Homework Answers
Add Answer to:
Consider the function φ (x,y)-ex + e". Consider the point (x,y)= (1,1). Dyalculate the exact values...
Hello, I'm not quite sure how to begin with part B. My lecturer said to use the derivatives, but ...
Hello, I'm not quite sure how to begin with part
B. My lecturer said to use the derivatives, but I'm not
quite sure what she means. Thank you.
Q.3 Consider the function Ax.y)-ete, and consider the point (x, y (1,1). (a) Calculate the exact value of of /ox and of loy at this point. (4 marks) (b) Use first-order forward differences, with Δ-Δ-0.1, to calculate approximate values of oflax and ofly at point (1,1). Calculate the percentage difference when compared...
3. DO NOT USE CALCULATOR for this problem! Find the EXACT VALUES for all the parts. Given the function f(x,y) (a) Calculate the total differential of z at the point (x, y, z) (b) Use the total dif...
3. DO NOT USE CALCULATOR for this problem! Find the EXACT VALUES for all the parts. Given the function f(x,y) (a) Calculate the total differential of z at the point (x, y, z) (b) Use the total differential to estimate the value of f(1+2(10200),-1 3(10-200). [ Hint : dz= 2(10-200) dy=_3(10-200)]. (c) Calculate the exact diffe ( f(1.-) I Note: total differentiala exact difference. ] rence of f(1+2(10-200)10 200))- (d) Find an equation for the plane s-L(x,y) tangent t(:-: f(z,y)...
Question 1: Given the initial-value problem 12-21 0 <1 <1, y(0) = 1, 12+10 with exact...
Question 1: Given the initial-value problem 12-21 0 <1 <1, y(0) = 1, 12+10 with exact solution v(t) = 2t +1 t2 + 1 a. Use Euler's method with h = 0.1 to approximate the solution of y b. Calculate the error bound and compare the actual error at each step to the error bound. c. Use the answers generated in part (a) and linear interpolation to approximate the following values of y, and compare them to the actual value...
Consider the general sinusoidal function y(t)-Asin (wt + φ). Part a If A-1 and y(0)-1, what...
Consider the general sinusoidal function y(t)-Asin (wt + φ). Part a If A-1 and y(0)-1, what is φ? (Please state as a decimal answer, eg. 0.1 π-meaning add the zero in front) Enter answer here 0 of 6 attempts used CHECK ANSWER Part b If A-1 and y(0)-0.5, what is φ? Select the correct answer O 30 π Part c If y(t) describes the position with time, what is the proper formula for velocity with time? (Recall velocity is related...
Consider the initial value problem y' +y=e-, with y(0) = 0. PROJECT 1.) Find the exact...
Consider the initial value problem y' +y=e-, with y(0) = 0. PROJECT 1.) Find the exact solution to this equation, say 0(x). 2.) Use MATLAB to plot 6(x) in the interval [0.0, 4.0] . Use sufficient points to obtain a smooth curve. 3.) Now create a MATLAB program that uses Euler's Method to approximate the values of $(2) at N = 10 equally spaced points in (0,4). Plot these points on the same plot that was generated in part 2....
Exam 2018s1] Consider the function f R2 R, defined by f(x,y) =12y + 3y-2 (a) Find the first-order Taylor approximation at the point Xo-(1,-2) and use it to find an approximate value for f(1.1,-2.1 (b...
Exam 2018s1] Consider the function f R2 R, defined by f(x,y) =12y + 3y-2 (a) Find the first-order Taylor approximation at the point Xo-(1,-2) and use it to find an approximate value for f(1.1,-2.1 (b) Calculate the Hessian 1 (x-4)' (Hr(%)) (x-%) at X-(1-2) c) Find the second-order Taylor approximation at xo- (1,-2) and use it to find an approximate value for f(1.1,-2.1 Use the calculator to compute the exact value of the function f(11,-2.1)
Exam 2018s1] Consider the function...
2. -133.33 points Find the exact extreme values of the function :-} (x,y) - (- 6)...
