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QUESTION 2 a. Factorize completely 16x4 y²m-32 mxb (1 mark) b. Using a scale 2 cm...
QUESTION 2 a. Factorize completely 16x4 y²m-32 mx²b (1 mark) b. Using a scale 2 cm...
QUESTION 2 a. Factorize completely 16x4 y²m-32 mx²b (1 mark) b. Using a scale 2 cm to represent 1 unit on the x axis and 1 cm to represent 1 unit on the axis, draw the graph of the function f(x)=x2-2x-3 for the domain-2<x54 marks) (6 c. From the graph above determine 1. II. The coordinates of the maximum or minimum point The roots of f(x)=x² – 2x-3 (3 marks) By explanation or otherwise on the graph how do you...
QUESTION 1 a. The sum of eight and a certain number is multiplied by six gives...
QUESTION 1 a. The sum of eight and a certain number is multiplied by six gives fifty four. What is the number (3 marks) b. It was observed that Duke Street intersect Habour Street at right angle adjacent the Bank of Nova Scotia down town, Kingston which for most part are straight roads. If Harbour Street and Duke Street are represented by equations x+2y=9A2x-y=-2 respectively and two cars are travelling the same distance and speed. At what point will they...
QUESTION 1 a. The sum of eight and a certain number is multiplied by six gives...
QUESTION 1 a. The sum of eight and a certain number is multiplied by six gives fifty four. What is the number (3 marks) b. It was observed that Duke Street intersect Habour Street at right angle adjacent the Bank of Nova Scotia down town, Kingston which for most part are straight roads. If Harbour Street and Duke Street are represented by equations x+2y=9A2x-y=-2 respectively and two cars are travelling the same distance and speed. At what point will they...
3. Find m for which the following lines do not form a triangle. x+2y 5D, 2x-3y-4 .2, mx+y 0 [Sol] Since line 3 pass...
3. Find m for which the following lines do not form a triangle. x+2y 5D, 2x-3y-4 .2, mx+y 0 [Sol] Since line 3 passes through the origin, lines D, 2 and 3will not form a triangle in the following three cases: wor When D and 3 are (i) parallel. doa When 2 and 3 are (ii) parallel. When D, and 3 all intersect at one point. (ii Therefore, from ( i ), (ii) and (iii), m 4. Find a for...
Question 4 (2+4+4+1+4 = 15 marks) Consider the function y = 4 sin (2x-π) for-r below to sketch the graph of y. x < π. Follow the steps (a) State the amplitude and period in the graph of this funct...
Question 4 (2+4+4+1+4 = 15 marks) Consider the function y = 4 sin (2x-π) for-r below to sketch the graph of y. x < π. Follow the steps (a) State the amplitude and period in the graph of this function 4 sin (22-9 ) for-r (b) Solve y π to find the horizontal intercepts x (a-intercepts) of the function. (c) Find the values of x for-π π for which the maximum. and the x minimum values of the function occur...
(3) For the function y =-2(x-1)2 find a) vertex b) axis of symmetry c) maximum or...
(3) For the function y =-2(x-1)2 find a) vertex b) axis of symmetry c) maximum or minimum value d) graph the function e) Intervals of increasing and decreasing °For the function y = 0.5(x + 3)2 + 2, find a) vertex b) axis of symmetry c) maximum or minimum value d) graph the function e) Intervals of increasing and decreasing
m 2020 Show all work for full credit. Clearly mark answers. Include units where appropriate. 1....
m 2020 Show all work for full credit. Clearly mark answers. Include units where appropriate. 1. For f(x)=sin(x)], use your knowledge of sine and absolute value to write as a piecewise function for the x-values-21 SxS 2, by first considering where the sine function is positive and negative. Then graph / 3 3. -2 SX<- -2.x 0 2x 2 2 2 -ASX 0 f(x) = OSYA f(x) SXS 2. X tele AT 0:5 -2 -371/2 2 0 T12 31/2 2m...
y(cm) 1) Snapshots Make History. A snapshot graph of a wave at t 2 s is...
y(cm) 1) Snapshots Make History. A snapshot graph of a wave at t 2 s is shown to the right. If the wave travels at 1 m/s to the left, draw the history graph for this wave at x 3 m from t = 0 s to t 6 s. Your solution must contain at least 3 sketches of snapshot graphs at different times. 1 m/s x (m) 1 2 3 4 5 6 7 -1
EXERCISE 2.4 1. Given $1 = {3,6,9, 52 = (a, b), and S3 = {m, n},...
