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Q: Solve the following linear programming problem using the simplex method. Maximize P=x₁-x2 subject to…

A: Here we use simplex method to solve this question we can also use graphical method .

Q: The system cannot be solved by matrix inverse methods. Find a method that could be used and then…

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Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of : 2 (1) lim,-ol; (2) lim 0 x ³ (tan-¹x-x)…

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Q: 4. What is the length of the latus rectum of the ellipse whose equation is ²+ <= 1. 25 16

A: 4. Given equation is (x-3)225+y216=1   To Find: The length of the latus rectum of the ellipse whose…

Q: The region bounded by y = 2x - x², and 1- The line x = 1 2- The y-axis y = 1 is revolved about:

A: Introduction: With this technique, the revolution region is divided perpendicular to the revolution…

Q: The curve Chas polar equation r= 2 cos(1+sine), for 0 << . (a) Find the polar coordinates of the…

A: This is the problem of polar coordinates.

Q: 2. What is the radius of the circle defined by x + y 6x + 4y - 10

A: We will do this question by first, by completing the square of the equation, find the radius of the…

Q: An anthropologist can use linear functions to estimate the height of a male or female, given the…

A: The length of the humerus x is in centimeters. We have to find the height of a male and a female if…

Q: Evaluate F dV where F = 3i+z j+2yk and V V is region bounded by planes z = 0, z = 3 = 4. and surface…

A: here I am simply using the property that triple integral gives volume and double integration area of…

Q: The sum of the measures of the angles of n-sided polygon can be solved using the formula S = (n −…

A: We have S=n-2180

Q: Find AB and AC. (B): Find the unit vector perpendicular to the vectors: 3i - 4j+ 5k 4i + 5j-6k ; dw…

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Q: With the method of RK of order FOUR determine the approximate solution of the ODE: dy dt 4e0.8t -…

A: Given differential equation is dydt=4e0.8t-0.5y Let f(t,y)=4e0.8t-0.5y Given initial condition is…

Q: Express the arithmetic sequence as an explicit formula. Then find the 50th term. Sequence: 5, 12,…

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

Q: Find the volume of the solid formed by y = 4 sin(x) bounded by x = 0 revolved about the x axis on…

A: We have to find the volume of the solid formed by y=4sinx bounded by x=0 revolved about the x axis…

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

A: Part (1) The set of all sets is not possible to be a set. Let us say that S is a set of all sets.…

Q: 3x³ +6x² +17x-5 x²+2x+5 3.). type of factor. dx; Solve by using partial fraction. Indicate the…

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Q: Using laplace transform, solve the following differential equation. ( u is the unit step function)

A: Introduction: Laplace transformation is a very efficient tool to solve an initial value problem.…

Q: A. Find the shortest distance between the point A (3, 10) and the line y = x +1.

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Q: - State and prove the convergence order of Newton's approach:

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Q: The multiplicative inverse of x² + x in Z₂ [x]/ is: Ο Ο Ο Ο O x+1 None X^4 X^3

A: We know that ,  ℤ2x/x3 + x + 1 = fx +x3 + x + 1 / fx∈ ℤ2x We need to find multiplicative Inverse of…

Q: Question 5 1 Q.5.1 Determine whether (-pVq) A (q→ -r-p) A(pVr) (denoted with p) is satisfiable.

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Q: Find the general solution of the differential equation dy 2x² (y > 0). dx y+1 Leave your answer in…

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Q: Solve the following initial value problems by Laplace transform technique

A: We have given a differential equation ,  y'' + 2y' + 5y = 50t - 100   ,  y2 = -4  , y'2 = 14 This is…

Q: f f is a differentiable function with derivaitve f' x^2+2x-3, then f has a realtive minimum

A: We are given the derivative of the function f which is f'(x)=x2+2x-3, and we need to find relative…

Q: The following table gives the number I = I(t), in millions, of adult Americans with Internet access…

A: here we can use table to solve this question.

