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(a) The graph H is given by the picture (i What is the maxim possible value...
0, The height of an object, H, In fee is given in the graph after t...
0, The height of an object, H, In fee is given in the graph after t second have passed. In the graph the dependent variable is the height of the object in feet, and the independent variable is the number of seconds after it has been launched in the air. H(0) sentence that gives the real world meaning of the calculation) solve or evaluate and then write a complete H(t)-0 (solve or evaluate and then write a complete sentence that...
2. Find the value(s) of h which make each system consistent. 5 (b) (a)22y h 1...
2. Find the value(s) of h which make each system consistent. 5 (b) (a)22y h 1 (d)-2r3y 5 2rthy9 3. Suppose the system below is consistent for all possible values of f and . What can you say about the coefficients e and d Justify your answer
6.Let W={(a +b-c,2a +3b, -a +3c,-b-2c): a,b, CER) a) For what value of n is W...
6.Let W={(a +b-c,2a +3b, -a +3c,-b-2c): a,b, CER) a) For what value of n is W isomorphic to R"?, clear answer the question and justify your answer b) Find an isomorphism T:R" W for the value of n you found in part (a).Please make it clear from your work that your function T is really an isomorphism. 7.Let T:P2(R) – P2(R) be a linear transformation such that T(x2)=x2 a) Prove that if there exist distinct linearly independent polynomials 2,9 €...
All parts please. Negative Leading Coefficient 1. Use the graph of f'(x) to answer: On which...
All parts please.
Negative Leading Coefficient 1. Use the graph of f'(x) to answer: On which interval is f(x) increasing? Even Degree Justify your answer. 28+ -50+ -1 F(x) - O 2. Given the table and information below, complete the table to describe the behavior of f(x) and justify your conclusions with reference to the derivative. Sketch a possible graph for f(x) that goes through the point (-1,4) F"(x) Fis: F is: 3. Sketch a possible graph for f(x) that...
4. Consider a CT LTI system whose impulse response is given by h(t)( 3) (t 2))...
4. Consider a CT LTI system whose impulse response is given by h(t)( 3) (t 2)) (a) Sketch h(t), and label a mportant points. 2 2. b) Is the system causal? Circle your answer. No justification needed yes r ノ(c) Is the system stable? Circle your answer. No justification needed. or no ye d) Suppose the input to the system is r(t) ut 5). Over what range of t is the system output not equal to 0? Circle your answer....
For the following velocity graph, velocity is in m/s and time is in What is the...
For the following velocity graph, velocity is in m/s and time is in What is the acceleration of the object (i) between t = 0 and t = 1s; (ii) between t = 1s and t = 2s; (iii) between t = 2s and f = 5s; (iv) between t = 5s and t = 6s? If the object is initially at x = -5m, what is its position at t = Is, t = 2s, t = 5s, and...
Consider the following initial value problem у(0) — 0. у%3D х+ у, (i) Solve the differential equation above in tabul...
Consider the following initial value problem у(0) — 0. у%3D х+ у, (i) Solve the differential equation above in tabular form with h= 0.2 to approximate the solution at x=1 by using Euler's method. Give your answer accurate to 4 decimal places. Given the exact solution of the differential equation above is y= e-x-1. Calculate (ii) all the error and percentage of relative error between the exact and the approximate y values for each of values in (i) 0.2 0.4...
please I need solution as soon as possible Q2 Given the following heat conduction initial-boundary value...
please I need solution as soon as possible
Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x, t) represents the temperature. 9uxx = uti 0<x< 6; t>0; B.C.: uz (0.t) = 0; ux(6,t) = 0; t> 0; 1. C. :U(x,0) = 12 + 5cos (6x) – 4cos(2x); 0<x<6 (a) When t = 0, what would be the temperature at x = 3? (Use the initial condition.) (3 marks) (6) Determine whether the boundary...
B2. (a) Let I denote the interval 0,1 and let C denote the space of continuous functions I-R. Def...
B2. (a) Let I denote the interval 0,1 and let C denote the space of continuous functions I-R. Define dsup(f,g)-sup |f(t)-g(t) and di(f.g)f (t)- g(t)ldt (f,g E C) tEI (i) Prove that dsup is a metric on C (ii) Prove that di is a metric on C. (You may use any standard properties of continuous functions and integrals, provided you make your reasoning clear.) 6 i) Let 1 denote the constant function on I with value 1. Give an explicit...
