Exercise 3.6 In the table below we report the values of the sea water densityp (in Kg/m³) corresponding to different values of the temperature T (in degreesCelsius):4º12⁰1000.77941000.64271000.2805Compute the cubic spline s3 on the interval 4 ≤ T ≤ 20, divided into 4 equalsubintervals. Then compare the results provided by the spline interpolant withthe following ones (which correspond to further values of T):TPTР6°1000.740888°10⁰1000.488216°999.716514⁰1000.022420⁰998.970018⁰999.3650

The data given is as follows: T ρ 4 1000.7794 8 1000.6427 12 1000.2805 16 999.7165 20…

Answered: Exercise 3.6 In the table below we…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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In the article “Influence of Crack Width on Shear Behaviour of SIFCON” (C. Fritz and H. Reinhardt, High Performance Fiber Reinforced Cement Composites: Proceedings of the International RILEM/ACI Workshop, 1992), the maximum shear stress τ of a cracked concrete member is given to be τ = τ0(1 − kw), where τ0 is the maximum shear stress for a crack width of zero, w is the crack width in mm, and k is a constant estimated from experimental data. Assume k = 0.29 ± 0.05 mm−1. Given that τ0 = 50 MPa and w = 1.0 mm, both with negligible uncertainty, estimate τ and find the uncertainty in the estimate.
The total resistance R of the three resistances R_1, R_2, R_3 connected in parallel is given by 1/R=1/R_1 +1/R_2 +1/R_3 . If measurements of R_1, R_2, R_3 are 100, 200 and 500 ohms respectively with a maximum error of ±0.01 ohm in each measurement. Approximate the maximum error in the calculated value of R.
The vertical displacement v of a cracked slurry infiltrated fiber concrete member at maximum shear stress is given by v = a + bw, where w is the crack width, and a and b are estimated from data to be a = 2.5 ± 0.1 mm and b = 0.05 ± 0.01. Assume that w = 1.2 ± 0.1 mm.a) Estimate v, and find the uncertainty in the estimate.b) Of the uncertainties in w, a, and b, only one has a non-negligible effect on the uncertainty in v. Which one is it?
A raptured pipe in a North Sea oil rig produces a circlar oil slick that is y meters thick at a distance x meters from the rapture. Turbulance makes it difficult to directly measure the the thickness of the slick at the source (where x=0), but for x >0, it is found that y= 0.5(x2+3x)/x3+x2+4x. Assuming the oil slick is continiously distributed, how thick would you expect it to be at the source?
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The edge of a cube is measured at 3 cm, with a possible measurment error of 0.2 cm. Use differentials to estimate the maximum possible error in computing the volume of the cube. a. 0.08 cm3 b. 30.27 cm3 c. 32.768 cm3 d. 6.5536 cm3 e. 5.4 cm3
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