28. Estimate the number of persons whose incomes are between Rs. 400 and 500 per day from the followng data. Use Newton's method : Income (Rs.) No. of persons (in 000) Below 200 200-400 120 400-600 600-B00 800-1000 250 145 200 150

Q: Exercise 4: [Hard] Use the Newton-Rhapson method to estimater to within four decimal places of…

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Q: Explain, in terms of linear approximations, why the  approximation is reasonable. ln 1.05 = 0.05…

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Q: Calculate two iterations of Newton’s Method to approximate a zero of the function using the given…

A: The function is given below fx=x2-5 and the the given initial guess x1=2

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: Q. 1 The velocity of a particle at time t from a point on its path is given by the table 0 10 47 58…

A: We have the plot of the current data as:

Q: 7)If a ball is Ehrown into Ehe air with a velociby of sIftis, it's height in feet after t seconds…

A: Please refer the attached image for complete solution.

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Q: Use linear approximation to approximate the value of In(20) without the need for a calculator. Up to…

A: Given:      Linear approximation of ln (20)

Q: Use the data below to estimate the value of f(6) to two (2) decimal digits using Backward…

A: Given the table for x and y=f(x).     x     1     3     5     7     9    11   f(x)   0.01…

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Q: Q2) The velocity of a moving body which starts from rest is given by the following table, the time…

A: Thanks for the question :) And your upvote will be really appreciable ;)

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

A: Newton Raphson method. To find the root of the teansidental equation

Q: ) Suppose that the acceleration function of a particle moving along a coordinate line is a(t) = t –…

A: a)Givena(t) = t - 3Now average acceleration is given by ∫aba(t)dtb-aHere a=0 and…

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

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Q: Apply Newton’s Method to f and initial guess x0 to calculate x1, x2, x3:                f (x) = x3 +…

A: The Newton's method is defined by the formula xn=xn-1-f(xn-1)f'(xn-1) is used to calculate the…

Q: Use a linear approximation (or differentials) to estimate the given number. (Round your answer to…

A: Given value is: (217)13 The expression for differential calculus is given by,…

Q: (c) Suppose instead that we have a rectangular tank containing the same volume of water (pictured…

A: c Volume of cube =8m×1.5m×3m=36m3 volume of water =12×3×3×8=36m3 Volume of water is equal to volume…

Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9 2…

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Q: Solve a real-life working example of Newton's forward interpolation method, take random 5 values for…

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Q: 2. Assume Barry Bonds's head is a perfect sphere. If Dr. Beeresgood measures Barry's head's radius…

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Q: Use Newton’s Method to estimate 3√25 to four decimal places.

A: We have to find: So we consider a function We know that: 27 is close to 25, so cuberoot(25) will…

Q: Use a linear approximation (or differentials) to estimate the given number. (Round your answer to…

A: Use the linear approximation solution is given below...

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Q: Use a linear approximation (or differentials) to estimate the given number. 99.8

A: To find √99.8

Q: Suppose you hang a bucket from a spring that stretches it 15 mm from its natural length. You then…

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

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Q: 1. Use linear approximation or differentials (but not both) to estimate: V7.98 Is your answer an…

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. (3.97) =

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Q: 4. The measurement of the side of a square floor tile is 10 inches, with a possible error of 1/32…

A: topic - differentials

Q: Question 5 The length of the side of a square floe area of the tile. O +1.5025 cm2

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Q: Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using…

A: Given

Q: X 1,3 2,1 3,4 f(x) 2,6 3,5 3,2

A: Newton's divided difference formula is: fx=y0+x-x0fx0,x1+x-x0x-x1fx0,x1,x2 Now, we draw the divided…

Q: Use differentials to approximate the quantity   √99.7

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Q: 3. A body moves along a horizontal line in accordance to s= t3 + 9t2 + 24t. Find the total distance…

A: Given, s=t3+9t2+24t To find: Total distance travelled in first 5 seconds of its motion.

Q: 22, DE) 7. You and a companion are driving a twisty stretch of road in a car with a speedometer but…

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Q: Use differential to approximate the value e1.01.

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Q: Suppose that an accelerating car goes from 0 mph to 58.6 mph in five seconds. Its velocity is given…

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Q: 0 1 v(t) (ft/s) 0.00 33.41 57.91 75.73 89.09 98.00 t (s) 3 4| 5 average acceleration over the first…

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Q: Find the root of x² - 1000 = 0 using Newton's law of approximation

A: We have to approximate the root of x7-1000=0 now we have f(x)=x7-1000,  f'(x)=7x6 Newton's law of…

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. (1.97) =

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Q: 13. The measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03…

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Q: 13. In North America, between 100 million and i billion birds die each year by crashing into windows…

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Q: Why does Newton’s Method fail when f′(xn) = 0? What does this mean graphically?

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Q: Find an approximate value of f'(2 31) by using Newtons Forward Difference for f(x) = x3 + 2 and x =…

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Q: Calculate two iterations of Newton’s Method to approximate a zero of the function using the given…

A: Given that,    f(x) , x2-5  , x1=2    The newton method is given by the formulah     xn+1= xn -…

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…

Q: 4. It is known that the tensile strength of a plastic increases as a function of the time it is…

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