Find the linear approximation of the tunction fox) = NT-x at a-0 %3D and use it to approximate the numbers do.g and S0.99 by gruphing Illustrate f and the tungent line.

Q: The atmospheric pressure at altitude h (kilometers) for 11 ≤ h ≤ 25 is approximately…

A: Given: P(h)=128e-0.157h

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

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Q: Use differentials to find the value of  GIve anser to two decimal places.

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Q: Use Euler’s method to find the approximate value of y correct up to 4 decimal places for x=0.4…

A: Given y'=2x+y and y0=0⇒y0=0, x0=0 and h=0.1

Q: Find the linear approximation to the equation f(x, y) = 5 ln (x* – y) at the point (1,0,0), and use…

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Q: Estimate v99 by using a linear approximation of f(x) = /x about the value c = 100. Round your answer…

A: We use the power rule. Then we find f(x) and f'(x) at x=100

Q: For the position function, s(t)=-16t2+103t​, complete the following table with the appropriate…

A: Consider the position function, s(t) = 16t2+103t.

Q: x = 2 10 0.5 38 1.0 58 1.5 70 2.0 74 2.5 70 3.0 58 3.5 38 4.0 10 -8 4

A: We have to find the instantaneous velocity of y at specified value x at x=2

Q: Use the total differential to find the slopes of the indiffa of the following utility functions: a)…

A: a) slopes of the indifference of the following utility functions  ux1,x2=x1x2 mux1=dux1,x2dx1=x2…

Q: Given: tan-1(e0.13-0.8) Get the local linear approximation to estimate the value of the given

A: According to question given that tan-1e0.13-0.8

Q: Use linear approximation to approximate v81.4 as follows. Let f(x) = Vx. The equation of the tangent…

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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: 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: Find the linear approximation to estimate V9.247. Compare this to the true value and determine if…

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Q: Find the linear approximation to the equation f(x, y) = 2 ln(x* – y) at the point (4,255,0), and use…

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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: Find the displacement and the distance traveled over the indicated time interval. r = e'i+e¯fj+…

A: Given:r=eti+e-tj+2tk          0≤t≤lnt

Q: Estimate V26 by using linear approximation of f (æ) = V¤ about the value x 27. Round your answer to…

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Q: Obtain the derivative dh when the radius is 5 m. First, substitute 5 for rin the volume of cylinder.…

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Q: For the position function s(t) -16t103t, complete the following table with the appropriate average…

A: To find the average velocities on the given time intervals for the position function

Q: Suppose a particle begins to move from the origin (t = 0) following the curve in space r(t)= (5sint,…

A:

Q: 2. The altitude of a helicopter at three different instants is listed as below: 0.3 1, sec 0.2 h, m…

A: We will solve this using 2 point forward and 2 point backward difference formula

Q: 1D: Pt)= - 3t+ 18t189 for 0s+< 10 find the point of di mimishing returms (the rate af which this…

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Q: Find A, B which make the approximation. So S(x)dæ = Ahƒ(0) + Bhf() as high order as possible. With…

A: Use the following concepts, to determine the solution. The degree of precision is the largest…

Q: obtain a slope field and add to it graphs of thesolution curves passing through the given points.28.…

A: The curve is a line of which no part is straight; there are open curves and closed curves. a line…

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

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Q: The volume V of a nght circular cylinder of radius r and height h is V= 7rh. (a) How is related to…

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Q: Use a linear approximation to estimate the following quantity. 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…

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Q: Find the difference between the upper and lower estimates of the distance traveled at velocity f(t)…

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Q: Use linear approximation to approximate v81.4 as follows. Let f(x) = Vx. The equation of the tangent…

A: Consider, fx=x Differentiating with respect to x, we get f'x=12x Now slope of the tangent line at…

Q: use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1…

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Q: Approximate y at x=2.1 and x=5.8 , using appropriate Newton interpolation formula. 4 f(x) | 1 1/3…

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Q: The accompanying graph plots the best quadratic fit, a(t) = − 0.70t^2 + 1.44t + 10.44, to the data…

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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: 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: The following table shows the rate of water flow (in L/min) through a dam. t (min) 1 5 9. 13 17 21…

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Q: Determine the rate of chenge in the ar direction of the scaler function U- sin e and calealate it at…

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Q: In r d) y = (V)" at (1, 1)

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Q: The following table shows the rate of water flow (in L/min) through a dam. t (min) 1 11 16 21 26 31…

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Q: The table below gives the result of an observation, is the observed temperature in degrees…

A: We have to solve the given problem by Newton's forward differential equation.

Q: Find the orthogonal trajectories of the given family of curves. 1. y = c (sec x + tan x )

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Q: 33. The atmospheric pressure at altitude h (kilometers) for 11 <h< 25 is approximately P(h) =…

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Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

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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: The following table shows the rate of water flow (in L/min) through a dam. t (min) V'(t) (L/min) 1 3…

A: We will use the following Simpson's rule for n=6 ∫113vdt=h3[(v0+v6)+4(v1+v3+v5)+2(v2+v4)] here…

Q: use Euler's method to obtain an approximation to four decimal places of the indicated value by first…

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Q: Approximate v10 using a linear approximation. Round to 5 decimal places. つ

A: Here is the solution

Q: For which values of a does fo00 eax dx converge?

A: Given, ∫0∞eax dx