Homework Answers
Q4: (6 Marks) Let Z2 = 5 + 7j . a) Find the modulus and the...
Q4: (6 Marks) Let Z2 = 5 + 7j . a) Find the modulus and the argument of Zz. b) Express 22 in polar form r cose + r sine i Q5. Let f(x) = 6x2 – 2x – 3, part of the graph of funtion shown below. (1+1+2 Marks) (a) Draw the graph of y = 2 on the same axis. (b) Use the graph to find: (i) The values of of x when 6x2 – 2x - 3...
Q3 (5 Marks) Find the values of x and y such that {(x + yi) =(-1...
Q3 (5 Marks) Find the values of x and y such that {(x + yi) =(-1 + 71)2 04: (6 Marks) Let Z2 = 5 + 7j a) Find the modulus and the argument of Zz. b) Express 2, in polar form r cose + r sino ; Q5. Let f(x) = 6x2 - 2x - 3, part of the graph of funtion shown below. (1+1+2 Marks) (a) Draw the graph of y = 2 on the same axis. (b)...
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) -...
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
x2–2x-3 Let f(x) = Find the X-value(s) for which the graph of y = f(x) has...
x2–2x-3 Let f(x) = Find the X-value(s) for which the graph of y = f(x) has a horizontal tangent line. x+2
answer all and show work please. clear hand writing please 1. (6 points) Let f(x) =...
answer all and show work please. clear hand writing
please
1. (6 points) Let f(x) = -x2 - 2x + 3. (a) Does the graph of f(x) open upward or downward? Justify your answer. 6) Algebraically find the vertex and axis of symmetry of f(x). Report each answer as an ordered pair and equation, respectively, Vertex Axis of Symmetry: (C) Algebraically find the X- and y-intercepts of f(x). Report your answer(s) as an ordered pair(s). x-intercepts: y-intercept: (a) Using parts...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
7. Write g(x) in vertex form. Then sketch the graph of g(x) g(x) = 2x +...
7. Write g(x) in vertex form. Then sketch the graph of g(x) g(x) = 2x + 4x - 6. Show ALL work a) Write the equation in vertex form. b) Suate the vertex -- c) State the axis-of-symmetry. a) Find the intercepts. X-intercept(s): y-intercept(s); 8. Given h(x) = x(x + 2)*(x - 2)? (1) Determine the degree and end behavior. Degree As X- As x 0 (b) Find the x-intercepts, the multiplicity of each root, and state whether the graph...
1(a) . Let A denote the area enclosed by the graph f(x)= 10-x, the x- axis , and the lines x=3 an...
1(a) . Let A denote the area enclosed by the graph f(x)= 10-x, the x- axis , and the lines x=3 and x =5. Graphing the region and using plane geometry , find A. (b). Let A denote the area enclosed by the graph f(x)= (x-1)^2, the x - axis , and te lines x=2 and x=9. Graphing the region and using plane geometry , we can find that A=. (c). Suppose S4 is the lower sum of the area...
10. Let f(x) = 2x-2. Find F"(x). Then and F'(x) on the same axes. (3pts) graph...
10. Let f(x) = 2x-2. Find F"(x). Then and F'(x) on the same axes. (3pts) graph both f(x)
The graph of /(x, y) = 2x + y2 is shown below. f(x, y) = 2x+y...
The graph of /(x, y) = 2x + y2 is shown below. f(x, y) = 2x+y eql : 2 = 2 10 e92: y = 2 10 eq3 : x = 1 -10 The curve resulting from slicing the graph of f(x, y) with the plane 2 = 2 is Select) The curve resulting from slicing the graph of f(x,y) with the plane y = 2 is [Select) The curve resulting from slicing the graph of f(x, y) with the...
Q4: (6 Marks) Let Z2 = 5 + 7j . a) Find the modulus and the argument of Zz. b) Express 22 in polar form r cose + r sine i Q5. Let f(x) = 6x2 – 2x – 3, part of the graph of funtion shown below. (1+1+2 Marks) (a) Draw the graph of y = 2 on the same axis. (b) Use the graph to find: (i) The values of of x when 6x2 – 2x - 3...
Q3 (5 Marks) Find the values of x and y such that {(x + yi) =(-1 + 71)2 04: (6 Marks) Let Z2 = 5 + 7j a) Find the modulus and the argument of Zz. b) Express 2, in polar form r cose + r sino ; Q5. Let f(x) = 6x2 - 2x - 3, part of the graph of funtion shown below. (1+1+2 Marks) (a) Draw the graph of y = 2 on the same axis. (b)...
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
x2–2x-3 Let f(x) = Find the X-value(s) for which the graph of y = f(x) has a horizontal tangent line. x+2
answer all and show work please. clear hand writing
please
1. (6 points) Let f(x) = -x2 - 2x + 3. (a) Does the graph of f(x) open upward or downward? Justify your answer. 6) Algebraically find the vertex and axis of symmetry of f(x). Report each answer as an ordered pair and equation, respectively, Vertex Axis of Symmetry: (C) Algebraically find the X- and y-intercepts of f(x). Report your answer(s) as an ordered pair(s). x-intercepts: y-intercept: (a) Using parts...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
7. Write g(x) in vertex form. Then sketch the graph of g(x) g(x) = 2x + 4x - 6. Show ALL work a) Write the equation in vertex form. b) Suate the vertex -- c) State the axis-of-symmetry. a) Find the intercepts. X-intercept(s): y-intercept(s); 8. Given h(x) = x(x + 2)*(x - 2)? (1) Determine the degree and end behavior. Degree As X- As x 0 (b) Find the x-intercepts, the multiplicity of each root, and state whether the graph...
10. Let f(x) = 2x-2. Find F"(x). Then and F'(x) on the same axes. (3pts) graph both f(x)
The graph of /(x, y) = 2x + y2 is shown below. f(x, y) = 2x+y eql : 2 = 2 10 e92: y = 2 10 eq3 : x = 1 -10 The curve resulting from slicing the graph of f(x, y) with the plane 2 = 2 is Select) The curve resulting from slicing the graph of f(x,y) with the plane y = 2 is [Select) The curve resulting from slicing the graph of f(x, y) with the...
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