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3. (15 marks) (a) (3 marks) What is a logistic sigmoidal function and what can it be used for? Assign values to the the necessary parameters in the logistic sigmoidal curve and use these to complete...
thx!!!! Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in...
thx!!!!
Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...
Show all steps clearly, to receive full marks for your solutions. 10. For each of the...
Show all steps clearly, to receive full marks for your solutions. 10. For each of the following, identify the base function and describe the transformation(s): Fle) = P(x + 1) f(x) = -4(3x)* + 5 (8 marks) 11. 12. Describe the transformations that must be applied to the graph of the base function (3) to obtain the transformed function. Write the transformed equation in simplified form. f(x) = x, y=71-5 (x - 1)) + 1 (10 marks) State the base...
1+1 5. [10 marks) Find all values of k such that f(x) = -r2 + 2kr...
1+1 5. [10 marks) Find all values of k such that f(x) = -r2 + 2kr +1" has domain (-0,0). 6. [10 marks] Sketch the graph of y = -2 -2 log: (2-2) and find its domain, range, -intercept and y-intercept. Show your transformations step by step. 7. (12 marks] (a) [8 marks) Find the equation of the tangent line to the graph of the function f(x) = 3.0" - 6x2 - 7 at = 2 (b) (4 marks) Find...
Please answer the following questions with solution, thanks 4. Consider the function f(x) = 2x +...
Please answer the following questions with solution, thanks
4. Consider the function f(x) = 2x + 1, a) Find the ordered pair (4. f(4) on the function. b) Find the ordered pair on the inverse relation that corresponds to the ordered pair from part a). c) Find the domain and range of f. d) Find the domain and the range of the inverse relation off. e) Is the inverse relation a function? Explain. 5. Repeat question 4 for the function...
1. Complete the table below for f(x)=3". Use exact values. No work needed. [1.25 points) -...
1. Complete the table below for f(x)=3". Use exact values. No work needed. [1.25 points) - 101 y = f(x) 2. Consider the functions gtx)=(13)" and h(x) =--() +4 12.5,1.25, 1.5 points) a) The points given below (in the first column) belong to g(x)= - Perform two b) Use the point found in part a) to sketch a graph of y=h(x). Include the horizontal asymptote as a dashed line. Approximate point placement where necessary. transformations (and show how the points...
Control Assignment 2017/18 In order to complete this assignment you will have to consider a system...
Control Assignment 2017/18 In order to complete this assignment you will have to consider a system which is unique to you. Th parameters of the system are derived from your student mumber and so if you use the wrong mumber you will get the wrong answers and will lose marks. Use the last two digits of your student mumber where Ki-last but_one_digit+I and K-last digit+1. Thus the mumber 201656789 would give K9 and K 10. When you submit your report,...
Problem 3 You are given the following data: 510 15 20 25 30 35 40 45 50 Y 17 24 31 33 37 37 40 40 42 41 a. Use line...
Problem 3 You are given the following data: 510 15 20 25 30 35 40 45 50 Y 17 24 31 33 37 37 40 40 42 41 a. Use linear regression to fit a straight line, a parabola, and a cubic function to the data b. Plot the data and the different curves on the same plot c. What are the errors associated with the derived parameters for the different curves? d. Which curve best aligns with the given...
Use Matlab... Use given variables... %Set values of parameters H0 = 4000 ; v0 = 0; vplane = 38.9...
Use Matlab... Use given variables...
%Set values of parameters
H0 = 4000 ;
v0 = 0;
vplane = 38.9;
vwind = 7.0;
g = -9.81;
td = 45;
dt = 0.1;
%initial conditions
%To minimize edits, let v = vertical velocity, and vx = horizontal
velocity
y(1) = H0;
v(1) = v0;
t(1) = 0;
x(1) = 0;
vx(1) = vplane;
%loop until parachutist reaches the ground
%Calculate te horizontal distance traveled before and after the
parachute opens
d_free =...
Question 1 (32 marks) Consider a firm which produces a good, y, using two inputs or factors of production, x1 and...
Question 1 (32 marks) Consider a firm which produces a good, y, using two inputs or factors of production, x1 and x2. The firm's production function describes the mathematical relationship between inputs and output, and is given by (a) Derive the degree of homogeneity of the firm's production function. 4 marks) (b) The set is the set of combinations of (xi,x2) which produce output level yo.S is a level curve of f and is referred to by economists as the...
