2. By taking x = 2 as the first approximation, calculate using the Newton-Raphson method for 73 correct to three significant figures. Answer: 1.91

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Q: Exercise 1: Estimate 2 to four decimal places, using the Newton-Rhapson method.

A: Construct a polynomial which has root as square root of 2 as follows.

Q: Compute √√7, using Newton-Raphson method, Starting from (Xo = 1.5) (take an accuracy 5D places)

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Q: 5. 19

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Q: Find an approximation to the solution rounded to four decimal places. 2 = 3

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Q: Suppose that 3 J of work is needed to stretch a spring from its natural length of 24 cm to a length…

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Q: Use Newton's method to get the third approximation x, to the equation eš = x+3, starting with x,=2.…

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Q: Use Newton's method to approximate the given number correct to eight decimal places. V78

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Q: 23.) Use Newton's Method to approximate V7 correct to six decimal places.

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Q: Evaluate v12 to four decimal places by Newton's iterative m

A: let x=12 x2=12 therefore f(x)=x2-12 differentiating f'(x)=2x f(3)=9-12=-3 also  f(4)=16-12=4 since…

Q: Q1. What does the Newton's method produce to the actual root by repeating the approximation?

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Q: s) If the mass of an object is 2kg and its acceleration is find the variation constant, k, If the…

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Q: 1. Calculate the following unknown quantities. (a) P= (kx 1000), r= 1.2%, t= Find S.

A: As per the rules we can answer only first question and rest can be reposted.

Q: Use Newton's method to approximate the given number correct to eight decimal places. V72

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Q: Use the Newton-Raphson method to estimate 0.5 correct to four decimal places. Answer : 0.8409 3.

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Q: 2. Approximate the sol of x = sinx upto 4 decimal places by using Newtons method. Eind th ainta find

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Q: pproximately ft. ed to the nearest thousandth as need

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A: Newton's method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations.

Q: 1. Estimate 28 using Newton's method with an accuracy of ɛ < 0.001

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Q: 2. Find the root of the function/ (Take the tolerance as 0.01) 4 by using the Newton-Raphson Method.

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Q: Use Newton's method to approximate the value of 3√56 as follows: Let x1=3x1=3 be the initial…

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Q: This question is designed to be answered with a calculator. An object's velocity is given by v(t) =…

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Q: The population of two different species are given by P1 P1 = 3 ln(t) + 10 || and P2. , where t is…

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Q: 3.) Find the root of f(x) = e* -x using Newton's law of approximation.

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Q: Use differentials to approximate the quantity   √99.7

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Q: Use Newton's method to approximate the given number correct to eight decimal places. V17

A: To approximate the given number

Q: Use Newton's method to approximate the given number correct to eight decimal places. V77

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Q: Use Newton- Rophson Methad to find th Of the equalion in the range Solution ex t x- 10, ex + X -

A: If an equation is f(x)=0, then according to Newton Raphson method: Xn+1=Xn-f(Xn)f'(Xn)…

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A: we have given the equation  ex=x+3   we have to use the newton's method to get the third…

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A: If you like the solution then please give it a thumbs up...   The Answer is:      Result  ≈ 5.8496…

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Q: Estimate the value of 2 to within 0.070 of its exact value. 3 n=1 n 00 Σ n= 1 n (Round to three…

A: We will find n using integral remainder theoram then we will sum up

Q: 9. If a ball is thrown upward h(t) = 20t – 5t?, where h(t - a. After how many seconds d

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Q: a) Use Newton's Method to find an approximation of V5-1 accurate to within 10-3

A: Note "As per our company guidelines we are supposed to answer ?️only first question. Kindly repost…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.