Answered: ed to obtain water flow speed u in m/s… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Please provide 3 sig. digits and DO NOT approximate numbers for intermediate steps

A test is conducted to obtain water flow speed u in m/s at different time steps t in minutes. For the four data points,
presented in the following table, obtained from the test
i
1
2
3
4
Time (t) Speed (v)
0.5
0.98
1.5
2.98
2.5
8.78
3.5
15.18
the following quadratic model (equation) is chosen to fit the experimental points y(x) = a₁x + ₂x²
(a) The following system of equations is used to calculate the regression coefficients a1 and 42:
n
Σ fi(xi)fi(xi) [f1(x;)ƒ2(x;)
i=1
n
Σ f2(xi)f1(xi)
i=1
i=1
194.25
(2)-(2)
=
247.78
a1
a2

Calculate the following values:
P
Σ f1(x;)ƒ1(x;) =
i=1
Σ ƒ1(x;)ƒ2(x;) =
Σ f2(x)f(x) =
i=1
PL
Σ yifi(x) =
i=1
(b) Solve the above system of equations to obtain the nonlinear equation coefficients a₁ and ₂:
a1 =
a2 =
(c) Find the predicted value of the speed u at t = 3 (-
v(3) =

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