2. -133.33 points Find the exact extreme values of the function :-} (x,y) - (- 6) + (y-2) + 50 subject to the following constraints: OS:5 18 OSS 13 Start by listing all nine candidates, including their z values, in the form (X,Y.2): First, list the four corner points and order your answers from smallest to largest x, then from smallest to largest y. 3) Next find the critical point. Lastly, find the four boundary points and order your answers...
Use 6 decimal places in your calculations Consider the following IVP: 5 x a) Compute y(0.4) using Euler's method with step size h 0.1. b) If the exact solution is y - ex+ ex, then find the true e...
Use 6 decimal places in your calculations Consider the following IVP: 5 x a) Compute y(0.4) using Euler's method with step size h 0.1. b) If the exact solution is y - ex+ ex, then find the true error at each case
Use 6 decimal places in your calculations Consider the following IVP: 5 x a) Compute y(0.4) using Euler's method with step size h 0.1. b) If the exact solution is y - ex+ ex, then find the true...
3) Consider a particle moving in the circular trajectory x(t) = 2 cos(t) and y(t) 2sin(t) subject to the potential U(x,...
3) Consider a particle moving in the circular trajectory x(t) = 2 cos(t) and y(t) 2sin(t) subject to the potential U(x, y)-x2 (2 - ry) (a) (2 marks) Use the chain rule to calculate d at t = 0. (b) (3 marks) Calculate the change potential from compare it to the approximation 0.1 and 0 to t dt Repeat the comparison for the interval from t - 0 to t-0.01. (Be sure to keep enough significant digits to resolve the...
Observe that the point (1,1,1) satisfies the equation 2. Although we may not be able to write down a formula for z in terms of x and y there is a function z(x,y) that has continuous partial derivativ...
Observe that the point (1,1,1) satisfies the equation 2. Although we may not be able to write down a formula for z in terms of x and y there is a function z(x,y) that has continuous partial derivatives, is defined for (x,y) near (1,1), and for which z(1,1) 1. For this function find the values of the partials дг/дх (1,1) and дг/ду (1,1). Use this to approximate z(1.1 ,9). Finally, find Эгјах (1,1). If we try to do similar calculations...
Hello, I'm not quite sure how to begin with part
B. My lecturer said to use the derivatives, but I'm not
quite sure what she means. Thank you.
Q.3 Consider the function Ax.y)-ete, and consider the point (x, y (1,1). (a) Calculate the exact value of of /ox and of loy at this point. (4 marks) (b) Use first-order forward differences, with Δ-Δ-0.1, to calculate approximate values of oflax and ofly at point (1,1). Calculate the percentage difference when compared...
3. DO NOT USE CALCULATOR for this problem! Find the EXACT VALUES for all the parts. Given the function f(x,y) (a) Calculate the total differential of z at the point (x, y, z) (b) Use the total differential to estimate the value of f(1+2(10200),-1 3(10-200). [ Hint : dz= 2(10-200) dy=_3(10-200)]. (c) Calculate the exact diffe ( f(1.-) I Note: total differentiala exact difference. ] rence of f(1+2(10-200)10 200))- (d) Find an equation for the plane s-L(x,y) tangent t(:-: f(z,y)...
Question 1: Given the initial-value problem 12-21 0 <1 <1, y(0) = 1, 12+10 with exact solution v(t) = 2t +1 t2 + 1 a. Use Euler's method with h = 0.1 to approximate the solution of y b. Calculate the error bound and compare the actual error at each step to the error bound. c. Use the answers generated in part (a) and linear interpolation to approximate the following values of y, and compare them to the actual value...
Consider the general sinusoidal function y(t)-Asin (wt + φ). Part a If A-1 and y(0)-1, what is φ? (Please state as a decimal answer, eg. 0.1 π-meaning add the zero in front) Enter answer here 0 of 6 attempts used CHECK ANSWER Part b If A-1 and y(0)-0.5, what is φ? Select the correct answer O 30 π Part c If y(t) describes the position with time, what is the proper formula for velocity with time? (Recall velocity is related...
