…

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Q: Find the inverse, if it exists, for the given matrix. 2 2-1 -8-8 4 1 5 0 Select the correct choice…

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Q: Solve the First Order Bernoulli DE B.y + y = xy², y(0) = -

A: