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5. Rewrite the following in radical (root) form, then evaluate. [4 marks) a) 643 b) 817...
Use the definition of a logarithmic function to rewrite the equation in exponential form. 1 -3...
Use the definition of a logarithmic function to rewrite the equation in exponential form. 1 -3 = log2 8 (1)3 13 2 Solve for x by writing the equation in exponential form. 1 log 16(x) 2 X = -4 X Solve for x by writing the equation in exponential form. log;(2x + 17) = 2 + X = Write the equation in logarithmic form and solve for x. (Round your answer to three decimal places.) 7x + 5 0.36 e...
Evaluate log5625 using the following methods. By switching from logarithmic to exponential form By cancelling the...
Evaluate log5625 using the following methods. By switching from logarithmic to exponential form By cancelling the base with the log base By using the "change of base" rule Simplify and evaluate each of the following expressions using the laws of logarithms. log62+log618 log4256+log42−log48 log2128−3log24 Solve each of the following equations. logx81=2 log12x=3 log7(2x−5)=3 Task 2: Thinking questions Use systematic trial and error to evaluate log35. A culture of bacteria doubles every three hours. The initial culture contains 500 bacteria. How...
Student ID No. lill working. An swers only score no marks 1. Evaluate the 4th order...
Student ID No. lill working. An swers only score no marks 1. Evaluate the 4th order determinant by any preferred m 3 2 -2 0 2 -2 1 3 2. Solve the system of linear equations by an appropriate m -x-3y + 4z =-7 2x-y = 9 3x+4y-z-9 x,-3x, +x, +2x, =4 (b) { 5x, + x2-5x3 + 4x4 = 10 2x, + 2x2-3x3 +x, = 3 (a) 3. The vertices of a triangle are A(2, 2,-3), B(1,5,1), C-
5. (6 marks) Rewrite the following expressions using partial fractions. Check your results using Matlab. (a)...
5. (6 marks) Rewrite the following expressions using partial
fractions. Check your results using Matlab. (a) s + 2 /s(s + 1) (b)
s + 1 /(s − 1)2 (c) s 2 + 1 /s 2 − 1
5. (6 marks) Rewrite the following expressions using partial fractions. Check your results using Matlab. 3 +2 3+ 1 $2+1 (a) 38 +1) (b) is - 1) (c) 52 - 1
32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6...
32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6 = 2-5x a. b. x/m + x/n = 1 C 1/x = 3/m d. Sx/3 = 2 34. Find b if: x/(x+a) = 2/b a. b. v(x - b') =y 35. Solve the following Simultaneous linear equations and check in both equations: a) 3x+y=-4 x-2y 1 b) 5x+y=-8 2x-2y 4 Answer: x-1, y.3 36. Evaluate the expression below, if b-3 and c-2. 2bc'+(bc) Helpful...
1. [6 marks] Solve for x. Answers that are not integers should be left in fractional...
1. [6 marks] Solve for x. Answers that are not integers should be left in fractional form. (a) -2x + 3x-6=12-10 (c)-38.4 =-6.4x (b)-9x-14 =-16 오- (d)-x1 (e) 3x + 7 =-1+9x 2. [4 marks] Remove the parentheses and solve for the variable. Answers that are not int in fractional form. (a) 2(x + 2) = 3(x-4) egers should be left (b) 20-(2x + 6) = 5(2-x)+2x
5. [5 marks] (a) A= = (4) B = (23) Calculate AB and BA (b) Evaluate...
5. [5 marks] (a) A= = (4) B = (23) Calculate AB and BA (b) Evaluate S(4x3 – 3x2 + 2x – 1)dx (c) Convert the parametric equation to both vector and Cartesian form: [5 marks) X = 2 +31 y = 1 -21 z = 42 [5 marks) (c) A card is picked at random from a pack of 20 cards numbers 1, 2, 3, ..., 20. Given that the card shows an even number, find the probability that...
Solve the following system of equations. X+ y+ z- w = 4 3x + y- z+...
Solve the following system of equations. X+ y+ z- w = 4 3x + y- z+ w = 10 x- 4y + 32+ w = -5 -x- y+ 2+ 4w = 4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is one solution. The solution is ). (Type integers or simplified fractions.) O B. There are infinitely many solutions. The solutions are ( (Type integers or simplified fractions.)...