Q: Q3 (A): By using "L' Hopital rules"; Find the limits of: (1) lim, al 1-00 *24² (2) Lim, x³(tan¹x-x)

A: L'Hospital Rule : According to L'Hospital Rule,if we have an undetermined form of 00 or ∞∞, then we…

Q: Complete the following steps for the given function, interval, and value of n.. a. Sketch the graph…

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Q: A population grows according to the logistic model 35 N = 1 +0.2e-1.3t where t is measured in years…

A: Given that a population grows according to the logistic model                        N=351+0.2e-1.3t…

Q: 6. A golf ball is hit from the top of a cliff and lands on the green located the bottom of the…

A: Given: A Golf ball is hit from the top of a cliff, The path of the height of the ball is modeled by…

Q: 5xy sin ³²x + 3y² 0, f(x, y) (a) Prove that lim T if (x,y) + (0,0) if (x,y) = (0,0) f(x,y) does not…

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Q: Calculate the distance between the two variables given below using the most common method of…

A: Given that: S.No. Variable-1 Variable-2 1 21 82 2 31 46 3 91 42 4 80 53 5 30 15 6 80…

Q: Question 20 Given the equation -4x² + 8x - 4y² - 56y - 4z² + 32z = -312 a) Show that the given…

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Q: G= G(2:3,:) G= ? 1 4 7 2580 2 399 6 8 9

A: It is provided that: G=123456789. We need to evaluate the command: G2:3,: using a Computer Algebra…

Q: Let Z = In X - y dz Find and dx dz dy

A: I have given the answer in the next step. Hope you understand that

Q: Volume of the function g(x, y)=√64-x²-y² over the semicircle bounded by x² + y² ≤ 64, x≥0. 2-

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Q: 5.0⁰0 x² - 2x+6 (x²+2)(x-2) -dx

A: We have given a Improper integral ,  I = ∫3∞ x2 - 2x + 6x2 + 2x -  2dx We know that , Improper…

Q: Find the Wronskian of two solutions of the differential equation t²y" — t(t − 2)y' + (t − 5)y = 0…

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Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

A: 5. False  Because given that a cat is a fish  Then the condition is if a cat is a fish then the…

Q: Let y = n=0 y' - 7y +11 x³ = 0, y(1)=4. Find 03. a3 03 = a3 None 269 3 268 3 271 3 a (x-1)" be the…

A: We have given a differential equation ,  y' - 7y + 11x3 = 0   with  y1 = 4 Let y = ∑n=0∞ anx-1n  be…

Q: Romberg integration for approximating f f(x) dx gives R₂1 = 2 and R22 = 12 then f(0) = O 14 O 4 O…

A: Here given integration as ∫-11fxdx and given R21=2, R22=12 Now, According to Romberg integration for…

Q: State and prove the convergence order of Newton's approach:

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Q: Discussion 7 Math 105 Topics of mathematical One important area is inductive and deductive…

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Q: An insurance policy sells for $1200. Based on past data, an average of 1 in 100 policyholders will…

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Q: prove that u=y3-3x²y is a harmonic function determine its harmonic conjugate and find the…

A: consider u(x,y)=y3-3x2y

Q: If X is the subspace of `∞ consisting of all sequences of zeros and ones, what is the induced metric…

A: We have given that ,  X is the subspace of l∞ consisting of all sequences of zeros and ones. We need…

Q: Match the graph of the surface with one of the contour maps. f(x, y) = e¹ x² + y² O 3 4 y x

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Q: Let f(x,y,z) = x2yz4 + 4xy²z+y²z - 3y³z Find fxyz

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Q: Find the solution of the initial value problem y" + 4y' + 5y = 0, Y (²) = 0, y' (²) 7. y(t) = How…

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Q: A swimming pool is 8 meters long, 6 meters wide, and 2 meters deep. The water- resistant paint…

A: Introduction: When a rectangle has a height along with its length and breadth, it becomes a…

Q: Q5: Find for the following functions: dx (1) In (x - y) = xy + y²; (4) y = x sinh 2x-cosh 2x (2) y =…

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