a) Using the methods of (a) Gauss elimination and (b) Gauss-Jordan, solve the following system of equations. 2x+2y+4z=18 x+3y+2z=13 3x+y+3z=14

Q: Evaluate the function f(x)= -2x+8 at the indicated values. a) Find f(3). b) Find f(-2).

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Q: (b) Given that s² + 16 (s − 1)(s + 3) (s² + 4) (s Evaluate the values of A, B, C and D. - A B + 1)…

A: We have to do partial fraction of given algebraic expressions.

Q: Evaluate the following integral. r/4 1 (s secx- cos cos sx)²dx 0 x/4 ļ (secx- cos x)²dx= 5 3 4 8 0…

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Q: Solve the differential equation (24xy + 40y²) + (8x² + 40xy)y' = using the integrating factor µ(x,…

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Q: Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x +…

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Q: A polynomial f(x) has the given zeros of 6, -1, and -3. Part A: Using the Factor Theorem, determine…

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Q: If integration using u-substitution technique is used to solve for O u = e4x Ou=1-e¹ O U= u = €²x…

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Q: 6. For a plane with a normal of ñ = [1,2,-9] and containing a point P (3,-4, 0), write the scalar…

A: A plane with a normal of n=1,2,-9 and containing a point p3,-4,0

Q: Find all the points of g(x, y) = x³ − 3x + 3xy² where a relative extrema might occur.

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Q: 3. log (x²+x)-log.(x-1)-2 А. 2 Oi J. оо о で В. 16 C..X D. - 16 -

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The statement (A + B) - (C' n B) = (A + C) is an identity. (Hint: draw a Venn diagram of the LHS and…

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Q: The line segment x = 1 - y, 0 ≤ y ≤ 1 is revolved about the y-axis. Find the surface area of the…

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Q: et J ((et + 4)²-9)³/2 9)³3/2 dt.

A: See the details solution in below

Q: Consider the following statements: 1. 27x +3,27€ - 11, and 27x + are antiderivatives of 27. II. In…

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Q: Answer the given problems in two ways: (1) by using Chain Rule (2) by finding f(g(x)), taking the…

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Q: Q3) Find the integration by using Partial fraction method Y x² + 2x + 1 (x² + 1)² dx

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Q: Q4/ 1- Evaluate: ffy sinx dy dx

A: According to company rule we can answer only first question and rest can be reposted.

Q: (b) In an oil refinery, a storage tank as shown in Figure 1 contains 2000 gal of gasoline that…

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Q: Find the solution of the given initial value problem. y’’+y=0,     y(π/3)=2, y’(π/3)=-4 topic:…

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Q: Q4A/ If y=x sinx+√1-x², then dy/dx is: 1.√1-x² sin-¹ x 2. sin(x) O 1 O 2 x cos(x) sin(x) sin(x)2

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Q: Find the integration by using Partial fraction method x² + 2x + 1 (x² + 1)² dx

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Q: opulation P has doubled in 7 years, how long will it take to triple? (Round your answer to one…

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Q: Find the solution of the given initial value problem. y’’+4y’+5y=0,     y(0)=1, y’(0)=0

A: Initial value problem.

Q: Find f'(x) if f(x) = f'(x) = 8- cos x 8 + sin x

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Q: Find the inverse of the following matrix by using Gauss-Jordan eliminations 1 21 -1 2 3 122₂ +1 0 41

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Q: 5. The points A(1, 0, 2), B(2, 0, 1) and C(1, 2, k) form a triangle of area √6. Determine the…

A: Follow the procedure given below.

Q: Which of the following gives the area of the region enclosed by the line y = -x − 1 and the parabola…

A: The simple diagram then horizontal strip...

Q: The cost, in dollars, to produce xx vats of ice cream is C(x)=6x+12C(x)=6x+12. When selling them to…

A: This question is related to price and cost functions, we will solve it using given information.

Q: 1 1- x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find g(0), g(-4), g(6), and g 19 (27) √16-x² 2 Find g(0). Select the correct choice below and, if…

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Q: Identify the open interval on which the function is increasing or decreasing. h(x) cos(쯤), 0 < x <…

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Q: Use sigma notation to write the Maclaurin's series for the function f(x): = x cosx. Show complete…

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Q: e. Angle between a and c

A: Here we have to find the angle between two vectors.

Q: Determine whether the series converges, and if so find its sum. Enter the exact`answer as an…

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Q: Given the graph of a radical function, which statement is correct? 4 3 2 1 4 -3 -2 -10 6 7 -2 -4 OR:…

A: Use graph

Q: 2x²+x 2. lim x-0 5x

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Q: Evaluate the integral of the following tabular data as shown in Table with i. the trapezoidal rule…

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Q: Evaluate the definite integral 2 L² ( 1² + 7) dt ? O 28 3 O 70 3 O 10 O 24 O All of the above 20…

A: * We have to evaluate the definite integral ∫-12t2+7dt . * We have to identify the equation of the…

Q: 2. The value of O True O False ¹/² is = √13 13

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Q: Find an equation for the graph shown to the right. Type the equation in the form y = A sin (@x) or…

A: Given

Q: Find the area enclosed by the curves y= ex = and y = x2 -1, between x = 1 and x = - 1

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Q: *************** ********* Identify the open intervals on which the function is increasing or…

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Q: If A=(4,3,0), B=(2,3,4) and C= (5,6,2) find the dot product and find the angle between the vectors.

A: Dot product defined as  AB =|A| |B| cos x x is angle between A and B

Q: b) Give the augmented matrix associated to the system of linear equations above. Answer: ab sin (a)…

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Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx = 5x + 9y +…

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Q: 21. Find the solution of the given initial value problem. y’’+y’+1.25y=0,     y(0)=3, y’(0)=1…

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is given by

Q: ind the angle between the vectors. (Round your answer to the nearest degree.) a = j + k, b = i +4j -…

A: Given query is to find the angle between the vectors

Q: 2-x x+²√√x+2-√√3x-2 c) lim-

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Q: what should I write as the final answer

A: Let's solve given diffrential equation.

Q: Which of the following gives the volume of the solid obtained by rotating the region bounded by y =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…