EXERCISE 2.4 1. Given $1 = {3,6,9, 52 = (a, b), and S3 = {m, n}, find the Cartesian products: (0) Sy x 52 (b) $2 x S3 (C) 53 x 51 5. If the domain of the function y=5+ 3x is the set (* 1<x< 9), find the range of the function and express it as a set. EXERCISE 2.3 3. Referring to the four sets given in Prob. 2, find: (a) S, US (c) S2 S3 () 54...
matlab only Question 5: a.) Write an m-file using conditional statements to evaluate the following function, assuming that the scalar variable x has a value. The function is for x <-1 - 3e y=2...
matlab only
Question 5: a.) Write an m-file using conditional statements to evaluate the following function, assuming that the scalar variable x has a value. The function is for x <-1 - 3e y=2+cos(m) for-1 x<5 y 10-5)+1 for r 2 5 Use your file to evaluate y for x5, x-3, and x-15, and Use keyboard entry for values of x. b.) Use a for loop in the above file to plot the above function over the interval -2x <10....
QUESTION 2 a. Factorize completely 16x4 y²m-32 mx²b (1 mark) b. Using a scale 2 cm to represent 1 unit on the x axis and 1 cm to represent 1 unit on the axis, draw the graph of the function f(x)=x2-2x-3 for the domain-2<x54 marks) (6 c. From the graph above determine 1. II. The coordinates of the maximum or minimum point The roots of f(x)=x² – 2x-3 (3 marks) By explanation or otherwise on the graph how do you...
QUESTION 1 a. The sum of eight and a certain number is multiplied by six gives fifty four. What is the number (3 marks) b. It was observed that Duke Street intersect Habour Street at right angle adjacent the Bank of Nova Scotia down town, Kingston which for most part are straight roads. If Harbour Street and Duke Street are represented by equations x+2y=9A2x-y=-2 respectively and two cars are travelling the same distance and speed. At what point will they...
QUESTION 1 a. The sum of eight and a certain number is multiplied by six gives fifty four. What is the number (3 marks) b. It was observed that Duke Street intersect Habour Street at right angle adjacent the Bank of Nova Scotia down town, Kingston which for most part are straight roads. If Harbour Street and Duke Street are represented by equations x+2y=9A2x-y=-2 respectively and two cars are travelling the same distance and speed. At what point will they...
3. Find m for which the following lines do not form a triangle. x+2y 5D, 2x-3y-4 .2, mx+y 0 [Sol] Since line 3 passes through the origin, lines D, 2 and 3will not form a triangle in the following three cases: wor When D and 3 are (i) parallel. doa When 2 and 3 are (ii) parallel. When D, and 3 all intersect at one point. (ii Therefore, from ( i ), (ii) and (iii), m 4. Find a for...
Question 4 (2+4+4+1+4 = 15 marks) Consider the function y = 4 sin (2x-π) for-r below to sketch the graph of y. x < π. Follow the steps (a) State the amplitude and period in the graph of this function 4 sin (22-9 ) for-r (b) Solve y π to find the horizontal intercepts x (a-intercepts) of the function. (c) Find the values of x for-π π for which the maximum. and the x minimum values of the function occur...
(3) For the function y =-2(x-1)2 find a) vertex b) axis of symmetry c) maximum or minimum value d) graph the function e) Intervals of increasing and decreasing °For the function y = 0.5(x + 3)2 + 2, find a) vertex b) axis of symmetry c) maximum or minimum value d) graph the function e) Intervals of increasing and decreasing
m 2020 Show all work for full credit. Clearly mark answers. Include units where appropriate. 1. For f(x)=sin(x)], use your knowledge of sine and absolute value to write as a piecewise function for the x-values-21 SxS 2, by first considering where the sine function is positive and negative. Then graph / 3 3. -2 SX<- -2.x 0 2x 2 2 2 -ASX 0 f(x) = OSYA f(x) SXS 2. X tele AT 0:5 -2 -371/2 2 0 T12 31/2 2m...
y(cm) 1) Snapshots Make History. A snapshot graph of a wave at t 2 s is shown to the right. If the wave travels at 1 m/s to the left, draw the history graph for this wave at x 3 m from t = 0 s to t 6 s. Your solution must contain at least 3 sketches of snapshot graphs at different times. 1 m/s x (m) 1 2 3 4 5 6 7 -1
EXERCISE 2.4 1. Given $1 = {3,6,9, 52 = (a, b), and S3 = {m, n}, find the Cartesian products: (0) Sy x 52 (b) $2 x S3 (C) 53 x 51 5. If the domain of the function y=5+ 3x is the set (* 1<x< 9), find the range of the function and express it as a set. EXERCISE 2.3 3. Referring to the four sets given in Prob. 2, find: (a) S, US (c) S2 S3 () 54...
matlab only
Question 5: a.) Write an m-file using conditional statements to evaluate the following function, assuming that the scalar variable x has a value. The function is for x <-1 - 3e y=2+cos(m) for-1 x<5 y 10-5)+1 for r 2 5 Use your file to evaluate y for x5, x-3, and x-15, and Use keyboard entry for values of x. b.) Use a for loop in the above file to plot the above function over the interval -2x <10....
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