Use linear approximation to estimate the following quantity. Choose a value of a to produce a small error. 68 ..... V68 2 (Round to three decimal places as needed.)

Q: The velocity of a car is recorded at half-second intervals (in feet per second). Use the average of…

A: Given Data: The travelled duration is: Δt=4 s The table is given the figure represent the velocity…

Q: Find the number(s) b such that the average value of f(x) = 6x? 42x +70 on the interval 0, b is equal…

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Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small…

A: The linear approximation of y = f(x) at x = a is given by the formula f(x) ≈ L(x) = f(a) + f’(a)(x –…

Q: The velocity of a car was read from its speedometer at 10-second intervals and recorded in the…

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Q: The following data are recorded for the velocity of an object as a function of time (Table 2). t, s…

A: Given data t,s 0 4 8 12 16 20 24 28 32 36 v,m/s 0 34.7 61.8 82.8 99.2 112.0 121.9 129.7 135.7…

Q: Find the average velocity of the function over the given interval. g(t) = 3+ tan t, |-14 %3D

A: Average value of any function is ratio of  difference in outputs and the difference between inputs.

Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small…

A: Given: 1107 Consider, f(x)=1x i.e , f(107)=1107,

Q: Find the displacement of an object on the interval 1 ≤ t ≤ 6 if its velocity is shown. 8.5 O 10.5…

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Q: Use linear approximation to estimate the following quantities. Choose a value of a to produce a…

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Q: The following data is provided for the velocity of an object as a function of time: 5 10 19 32 15 46…

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Q: nd the value of e' dx, taking 6 subintervals by Simpson's rule. Also find the absolute error by…

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

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Q: Compute the average rate of change of f (t) = 40t – 16t over the indicated intervals. %3D -

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Q: Let Rx) = o, Suppose that fy) is 7 times as large as R2). How do y and z compare? (Round your answer…

A: Given : fx=cx3.29  fy=7fz→1 Then  fy=cy3.29fz=cz3.29 So from (1) we have…

Q: Use a linear approximation to estimate the following quantity. Choose a value of a to produce a…

A: The linear approximation formula about x=a is given as,   Here we have,

Q: The specific gravity of a substance is given by G = DS/DW, where DS is the density of thesubstance…

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Q: Find the averags vaha of change ef -+2over achof mal ta) From 2 to D) From to 2 {e) Fiem 0 ta 3 ta)…

A: Given function is fx=-2x2+2. To find: The average rate of change of function over the given…

Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small…

A: Proceed as shown below

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 a linear approximation to estimate the following quantity. Choose a value of a to produce a…

A: The value is:-

Q: The velocity of a car was read from its speedometer at 10-second intervals and recorded in the table…

A: Consider the given table for the velocity of a car read from its speedometer at 10 second intervals.…

Q: The radius and height of a right cylinder are measured at 2.4m and 1.5m respectively with a maximum…

A: I am attaching image so that you understand each and every step.

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: Find the slope of the tangent line of the function y = In (x) at x = e2 O1/e? 4/et O 1/e* O 2le2

A: Topic = Derivative As per guidelines, At a time only one question can be answered out of different…

Q: Use linear approximation to estimate the following quantities. Choose a value of a to produce a…

A: To evaluate:       146

Q: Use the linear approximation of the following. (Answers are to be expressed in 4 decimal places, no…

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

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Q: The velocity of a car was read from its speedometer at 10-second intervals and recorded in the…

A:

Q: Use a linear approximation to estimate the following quantity. Choose a value of a to produce a…

A:

Q: 6. Determine, to two significant digits, the velocity of escape for each of the celestial bodies…

A: The data are rough and g may be taken to be 6.1×10-3 miles per sec2.

Q: The velocity of a car was read from its speedometer at 10-second intervals and recorded in the…

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Q: he radios of a circle is increasing uniformly at the rate of 3 cm/s.Find the rate vhich the area of…

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Q: 3. Use the first derivative to find the location of all local extre ma for the following functions.…

A: Explanation of the answer is as follows

Q: Table Q3 shows the data from astronomical observations of a type of variable star called a Cepheid…

A: Make Newton's divided interpolation table and then use the divided difference formula:…

Q: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table. t…

A: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table t…

Q: a) Using Linear Approximation, estimate Δ? for a change in ? from ?=? to ?=?. Use the estimate to…

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. 35.89 2

A: find the value of 35.89 using linear approximation Linear approximation of f at a is  Lx=fa+f'ax-a

Q: Use the linear approximation of the following. (Answers are to be expressed in 4 decimal places, no…

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Q: Let f(x)= sec(x), find the linear approximation at x= pi/4 and use it to estimate sec(pi/5)

A: Given function: fx=secx At x=π4 fπ4=secπ4=2

Q: Use a linear approximation to estimate the following quantity. Choose a value of a to produce a…

A: use linear approximation formula  L(x)=f(a)+f'(a)(x-a)

Q: Speedometer readings for a vehicle (in motion) at 4-second intervals are given in the table. t (sec)…

A:

Q: Use a linear approximation to estimate the following quantity. Choose a value of a to produce a…

A: We have to estimate the e0.02 Use equation of tangent line to the curve y=ex at x=0 Substitute x=0…

Q: A ball 6 inches in diameter is to be covered by a rubber material which is in-thick. Using…

A: Consider the shape of ball is spherical without any distortion. Then volume of ball V=43πr3…

Q: Suppose the depth of water in the lake at time t (where t is measured in months) is given by h(t) =…

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

A: cos32° It can be written as, cos32°=cos30°+2° Now, fx=cosx, x=30° & ∆x=2°=2π180 radians Now…

Q: Use linear approximation to estimate the following quantities. Choose a value of a to produce a…

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

A:

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

A: Definition used -      Linear approximation of function -       Linear approximation of a function…

Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small…

A: The objective of the question is evaluate the value.