Question 4(Multiple Choice Worth 3 points) What is the best method to evaluate ? A. Integration ...
Question 4(Multiple Choice Worth 3 points)
What is the best method to evaluate 
?
A. Integration by parts
B. Rewrite the integral using long division
C. Rewrite the integral using partial fractions
D. Use a substitution
Question 5(Multiple Choice Worth 3 points)
Using Euler's Method with a step size of h = 0.5, estimate the
value for y(3) for the differential equation 
, with y(2) = 5.
A. 5.352
B. 5.230
C. 5.238
D. 5.233
Homework Answers
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Question 4(Multiple Choice Worth 3 points) What is the best method to evaluate ? A. Integration ...
Which method can be used to evaluate the integral? (Remember to use absolute values where appropriate....
Which method can be used to evaluate the integral? (Remember to use absolute values where appropriate. Use for the constant of integration.) * dx integration by parts splitting the fraction trigonometric substitution long division partial fractions
(a) Use Trigonometric Substitution to evaluate the integral 22 9 dr. T (b) Use the method...
(a) Use Trigonometric Substitution to evaluate the integral 22 9 dr. T (b) Use the method of Integration by Parts to rewrite the following integral. (You do not need to fully evaluate the integral.) | «* sin(x2) dr. (c) Find the form of the partial fraction decomposition of 2.r2 - 3.c + 77 (x - 1)(x² +2) (You do not need to solve for the coefficients.)
1. Evaluate 52 dx by using composite midpoint method with n-1 to approximate the definite integra...
evalu
1. Evaluate 52 dx by using composite midpoint method with n-1 to approximate the definite integral. (25 points, credits are given based on your calculation procedure) м.cro ,,4 2 1+23 2 2. Evaluate 1 -S Se-23 dy by using Gauss quadrature with two Gauss points. (25 points, credits are given based on your calculation procedure) (hints: weight coefficient and Gauss points Coordinates are on the last page) 0.1 2. 3. Use Euler's explicit method to solve the ordinary differential...
(j) ſte tanº e de Hint: Etan2 e. Bonus Questions 1. (2 points) Evaluate the definite...
(j) ſte tanº e de Hint: Etan2 e. Bonus Questions 1. (2 points) Evaluate the definite integral 2-2 dx as a limit of Riemann sums. Hint: take the sample points x* = Xi-1Xi, i = 1, 2, ..., n. The idea behind partial fractions might also prove helpful. 2. (3 points) Develop a technique of integration using the Quotient Rule (in the same way that the Chair Rule was used to develop the Substitution Rule and the Product Rule was...
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question Evaluate...
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question Evaluate the integral. 5 In 5 1) S. ey dx dy el B) 4 A) 8 D) 9 C) 18 Integrate the function f over the given region. 2) f(x, y)- over the trapezoidal region bounded by the x-axis, y-axis, line x -5, and line 9 D) 60 A) 25 B) 40 C) 30 Write an equivalent double integral with the order of integration reversed....
Question 16(Multiple Choice Worth 1 points) In an economy with a horizontal aggregate supply curve, a...
Question 16(Multiple Choice Worth 1 points) In an economy with a horizontal aggregate supply curve, a decrease in taxes will affect price level and employment in which of the following ways? Price Level / Employment Decrease / Increase Increase / Increase Increase / Decrease Increase / No Change No Change / Decrease No Change / Increase Question 17(Multiple Choice Worth 1 points) If personal income taxes are increased, we can expect that the short-run Phillips curve will shift left. the...
MATLAB CODE: Task 2 8y dt Solve the above ordinary differential equation (ODE) using Euler's method with step sizes of: 2. h 0.75 3. h 0.5 4. h 0.001 a) For each step size, plot the results at eac...
MATLAB CODE:
Task 2 8y dt Solve the above ordinary differential equation (ODE) using Euler's method with step sizes of: 2. h 0.75 3. h 0.5 4. h 0.001 a) For each step size, plot the results at each step starting from y(0) 3 to y(3). b) Plot on the same figure as part a) the analytical solution which is given by: 9 24 -8t c) Calculate and print the percentage error between the Euler's method and the analytical result...
Using MATLAB_R2017a, solve #3 using the differential equation in question #2 using Simulink, pres...
Using MATLAB_R2017a, solve #3 using the differential equation in
question #2 using Simulink, present the model and result.
