Q1): The concentration of salt is given as a function of time by: dx = 37.5-3.5x di at the initial time (t=0),, the salt concentration in the tank is (50 g/L). Using Euler's method find the salt concentration for the condition : (choose only one ): a-after (3) minutes and step size( h=1) minutes. b- after (4.5) minutes and step size (h=1.5) minutes.

Q: II. Find Do not simplify your answers. dy dx tan-¹(cosh.r) 2. y= (sin²x) (sech x)sec z [use…

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A: Given:3y = (9-(x-1)2)

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A: Write the following English sentences in symbolic form-

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Q: Write [0, 5, 1, -7, 0] as a linear combination of [0, 1, 2, 0, 0]; [0, 1, 0, 0, 0]; [0, 1, 0, 0, 1];…

A: We want to write [0, 5, 1, -7, 0] as a linear combination of given vectors.

Q: prove that 01a| = 0 => a=o @ 1-al-lal @lak b ⇒-b<a<b @la-bla lal-lb/

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Q: Let f(2)= iz³ + cos(z²) z² +1 i. Find f'(z). ii. Evaluate ƒ'(–2i) and simplify. iii. State the…

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Q: | Example 10.1. Using Picard's process of successive approximations, obtain a solution upto the…

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Q: 15x²x³43x - 19 The integral f S can be rewritten as (x + 1)²(x² - 6x + 13) Ax + B C D Slax + + ax² +…

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Q: Homework of differential equation Q₁: Solve the following differential equations a) xy' y'= x² + 2y…

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Q: A = 2 3 2 3 -2 -2 -2 -2 11 7|2 7|27|2 -IN 1 1 22 1 1 1 2 1 -IN 2 1 1 45 01

A: Follow the python script.

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Q: 21) which of the following sequences is converge or diverge: {²√n} 8.6 } "

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Q: Q2) Which of the following series is converge or diverge 00 Σ{1} ,0.7777777777777 n=1 . Σ n=1 ΕΙΝ 27

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Q: Find ther critical point x* of 2 f(x)=312921 22 −5+1 73 +7x₂² +372 73 +6x3² − 3x₁ +3x₂ + 3xg +8…

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Q: Find sec42x -dx tan 2x A --—-—-cot²2x-—-—-cot³21+ C 16 cot82x) (4sec22x-1) B -(cort2x) 4 12 11 1 C)…

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Q: sốn ² sin () cos() sin() dx (Consider initially the first 2 terms)

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