31-36 Use a linear approximation (or differentials) to estimate the given number. 31. (1.999)“ 32. 1/4.002 33. 1001

Q: Discuss the Error in Differential Approximation?

A: Given: Discuss the Error in Differential Approximation?

Q: Use a linear approximation (or differentials) to estimate the given number. (Do not round your…

A: Given: 32.0445 To find: Approximate value of given expression using linear approximation.

Q: 14. Use differentials to approximate the value of V620 to five decimal places. (Note V620 = 5.)

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Q: е 0.99

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

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Q: ion of the linear differential equatio ents, variation of parameters and red

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Q: Obtain the differential equation of the plane curves described 5. Family of straight lines with…

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Q: ne following second-order differential equa

A: Introduction: A second-order differential equation has a form d2ydx2+p(x)dydx+q(x)y=r(x), where…

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A: Differential equation with given initial condition. The interval containing the point t0.

Q: 3. Use differentials to estimate the value of 10 - (0.98) correct to two decimal places.

A: Please see the below picture for detailed solution.

Q: A differential Equation is a type of function

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Q: Detemine whether the differential equation is linegror non liner and give reasons. O54y +Siny=

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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: Find the differential equation which has the given family of integral curves. The family of circles…

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

A: By using a linear approximation estimate the number  2173

Q: dr

A: Given  dydx + 13y = exy4 We have to evaluate the differential equation using Bernoulli's.

Q: Determine the differential equation that corresponds to each slope field. No explana- tions…

A: 5. a) The slope field is,dydt=f(y)

Q: Use a linear approximation (or differentials) to estimate the given number. (8.06)2/3

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Q: в) (2.001)5 (b) у9999

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

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

A: To find √99.8

Q: 7. The raidus of a circle is equal to 4m and is measured with an error of ±0.5m. Use differentials…

A: Given: The radius of the circle is 4m and with an error ±0.5m To find the relative error ∆AA≈dAA "As…

Q: Obtain differential equation of the family of curves with properties indicated

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Q: se a linear approximation (or differentials) to estimate arctan(1.001) – arctan(1).

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Q: Family of lines passing through (-2,0)

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Q: Estimate the value of 217(1/3) a. approximation b. differentials

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Q: Find the differential equation of the family of curves. 1. Family of lines where x-intercept is…

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Q: Use a linear approximation (or differentials) to estimate the given number. (Do not round your…

A: Given,

Q: 3. A window has the shape of a rectangle surmounted by a semicircle. The base of the window is…

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Q: Obtain the differential equation of the family of curves described and sketch some members of the…

A: Each part is independent of each other so according to the guideline , I am solving only first part…

Q: Use a linear approximation (or differentials) toestimate the given number. 1/4.002

A: Consider By linear approximation, we have

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: Obtain the differential equation of the family of plane curves described. 1) Straight lines with…

A: Consider the given: 1) Straight lines with slope and y-intecept equal.y-intercept =…

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

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Q: √101

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Q: Use a linear approximation (or differentials) to estimate the given number. 99.6

A: Given query is to perform linear approximation on given redical.

Q: Use a linear approximation (or differentials) toestimate the given number. 3√1001

A:

Q: Use a linear approximation (or differentials) to estimate the given number. e−0.01

A: Let f(x) = ex, where x = –0.01. Then f(0) = 1.

Q: If a current I passes through a resistor with resistance R ,Ohm’s Law states that the voltage drop…

A: Given the ohm's law relationship that is V=IR , where V is the voltage , R is the resistance and  I…

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

A: Given number is 653. We have estimate the 653 by using a linear approximation. Take fx=x13 First…

Q: Obtain the differential equation of the family of plane curves described and sketch several…

A: Please refer to the image below

Q: 3 3. √√26.91

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Q: Obtain the differential equation of the family of curves as described. Draw some representative…

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

A: Given function is: To find the linear approximation of f(999) we have to use the formula: With…

Q: (2) (a)The measurement of the side of a square floor tile is 10 inches, with a possible error of 32…

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Q: 7. Using differential, approximate (8.01 ) correct to 4 decimal places. 8. Use differential to…

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Q: 2. Using your knowledge from Differential Calculus, Integral Calculus and Separation of Variables…

A: Concepts Used:-1) If f is an even function, i.e. f(x)=f(-x), then∫-∞∞fdx=2∫0∞fdx2)Integration by…