1. For the following two systems of linear equations answer the questions 4 + x +...
1. For the following two systems of linear equations answer the questions 4 + x + 2xy + 2x - 6 3x + 2x + 3x3 + 3x = 11 2x + 2x + 3.5+ 2x- 9 2x + 2x+4x3+5x - 13 3x, +2, +4x3+4x-13 3x+3x+3x2+2x, -11 (1) Solve the above systems of linear equations using naive Gauss elimination (b) solve the above systems of linear equations using Gauss elimination with partial pivoting . Axb 2. For the following matrix...
2. Solve the following equations: (4 pts ea.) a. 5x – 2y = 15 & 3x...
2. Solve the following equations: (4 pts ea.) a. 5x – 2y = 15 & 3x + 2y = -7 b. 2x + 3y = 3 & - 10x + 2y = -32
Use the definition of a logarithmic function to rewrite the equation in exponential form. 1 -3 = log2 8 (1)3 13 2 Solve for x by writing the equation in exponential form. 1 log 16(x) 2 X = -4 X Solve for x by writing the equation in exponential form. log;(2x + 17) = 2 + X = Write the equation in logarithmic form and solve for x. (Round your answer to three decimal places.) 7x + 5 0.36 e...
Student ID No. lill working. An swers only score no marks 1. Evaluate the 4th order determinant by any preferred m 3 2 -2 0 2 -2 1 3 2. Solve the system of linear equations by an appropriate m -x-3y + 4z =-7 2x-y = 9 3x+4y-z-9 x,-3x, +x, +2x, =4 (b) { 5x, + x2-5x3 + 4x4 = 10 2x, + 2x2-3x3 +x, = 3 (a) 3. The vertices of a triangle are A(2, 2,-3), B(1,5,1), C-
5. (6 marks) Rewrite the following expressions using partial
fractions. Check your results using Matlab. (a) s + 2 /s(s + 1) (b)
s + 1 /(s − 1)2 (c) s 2 + 1 /s 2 − 1
5. (6 marks) Rewrite the following expressions using partial fractions. Check your results using Matlab. 3 +2 3+ 1 $2+1 (a) 38 +1) (b) is - 1) (c) 52 - 1
32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6 = 2-5x a. b. x/m + x/n = 1 C 1/x = 3/m d. Sx/3 = 2 34. Find b if: x/(x+a) = 2/b a. b. v(x - b') =y 35. Solve the following Simultaneous linear equations and check in both equations: a) 3x+y=-4 x-2y 1 b) 5x+y=-8 2x-2y 4 Answer: x-1, y.3 36. Evaluate the expression below, if b-3 and c-2. 2bc'+(bc) Helpful...
1. [6 marks] Solve for x. Answers that are not integers should be left in fractional form. (a) -2x + 3x-6=12-10 (c)-38.4 =-6.4x (b)-9x-14 =-16 오- (d)-x1 (e) 3x + 7 =-1+9x 2. [4 marks] Remove the parentheses and solve for the variable. Answers that are not int in fractional form. (a) 2(x + 2) = 3(x-4) egers should be left (b) 20-(2x + 6) = 5(2-x)+2x
5. [5 marks] (a) A= = (4) B = (23) Calculate AB and BA (b) Evaluate S(4x3 – 3x2 + 2x – 1)dx (c) Convert the parametric equation to both vector and Cartesian form: [5 marks) X = 2 +31 y = 1 -21 z = 42 [5 marks) (c) A card is picked at random from a pack of 20 cards numbers 1, 2, 3, ..., 20. Given that the card shows an even number, find the probability that...
Solve the following system of equations. X+ y+ z- w = 4 3x + y- z+ w = 10 x- 4y + 32+ w = -5 -x- y+ 2+ 4w = 4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is one solution. The solution is ). (Type integers or simplified fractions.) O B. There are infinitely many solutions. The solutions are ( (Type integers or simplified fractions.)...
1. For the following two systems of linear equations answer the questions 4 + x + 2xy + 2x - 6 3x + 2x + 3x3 + 3x = 11 2x + 2x + 3.5+ 2x- 9 2x + 2x+4x3+5x - 13 3x, +2, +4x3+4x-13 3x+3x+3x2+2x, -11 (1) Solve the above systems of linear equations using naive Gauss elimination (b) solve the above systems of linear equations using Gauss elimination with partial pivoting . Axb 2. For the following matrix...
2. Solve the following equations: (4 pts ea.) a. 5x – 2y = 15 & 3x + 2y = -7 b. 2x + 3y = 3 & - 10x + 2y = -32
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