Help, please !!! Answer all questions please. Thank u so much!!! 8 Given the graph of...
Help, please !!! Answer all questions please. Thank u so
much!!!
8 Given the graph of f(x) below find f(x)dx. 71 6 5 4 3 2 1 6 8 9 - 1 -2 Find the exact value and no decimal entries. f(x)dx = 1 Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time passed and values of the rate at two-hour time intervals are shown in the table. t (hr)...
0, The height of an object, H, In fee is given in the graph after t second have passed. In the graph the dependent variable is the height of the object in feet, and the independent variable is the number of seconds after it has been launched in the air. H(0) sentence that gives the real world meaning of the calculation) solve or evaluate and then write a complete H(t)-0 (solve or evaluate and then write a complete sentence that...
2. Find the value(s) of h which make each system consistent. 5 (b) (a)22y h 1 (d)-2r3y 5 2rthy9 3. Suppose the system below is consistent for all possible values of f and . What can you say about the coefficients e and d Justify your answer
6.Let W={(a +b-c,2a +3b, -a +3c,-b-2c): a,b, CER) a) For what value of n is W isomorphic to R"?, clear answer the question and justify your answer b) Find an isomorphism T:R" W for the value of n you found in part (a).Please make it clear from your work that your function T is really an isomorphism. 7.Let T:P2(R) – P2(R) be a linear transformation such that T(x2)=x2 a) Prove that if there exist distinct linearly independent polynomials 2,9 €...
All parts please.
Negative Leading Coefficient 1. Use the graph of f'(x) to answer: On which interval is f(x) increasing? Even Degree Justify your answer. 28+ -50+ -1 F(x) - O 2. Given the table and information below, complete the table to describe the behavior of f(x) and justify your conclusions with reference to the derivative. Sketch a possible graph for f(x) that goes through the point (-1,4) F"(x) Fis: F is: 3. Sketch a possible graph for f(x) that...
4. Consider a CT LTI system whose impulse response is given by h(t)( 3) (t 2)) (a) Sketch h(t), and label a mportant points. 2 2. b) Is the system causal? Circle your answer. No justification needed yes r ノ(c) Is the system stable? Circle your answer. No justification needed. or no ye d) Suppose the input to the system is r(t) ut 5). Over what range of t is the system output not equal to 0? Circle your answer....
For the following velocity graph, velocity is in m/s and time is in What is the acceleration of the object (i) between t = 0 and t = 1s; (ii) between t = 1s and t = 2s; (iii) between t = 2s and f = 5s; (iv) between t = 5s and t = 6s? If the object is initially at x = -5m, what is its position at t = Is, t = 2s, t = 5s, and...
Consider the following initial value problem у(0) — 0. у%3D х+ у, (i) Solve the differential equation above in tabular form with h= 0.2 to approximate the solution at x=1 by using Euler's method. Give your answer accurate to 4 decimal places. Given the exact solution of the differential equation above is y= e-x-1. Calculate (ii) all the error and percentage of relative error between the exact and the approximate y values for each of values in (i) 0.2 0.4...
please I need solution as soon as possible
Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x, t) represents the temperature. 9uxx = uti 0<x< 6; t>0; B.C.: uz (0.t) = 0; ux(6,t) = 0; t> 0; 1. C. :U(x,0) = 12 + 5cos (6x) – 4cos(2x); 0<x<6 (a) When t = 0, what would be the temperature at x = 3? (Use the initial condition.) (3 marks) (6) Determine whether the boundary...
B2. (a) Let I denote the interval 0,1 and let C denote the space of continuous functions I-R. Define dsup(f,g)-sup |f(t)-g(t) and di(f.g)f (t)- g(t)ldt (f,g E C) tEI (i) Prove that dsup is a metric on C (ii) Prove that di is a metric on C. (You may use any standard properties of continuous functions and integrals, provided you make your reasoning clear.) 6 i) Let 1 denote the constant function on I with value 1. Give an explicit...
Help, please !!! Answer all questions please. Thank u so
much!!!
8 Given the graph of f(x) below find f(x)dx. 71 6 5 4 3 2 1 6 8 9 - 1 -2 Find the exact value and no decimal entries. f(x)dx = 1 Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time passed and values of the rate at two-hour time intervals are shown in the table. t (hr)...
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