Given the following function: f(x) = x+ sin(x) at TU Xo = using h = 0.1. 4 A. Use the Forward-Difference Formula to find the approximation for f'(xo)? B. Using the Three-Point Formula find the approximation of the first derivative f'(xo)? C. Use the Five-Point Formula to find the approximation for f'(xo)?

Q: Q5: Consider the following subsets of real plane R²¹ Determine with graph: 1-Arewise connected A=…

A: Here we have a common point in both of the sets. Also thos two sets are individually connected.

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A: Composite rule is used

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A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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A: As per the question we are given a solid of revolution obtained by rotating the area between y3 = x2…

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A: We find population in year 2000.

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

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Q: +siny+x

A: Side View

Q: dy Find the complete solution of 2e2¹ cosx- dx Note: fe"du=e" + c sin²x = 0.

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A: Given differential equation is  dy/dx =  (x-1)2   dy/dx = x2 + 1 - 2x

Q: ) Using each graph of y = f(x), sketch th [(x) and g(x).

A: (a) Given,

Q: 7). Construct a formal proof of validity of the argument. a). p^q P→ ~(q^r) s➜r i. S

A: We prove the given argument by using rules of inference.

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A: When a function fx,y can be expressed in the form of ϕyx or ϕxy, the function is referred to as…

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A: Important guideline: According to Bartleby's guideline, I can give solutions to at most the first…

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Q: Find the area bounded by the curves x² + y = 6, y = x, y = -2 and x = -2.

A: We can solve this using given information

Q: EXAMPLE 2: Find the lower and upper triangular matrix of 9 -3 31 B -3 4 1 1 61 3 using Cholesky…

A: We have B=[9-33-341316] which is real symmetric matrix now checkering if it is positive definite…

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A: We have to solve given problems:

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A: Note that : x2a2+y2b2-z2c2=1 represents a hyperboloid of one sheet.

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Q: 3 ve the nonhomogeneous system tY' = (²2 =²) x + (-²₁) -21). Y (2-2)

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A: We can solve using given information

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A: We will find traces on co ordinate planes and also at given plane . From traces we can get idea of…

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

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Q: 5. The von Bertalanffy equation is defined by the ODE W'(t) = aw (t)-BW (t) where is a constant…

A: The von Bertalanffy equation is defined by ODE as follows W'(T) = αW(t)2-βW(t)Let  y(t) = W1-λdWdt =…

Q: Find the volume of the solid generated by the region bounded by y - x² = -3, x+y = 3 about y = -5.

A: To find the volume of the solid generated by revolving the region: y-x2=3, x+y=3 about y=-5

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Q: (a) Solve the first order linear ordinary differential equation dy x sin x- + (sin x + x cos x) y =…

A: We have given a first order linear differential equation ,  x sin(x) dydx + sin(x) + x cos(x)y = xex…

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A: Solution

Q: Determine the order of the zero at the origin of f(x) = ² (cos(z) - 1 + sin² (2))

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