Consider the initial value problem y' +y=e-, with y(0) = 0. PROJECT 1.) Find the exact solution to this equation, say 0(x). 2.) Use MATLAB to plot 6(x) in the interval [0.0, 4.0] . Use sufficient points to obtain a smooth curve. 3.) Now create a MATLAB program that uses Euler's Method to approximate the values of $(2) at N = 10 equally spaced points in (0,4). Plot these points on the same plot that was generated in part 2....
Exam 2018s1] Consider the function f R2 R, defined by f(x,y) =12y + 3y-2 (a) Find the first-order Taylor approximation at the point Xo-(1,-2) and use it to find an approximate value for f(1.1,-2.1 (b) Calculate the Hessian 1 (x-4)' (Hr(%)) (x-%) at X-(1-2) c) Find the second-order Taylor approximation at xo- (1,-2) and use it to find an approximate value for f(1.1,-2.1 Use the calculator to compute the exact value of the function f(11,-2.1)
Exam 2018s1] Consider the function...
2. -133.33 points Find the exact extreme values of the function :-} (x,y) - (- 6) + (y-2) + 50 subject to the following constraints: OS:5 18 OSS 13 Start by listing all nine candidates, including their z values, in the form (X,Y.2): First, list the four corner points and order your answers from smallest to largest x, then from smallest to largest y. 3) Next find the critical point. Lastly, find the four boundary points and order your answers...
Use 6 decimal places in your calculations Consider the following IVP: 5 x a) Compute y(0.4) using Euler's method with step size h 0.1. b) If the exact solution is y - ex+ ex, then find the true error at each case
Use 6 decimal places in your calculations Consider the following IVP: 5 x a) Compute y(0.4) using Euler's method with step size h 0.1. b) If the exact solution is y - ex+ ex, then find the true...
3) Consider a particle moving in the circular trajectory x(t) = 2 cos(t) and y(t) 2sin(t) subject to the potential U(x, y)-x2 (2 - ry) (a) (2 marks) Use the chain rule to calculate d at t = 0. (b) (3 marks) Calculate the change potential from compare it to the approximation 0.1 and 0 to t dt Repeat the comparison for the interval from t - 0 to t-0.01. (Be sure to keep enough significant digits to resolve the...
Observe that the point (1,1,1) satisfies the equation 2. Although we may not be able to write down a formula for z in terms of x and y there is a function z(x,y) that has continuous partial derivatives, is defined for (x,y) near (1,1), and for which z(1,1) 1. For this function find the values of the partials дг/дх (1,1) and дг/ду (1,1). Use this to approximate z(1.1 ,9). Finally, find Эгјах (1,1). If we try to do similar calculations...
Most questions answered within 3 hours.
-
The U.S. Department of Transportation, National Highway Traffic
Safety Administration, reported that 77% of all fatally...
asked 6 minutes ago -
For 1 through 11, create an expression using the relational
operators, the logical operators, and variable...
asked 19 minutes ago -
Remove all recursion from the following grammar:
S -> Aa | Bb
A -> Aa |...
asked 12 minutes ago -
The production budget for Manner Company shows units to be
produced as follows: July, 550; August,...
asked 22 minutes ago -
Your group is required to develop a comprehensive Business plan
that will be used as a...
asked 26 minutes ago -
a radio station transmits at 78.1 mhz. a hz is an inverse
second. how far apart...
asked 45 minutes ago -
Write the equilibrium expression for the dissociation in
water for CH5N, C2H5O2COOH, H3AsO4, KClO2, HC2H2ClO2.
asked 50 minutes ago -
In risk management, insurance is an example of:
Select one:
a. Risk avoidance
b. Risk deflection...
asked 52 minutes ago -
Wildhorse Company follows the practice of pricing its inventory
at the lower-of-cost-or-market, on an individual-item
basis....
asked 1 hour ago -
3. (10 pts) You grow a corn crop that yields 150 bushels ac-1,
with the following...
asked 1 hour ago -
7. The term Six Sigma refers to:
Select one:
a. The control limits established in a...
asked 1 hour ago -
For the following reaction: A(g) + 2 B(g) ⇌ 2 C(g) Calculate the
equilibrium constant K...
asked 1 hour ago