Example 8.27. Using trapezoidal rule, evaluate I = 1²₁² dxdy, taking four sub-intervals. r+ v

Q: Example 12.6. A company manufactures two types of cloth, using three different colours of wool. One…

A: Let type A cloth variable is x, let type B cloth variable is y, Maximize Z=5x + 3y  (profit) using…

Q: Example 10.37. The deflection of a beam is governed by the equation day +81y = o(x), where (x) is…

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Q: | Example 10.32. Applying Euler's method to the differential equation dyldx = f(x, y), y(x) = y…

A: Please find step by step answer below:

Q: A spring with a 2-kg mass and a damping constant 8 can be held stretched 1 meters beyond its natural…

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Q: c) Set up the objective function. d) Suppose that in the optimal solution for this problem, a…

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Q: Exercises To Solve [No.5] Lim 9-5 -4 S= a dx -x²-8x-15 of Los x Sinx+25inx+5 ka

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Q: Determine the value of integral of f(x) = from 1 to 7 by Simpson's X 1/3 rule. Find the relative…

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Q: c-4546-4311-8422-60296621821 ny values in the data set are between 5.5 and 7.5?

A: In given histogram Values 5.5 to 6.5 Frequency is 3 And values 6.5 to 7.5 Frequency is 3

Q: Consider the division of two polynomials: f(x)=(x-c). The result of the synthetic division process…

A: Part (a) We have the coefficients of the dividend are 1  -2   -13   -1  -48 So, the dividend is:…

Q: g(x) x-0 /(x) Evaluate lim . . . " . . .. . * . . . . . . 4 . . . * * + + * . . . . * . . . . f(x)…

A: Solution : To find, limx→0g(x)f(x) Given,  From graph , f(x) is a straight line passing through…

Q: Example 12.5. Find the maximum value of Z = 2x + 3y subject to the constraints: x + y ≤ 30, y ≥3,0 ≤…

A: The linear function that needs to be optimized(maximize or minimize) is called the objective…

Q: 1. One period of a function is shown. Draw two more periods, indicate on the graph 2p and give the…

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Q: 1. Solve by Euler's method and by classical 4th-order RK method: dy₁ = 2y₁ - 4y2, dx dy₂ = y₁ - 3y₂…

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

Q: Answer Questions 8 & 10 please and thank you

A: Note: We are entitled to solve only one question at a time. So we are doing Question 8 only. Please…

Q: 9. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters)…

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Q: Maximise 1170x1 + 1110x2 Subject to: 9x1 + 5x2 ≥ 500 7x1 + 9x2 ≥ 300 5x1 + 3x2 ≤ 1500 7x1 + 9x2 ≤…

A: Graph all the inequalities using a tool.

Q: Let (₹1, ₹2, ₹3, ₹4, 25, 26} be the standard basis in Rº. Find the length of the vector x = -22₁ +…

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Q: 26 p44 dxdy xy A

A: FIND THE integral value USING SIMPSON RULE

Q: 3. a) Compute: f (Rez-32) dz where I is a directed line segment from z=0 to z=i. b) Let C be the…

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Q: The following data set of values of a function f is given X 3 4 f(x) 27 64 a. What is the forward…

A: We will use values given in table to find all approximation

Q: Example 35. Using th d²y satisfying the differential equation v(1) = 2. + y = x, subject to the…

A: Here we need to use finite difference mthod.

Q: Tomas and Emilio have a budget of $200 to plan their party at a movie theater. The party room at the…

A: Consider the given inequality, 17f+2+45.99≤200 where f represent the number of friends. here we need…

Q: Diketahui polinominal f(x) = 2x²-5x²+2x+1 dan g(x) = x²+ax-2 jika f(x) dan g(x) bernilai sama, untuk…

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Q: p(1U1) and p((2U2) 1)). 0.11 0.05 0.07 0.08 0.09 0.10 0.20 0.12 0.15 1 0.03

A: Follow the steps.

Q: Q1) Given the equations: 10x1 +2x2x3 = 27 -3xl-5x2+2x3 =-61.5 x1 + x2 +6x3 = -21.5 (a) Solve by…

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Q: y" + y = tanx

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Q: Let B B-{B·[3]} and B-{[4]-8} B' Suppose that [32] A = 4 is the matrix representation of a linear…

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Q: 5 6. (s+3)² 7. 3 s2-32 8. L{f(t)}: 3s²-1 s²+8+1

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Q: A ball is thrown from an initial height of 5 feet with an initial upward velocity of 35 ft/s. The…

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Q: Solve the boundary value problem of y" +25y = 0 where boundary conditions y' (0) = 6, y' (n) = -9

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Q: . Use linear algebra techniques to find the center and the radius of the cle a(x² + y²) +bx+cy + d =…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: Example 10.13. Using Euler's modified method, obtain a solution of the equation dyldx = x + √√y, e…

A: Here we need to use Euler's Modified Method.

Q: d). Integrate f(x, y, z) = -√√x² + z² over the circle r(t) = (a cost)j + (asint)k, 0≤t≤2.…

A: Solution:-

Q: Se²x+lnx² sin x² dx = +fe²x co 2x cos x² dx

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Q: The graph of an exponential function is shown in the figure below. The horizontal asymptote is shown…

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Q: Q4: A- Choose the correct answer for the following: 1- A cofinite topological space (X, T) is: a-…

A: As per our guidelines we are supposed to answer only first question. Kindly repost other parts in…

Q: 3x5 Evaluate 3x4+6x³-3x2-6x O x²-4x (x-1) 1/6(x+2) 16/3 +In 2 X+1 Ox²-2r (x-1) 1/6(x+2) 16/3- +In 2…

A: This question related to integration using partial fraction.

Q: 1. Which of the following has an asymptote and which has a hole? Why? (Hint: Use desmos and look at…

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Q: Prove that the intersection line of the planes P₁: 2x -y - 2z = 0 and P₂:x-2y+z = 0 is parallel to…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: The value of cosh(3z + 1)dz, where C is the line segment from z=1 စ် C to z = 2i. O a.…

A: Hyperbolic functions are one of the important inverse trigonometric functions. The difference…

Q: ²u Example 11.7. Solve by relaxation method, the Laplace equation d²u the square bounded by the…

A: Here we need to use the relaxation method to solve the given problem. Please find step by step…

Q: A tank with square base and volume 1125 cubic unit. If colouring of base and side cost $5 and top…

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Q: find the equation of the plane through P(1, 3, 2) that is parallel to the plane 5x - 4y + 3z = 7

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Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx - B) + C? A) 1 B) 3 C) 0 D) 2

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Q: Example 10.6. Solve by Taylor series method of third order the equation dy dx y(0) = 1 for y at x =…

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Q: verse of a Matrix I. Use the determinant test for no singularity to determine hether items 1-5 of…

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Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: We will use integral to find total force on the side of trough .

Q: Example 10.26. Using Picard's method, find approximate values of y and z corre- sponding to x = 0.1,…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 0 9. f(t)=t-n 0 if t 2π

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Q: s+10 (s²-s-2) B:1: Solve 1. L{t²cosat} 2.L-¹ { {}

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