= 1. Use a local linear approximation of the function f(x) = ln(x + sinh(x) + cosh(x)) at some point o to approximate ln(0.001+ sinh(0.001) + cosh(0.001)).

Q: =C2e(-2x) - 6xel-3x) - 5e (2x) + C₂e(-2x) + 6xe(-3x) + 5e (2x)

A: option A is correct answer

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A: consider a differential equation dydx=2x2+2x with initial condition y1=5 use RK4 method to determine…

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A:

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A: Let me tell you different ways of visualization of vectors followed by an example.

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A: Given, 4 peaches cost = $ 1.10 1 peache cost = $ 1.10/4                            = $ 0.275 Now, 6…

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A:

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A:

Q: 1-x² 1. The curve C has equation y = B (i) Express 1-x² 1+x² in the form A + where the values of A…

A: The given curve C is:                                      y=1-x21+x2

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A: As per our company guidelines we are supposed to answer only one question first with its three…

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A:

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A: Here f:ℚ→ℚ is an epimorphism. That is f is a surjective ring homomorphism from ℚ to  ℚ. Now we can…

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A:

Q: A. Sequences 1. Given that a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4. 2. Given…

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Q: -2 Evaluate: £²³₁²[(x²-y²)²] du dt

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Q: Solve the following differential equations, giving y in terms of x. dy (ii) (x + 1)- - (x + 1)5 =…

A:

Q: Solve the following differential equations, giving y in terms of x. dy (iii) cotx + 2y = sin 2x. dx

A: Let us consider a differential equation of the form dydx+Py=Q where P and Q are function of x  To…

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A:

Q: Find the wronskian of f1= x2-6x, f2=x2+6x, f3= x2-3

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Q: dV = r dz dr de where R: 0< Draw the solid R. z = √√3x² + 3y² and below the Duom solid

A: Using the volume of cylinder and the solid is given as,

Q: 1. Find the complex Fourier series for the function f(x) = 2x where ƒ(x+T) = f(x) with T = 1. Graph…

A: We are given that f(x) = 2x, with a period 1.  The Fourier series expansion is defined as follows.

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A: Order of differential equation is the order of highest derivative in differential equation     a…

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Q: Let (an) be a numerical sequence such that lim |an|¹/n = 7-8 ∞ gence of the series 5a," is (A) 83…

A:

Q: 20x₁ + 15x₂ + 10x3 = 45 -3x₁ -2.249x₂ + 7x3 = 1.751 5x₁ + x2 3x3 = 9 -

A: Given system is 20x1+15x2+10x3=45-3x1-2.249x2+7x3=1.7515x1+x2-x3=9

Q: Q1) Which one of these augmented matrix is reduced: 4) 1 01. [23] [1] 0020 Q2) Solve the following…

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A: Here, we are given with radioactive series.

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A: Solution:-

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A: We can solve this using given information

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Q: Option 1 ……... x² + 3 x² + 1

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Q: 9. Determine y = Yc+yp using Non-homogenous equations: Method of Undetermined Coefficients Given: y"…

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Q: Which of the following statement is always false? (a) For all integer x, [x] = [−x] (b) For all odd…

A: We have to check which of the given option is always false. a Given that  for all integers x,  x=−x.…

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A: We can solve this using given information

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A: Solution :-

Q: Σ (j + 2)² = j=11 = first step 2nd step 3rd step 4th step final answer

A: The given summation is                   ∑j=11n(j+2)2 To find the given summation we shall use the…