Are written for u Texas Instruments TI-83 or TI-83 Plus Graphing Calculator. Sam

Question

Are written for u Texas Instruments TI-83 or TI-83 Plus Graphing Calculator. Sample output is shown in Figs. 7.11a and 7.11b. Exercises 7.11 Use the trapezoidal rule to approximate the value of each integral. dx/x,n=4 dx/x,n=10 dx/1+x2,n=4 dx/4+x,n=6 dx,n=10 dx,n=4 dx,n=6 dx/ ,n=4 cosx2dx,n=8 tanx2dx,n=4 Use the trapezoidal rule to find the work done in moving an object along a straight line for 14 ft if the following measurements were made. Distance moved Z = ; Z/ R Z = ; Z/ XL e = E sin 2 pi ft; e/ t E = I2R2 + I3R3; E/ I2 E = I2R2 + I2R3; E/ I2 I = E2R1 + E2R3 - E1R3/R1R2 + R1R3 + R2R3; I/ R1 I = E/Re-t/(RC); I/ t I = E/Re-t/(RC); I/ C q = CEe-t/(RC); q/ C q = CE(1 - e-t/(RC)); q/ C tan phi = XL/R; phi/ R tan phi = XL - XC/R; phi/ XL For each surface, find the slop of the tangent lines parallel to (a) the xz-plane and (b) the yz-plane and through the given point. z = 9x2 + 4y2;(1, -2, 25) z = 8y2 - x2; (-2, 1, 4) z = ;(1, -1, 15) z = 6x2 + 2xy + 4y2 - 6x + 8y - 2; (1, -2, -6) The ideal gas law is PV = nRT, where P is the pressure, V is the volume, T is the absolute temperature, n is the number of moles of gas, and R is a constant. Show that P/ V . V/ T . T/ P = -1 Find the only point on the surface z = x2 + 3xy + 4y2 - 10x - 8y + 4 = 0 at which its

Explanation / Answer

1.Answer: 1.1166666666667

Hand Steps to derive the Answer -
Height Value:
?x = (3 - 1)/4
?x = 2/4
?x = 0.5
Generated X values plugged into function:
(1/2) * (0.5) * ( f(1) + 2*f(1.5) + 2*f(2) + 2*f(2.5) + f(3) )
Function values:
(1/2) * (0.5) * ( 1 + 2*0.66666666666667 + 2*0.5 + 2*0.4 + 0.33333333333333 )

2.

Answer: 0.69377140317543
Hand Steps to derive the Answer -
Height Value:
?x = (2 - 1)/10
?x = 1/10
?x = 0.1
Generated X values plugged into function:
(1/2) * (0.1) * ( f(1) + 2*f(1.1) + 2*f(1.2) + 2*f(1.3) + 2*f(1.4) + 2*f(1.5) + 2*f(1.6) + 2*f(1.7) + 2*f(1.8) + 2*f(1.9) + f(2) )
Function values:
(1/2) * (0.1) * ( 1 + 2*0.90909090909091 + 2*0.83333333333333 + 2*0.76923076923077 + 2*0.71428571428571 + 2*0.66666666666667 + 2*0.625 + 2*0.58823529411765 + 2*0.55555555555556 + 2*0.52631578947368 + 0.5 )

3.

Answer: 0.78279411764706
Hand Steps to derive the Answer -
Height Value:
?x = (1 - 0)/4
?x = 1/4
?x = 0.25
Generated X values plugged into function:
(1/2) * (0.25) * ( f(0) + 2*f(0.25) + 2*f(0.5) + 2*f(0.75) + f(1) )
Function values:
(1/2) * (0.25) * ( 1 + 2*0.94117647058824 + 2*0.8 + 2*0.64 + 0.5 )

5.

Answer: 1.9127419364485
Hand Steps to derive the Answer -
Height Value:
?x = (1 - 0)/10
?x = 1/10
?x = 0.1
Generated X values plugged into function:
(1/2) * (0.1) * ( f(0) + 2*f(0.1) + 2*f(0.2) + 2*f(0.3) + 2*f(0.4) + 2*f(0.5) + 2*f(0.6) + 2*f(0.7) + 2*f(0.8) + 2*f(0.9) + f(1) )
Function values:
(1/2) * (0.1) * ( 2 + 2*1.9974984355438 + 2*1.9899748742132 + 2*1.9773719933285 + 2*1.9595917942265 + 2*1.9364916731037 + 2*1.9078784028339 + 2*1.8734993995195 + 2*1.8330302779823 + 2*1.7860571099492 + 1.7320508075689 )

41.

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