2. Differential Equation (5 points) Using (i) Euler's method and (ii) modified Euler's method, both with step size h-0.01, to construct an approximate solution from F0 to F2 for xt 2, 42 with initial condition x(0)=1. Compare both results by plotting them in the same figure. 3. Simulink (5 points) Solve the above differential equation using simplink. Present the model and result....
Question 9 Multiple Choice Worth 3 points) With the discovery of magnetic reversals, there was evidence...
Question 9 Multiple Choice Worth 3 points) With the discovery of magnetic reversals, there was evidence that the sea floor could create new continental crust. the seafloor contains alternate bands of minerals. only seafloor (oceanic) crust was capable of drifting. the sea floor was younger away from spreading centers. the seafloor contained a mechanism for plate tectonics.
Question 20(Multiple Choice Worth 1 points) If nominal interest rate equals 12 percent and inflation is...
Question 20(Multiple Choice Worth 1 points) If nominal interest rate equals 12 percent and inflation is 4 percent, then nominal and real interest rates are respectively 12 percent and 8 percent. 12 percent and 16 percent. 16 percent and 8 percent. 16 percent and 12 percent. 8 percent and 4 percent. Question 21(Multiple Choice Worth 1 points) If the workforce is paid more frequently, then real output will decrease. the money supply will increase. price level will decrease. velocity of...
Which method can be used to evaluate the integral? (Remember to use absolute values where appropriate. Use for the constant of integration.) * dx integration by parts splitting the fraction trigonometric substitution long division partial fractions
(a) Use Trigonometric Substitution to evaluate the integral 22 9 dr. T (b) Use the method of Integration by Parts to rewrite the following integral. (You do not need to fully evaluate the integral.) | «* sin(x2) dr. (c) Find the form of the partial fraction decomposition of 2.r2 - 3.c + 77 (x - 1)(x² +2) (You do not need to solve for the coefficients.)
evalu
1. Evaluate 52 dx by using composite midpoint method with n-1 to approximate the definite integral. (25 points, credits are given based on your calculation procedure) м.cro ,,4 2 1+23 2 2. Evaluate 1 -S Se-23 dy by using Gauss quadrature with two Gauss points. (25 points, credits are given based on your calculation procedure) (hints: weight coefficient and Gauss points Coordinates are on the last page) 0.1 2. 3. Use Euler's explicit method to solve the ordinary differential...
(j) ſte tanº e de Hint: Etan2 e. Bonus Questions 1. (2 points) Evaluate the definite integral 2-2 dx as a limit of Riemann sums. Hint: take the sample points x* = Xi-1Xi, i = 1, 2, ..., n. The idea behind partial fractions might also prove helpful. 2. (3 points) Develop a technique of integration using the Quotient Rule (in the same way that the Chair Rule was used to develop the Substitution Rule and the Product Rule was...
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question Evaluate the integral. 5 In 5 1) S. ey dx dy el B) 4 A) 8 D) 9 C) 18 Integrate the function f over the given region. 2) f(x, y)- over the trapezoidal region bounded by the x-axis, y-axis, line x -5, and line 9 D) 60 A) 25 B) 40 C) 30 Write an equivalent double integral with the order of integration reversed....
MATLAB CODE:
Task 2 8y dt Solve the above ordinary differential equation (ODE) using Euler's method with step sizes of: 2. h 0.75 3. h 0.5 4. h 0.001 a) For each step size, plot the results at each step starting from y(0) 3 to y(3). b) Plot on the same figure as part a) the analytical solution which is given by: 9 24 -8t c) Calculate and print the percentage error between the Euler's method and the analytical result...
Using MATLAB_R2017a, solve #3 using the differential equation in
question #2 using Simulink, present the model and result.
2. Differential Equation (5 points) Using (i) Euler's method and (ii) modified Euler's method, both with step size h-0.01, to construct an approximate solution from F0 to F2 for xt 2, 42 with initial condition x(0)=1. Compare both results by plotting them in the same figure. 3. Simulink (5 points) Solve the above differential equation using simplink. Present the model and result....
Question 9 Multiple Choice Worth 3 points) With the discovery of magnetic reversals, there was evidence that the sea floor could create new continental crust. the seafloor contains alternate bands of minerals. only seafloor (oceanic) crust was capable of drifting. the sea floor was younger away from spreading centers. the seafloor contained a mechanism for plate tectonics.
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