Use R 1. A light bulb manufacturer claims their light bulbs as for 1,000 hours. You...
Use R
1. A light bulb manufacturer claims their light bulbs as for 1,000 hours. You sample 50 light bulbs and you find that the sample average light bulb lifetime duration is 955 hours. Assume that you know the population standard deviation, and that it is 220 hours. That is n 50、 x"= 955, σ = 220 Test the null hypothesis Ho: μ-1,000 against the alternative hypothesis Ha: μ < 1,000 at the 0.05 significance level a. Calculate the critical...
thx!!!!
Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...
Show all steps clearly, to receive full marks for your solutions. 10. For each of the following, identify the base function and describe the transformation(s): Fle) = P(x + 1) f(x) = -4(3x)* + 5 (8 marks) 11. 12. Describe the transformations that must be applied to the graph of the base function (3) to obtain the transformed function. Write the transformed equation in simplified form. f(x) = x, y=71-5 (x - 1)) + 1 (10 marks) State the base...
1+1 5. [10 marks) Find all values of k such that f(x) = -r2 + 2kr +1" has domain (-0,0). 6. [10 marks] Sketch the graph of y = -2 -2 log: (2-2) and find its domain, range, -intercept and y-intercept. Show your transformations step by step. 7. (12 marks] (a) [8 marks) Find the equation of the tangent line to the graph of the function f(x) = 3.0" - 6x2 - 7 at = 2 (b) (4 marks) Find...
Please answer the following questions with solution, thanks
4. Consider the function f(x) = 2x + 1, a) Find the ordered pair (4. f(4) on the function. b) Find the ordered pair on the inverse relation that corresponds to the ordered pair from part a). c) Find the domain and range of f. d) Find the domain and the range of the inverse relation off. e) Is the inverse relation a function? Explain. 5. Repeat question 4 for the function...
1. Complete the table below for f(x)=3". Use exact values. No work needed. [1.25 points) - 101 y = f(x) 2. Consider the functions gtx)=(13)" and h(x) =--() +4 12.5,1.25, 1.5 points) a) The points given below (in the first column) belong to g(x)= - Perform two b) Use the point found in part a) to sketch a graph of y=h(x). Include the horizontal asymptote as a dashed line. Approximate point placement where necessary. transformations (and show how the points...
Control Assignment 2017/18 In order to complete this assignment you will have to consider a system which is unique to you. Th parameters of the system are derived from your student mumber and so if you use the wrong mumber you will get the wrong answers and will lose marks. Use the last two digits of your student mumber where Ki-last but_one_digit+I and K-last digit+1. Thus the mumber 201656789 would give K9 and K 10. When you submit your report,...
Problem 3 You are given the following data: 510 15 20 25 30 35 40 45 50 Y 17 24 31 33 37 37 40 40 42 41 a. Use linear regression to fit a straight line, a parabola, and a cubic function to the data b. Plot the data and the different curves on the same plot c. What are the errors associated with the derived parameters for the different curves? d. Which curve best aligns with the given...
Use Matlab... Use given variables...
%Set values of parameters
H0 = 4000 ;
v0 = 0;
vplane = 38.9;
vwind = 7.0;
g = -9.81;
td = 45;
dt = 0.1;
%initial conditions
%To minimize edits, let v = vertical velocity, and vx = horizontal
velocity
y(1) = H0;
v(1) = v0;
t(1) = 0;
x(1) = 0;
vx(1) = vplane;
%loop until parachutist reaches the ground
%Calculate te horizontal distance traveled before and after the
parachute opens
d_free =...
Question 1 (32 marks) Consider a firm which produces a good, y, using two inputs or factors of production, x1 and x2. The firm's production function describes the mathematical relationship between inputs and output, and is given by (a) Derive the degree of homogeneity of the firm's production function. 4 marks) (b) The set is the set of combinations of (xi,x2) which produce output level yo.S is a level curve of f and is referred to by economists as the...
Use R
1. A light bulb manufacturer claims their light bulbs as for 1,000 hours. You sample 50 light bulbs and you find that the sample average light bulb lifetime duration is 955 hours. Assume that you know the population standard deviation, and that it is 220 hours. That is n 50、 x"= 955, σ = 220 Test the null hypothesis Ho: μ-1,000 against the alternative hypothesis Ha: μ < 1,000 at the 0.05 significance level a. Calculate the critical...
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