1) Let f(x) and g(x) be f(x)-x2-x (x)- x + 2 Find (f/gXx) 2 +a 2)...
Find the x-intercept and the y-intercept of each equation. 33. - 3x + 2 y = 12 34 34. 2x – 3y = 24 CHAP FUN Find the slope of the line through each pair of points. 36. (-8, 6) and (-8,-1) In ma relati types an ir 35. (-12, 3) and (-12, -7) 37. (6, -5) and (-12,-5) Find the slope of each line. 38. 3x – 2y = 3 40. x = 6 39. y = 5x +12...
Evaluate the following f(x)=x2-1 and g(x) = 3x +5. :a. f(-3) b. g(-2) c. f(0) d. g(5) 2. Find the x and y intercepts of the following functions: a) f(x) = x2 - 5x + 6 = 0b) h(x) = -2x + 20
Let f(x) = x2 + 1 and g(x) = 2x - 5. Find a. (f+g)(x) b. (f-g)(-1) c. (fog)(-2) d. (f.g)(x) . ()
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 slope of a line perpendicular to the line y=xUse the slope-intercept form of a linear equation to write the equation of each line with the given slope and y-intercept.slope -3; y-intercept (0, -1/5)write the equation of the line passing through the given points. write the equation in standard form Ax+By=C(8,-3) AND (4,-8)Write an equation of each line. Write the equation in the form x=a y=b or y =mx+bThrough (-2,-3): perpendicular to 3x+2y =5Find the equation of each line....
nd the given value 11) Let f(x) = x2 -5 g(x)=2x+8. (f-g)(5). and Find
Let g(x) =3x + 5 and f(x) = x2 + 2x – 7 . Find f(g(x)).
2) The value y of a copier x years after it was purchased can be modeled by the equation y = 4000-600x. Describe what the y-intercept and slope represent in this situation. Find the value of the copier after 5 years. 3) Find the x-intercept and y-intercept of the line with the given equation. Then graph the line. a) 2x + 3y = 6 b) -5x + 3y = 15
How to answer using MATLAB codes? 7. f(x) = Vx(x2 + 1), find f'(x) and f'"(x). Simplify your final answers. (10pts) 8. y' = sec? x + 3y tan x, solve the differential equation. (10pts) 9. Find the laplace transform of g(s) = 1/V5.(2pts)
Let f(x) = z² and g(x) = (1 - 5)² + 10. There is one line with positive slope that is tangent to both of the parabolas y = f(x) and y = g(x) simultaneously. ye9bx)/ y=f/ Find the equation of the line. y= On a separate piece of paper, sketch the graph of the parabola y = 2? + 6. On the same graph, plot the point(0, – 3). Note that there are two tangent lines of y =...