10. Let f(x) = 2x-2. Find F"(x). Then and F'(x) on the same axes. (3pts) graph...
4. Graph f(x) = 2x and an= 2n on separate axes. Are the graphs the same? If differences. (3,sts) not, explain any
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...
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 (0) The values of of x when 6x2 - 2x - 3 = 2 Find the cordinate of the vertex (1) Find the equation of the axis of symetry.
17, Graph x) = 7x-3 and its inverse on the same set of axes 18. 18. Graph g(x)=-3x + 4 and its inverse on the same set of axes. 4 and its inverse on the same set of 19. Graph f(x) 2x+1 axes. 20. Graph g(x) -2 and its inverse on the same set of аxes.
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
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...
Find the least squares regression line for the data points. (Let x be the independent variable and y be the dependent variable.) Graph the points and the line on the same set of axes 3 -3 3 -3
Find the least squares regression line for the data points. (Let x be the independent variable and y be the dependent variable.) Graph the points and the line on the same set of axes 3 -3 3 -3
(1 point) Let f(x) = (2x – 10)*(x² – 3)". 10)*(z? – 3)'. Find f'(x). f'(x) = |
Jo (2-x) dx 12. (3pts) Let f(t) be a continuous function. Find the derivative of y = f(x).Sh(t) dt. 12
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...