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ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y...
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...
13) Find an equation of the tangent line to the curve y=sin(5x)+cos(8x) at the point (π/6,y(π/6)). what is the tangent l...
13) Find an equation of the tangent line to the curve y=sin(5x)+cos(8x) at the point (π/6,y(π/6)). what is the tangent line: 14) f(x)=4x^2cos(4x) what is the first and second derivatives and solve both for F(5) NOTE There should be four answers! 16) Suppose that f(x)=3x/(4−5x^)3 find an equation for the tangent line to the graph of f at x=2. the tangent line: y=
1. Find the slope for each of the functions below: (a) y = f(x) = 52...
1. Find the slope for each of the functions below: (a) y = f(x) = 52 (b) y = f(x) = 1 3 x 3 + x 2 + 4x − 10 (c) y = f(x) = 1 3 x 3 + x 2 + 4x + 400 (d) y = f(x) = x 1 2 (e) = f(x) = 4x 1 2 + x 2 − .1x 3 − 5 (f) = f(x) = 4x + 6 (g) y...
1a. Find the equation y-f(x)-f'(x.)*(x-%) of a tangent line to the graph of a polynomial function...
1a. Find the equation y-f(x)-f'(x.)*(x-%) of a tangent line to the graph of a polynomial function f(x) -2xN4-x+3 3x^*2 at the point x, -1. (See the files Derivatives.doc and Derivatives of a power function.doc) N-16 1 b. Find the equation y-f(xi)-f'(x.)*(x-%) tangent line to the graph of a function of a f(x)-4x atx, 2. (Use the chain rule of differentiation for finding f'(x,).)
5. Suppose that the line tangent to the graph of y = f(x) at x =...
5. Suppose that the line tangent to the graph of y = f(x) at x = 3 passes through the points (-2,3) and (4, -1). What is the equation of the line tangent to f(x) at x = 3? (1) y=x+ (3) y = -x +5 (1) y= {x +3 (2) y 6. Let f(x) = 7 sin(x + 7) + cos2x. Compute f(13)(O). (1) 8 (2) 7 (3) -8 (1) -7 ----- 7. Differentiate f(x) - 1.6+3 Vã+1 (1)...
graph please 47. x + y = -3 Find - and y-intercepts In the following exerases...
graph please
47. x + y = -3 Find - and y-intercepts In the following exerases o g bercise find me and indoor an gran b --2-102 In the following exercises, find the intercepts for each equation 38. x - y = -4 37. x-yas 39. 3x + y = 6 40. x - 2y = 8 41. 4x - y = 8 42.5x - y = 5 43. 2x + 5y = 10 44 3x - 2y = 12...
Write the quadratic function in the form f(x)=a(x-h)^2+k; Find the vertex and graph the function (a) f(x)=x^2-6x (b) f(x)=-x^2+4x+1 (c) f(x)=3x^2-10x+2
Write the quadratic function in the form f(x)=a(x-h)^2+k; Find the vertex and graph the function (a) f(x)=x^2-6x (b) f(x)=-x^2+4x+1 (c) f(x)=3x^2-10x+2
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
X-2 3 of 9 5.(12 pts) let f(x) = ******. Graph the function and use it...
X-2 3 of 9 5.(12 pts) let f(x) = ******. Graph the function and use it to find lim f(x) and lim f(x). Does lim f(x) exist? Find domain and range of f(x). 2 that are to the line - 4x + y = 5.
33. Let S(x)=x?>(5 - 7x). Find the interval over which f(x) is increasing. 34. Let (x)=x*(8-3x)....
33. Let S(x)=x?>(5 - 7x). Find the interval over which f(x) is increasing. 34. Let (x)=x*(8-3x). Find the interval over which f(x) is decreasing. 35. Let S(x)=x*-4x' +4x?. Find the intervals of increase and decrease. 36. The function f(x) = x* - 10x has a relative minimum at x = 37. The function f(x)=x*- 2x® has a relative maximum at x = 38. When a circular plate of metal is heated in an oven, its radius increases at the rate...
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...
1a. Find the equation y-f(x)-f'(x.)*(x-%) of a tangent line to the graph of a polynomial function f(x) -2xN4-x+3 3x^*2 at the point x, -1. (See the files Derivatives.doc and Derivatives of a power function.doc) N-16 1 b. Find the equation y-f(xi)-f'(x.)*(x-%) tangent line to the graph of a function of a f(x)-4x atx, 2. (Use the chain rule of differentiation for finding f'(x,).)
5. Suppose that the line tangent to the graph of y = f(x) at x = 3 passes through the points (-2,3) and (4, -1). What is the equation of the line tangent to f(x) at x = 3? (1) y=x+ (3) y = -x +5 (1) y= {x +3 (2) y 6. Let f(x) = 7 sin(x + 7) + cos2x. Compute f(13)(O). (1) 8 (2) 7 (3) -8 (1) -7 ----- 7. Differentiate f(x) - 1.6+3 Vã+1 (1)...
graph please
47. x + y = -3 Find - and y-intercepts In the following exerases o g bercise find me and indoor an gran b --2-102 In the following exercises, find the intercepts for each equation 38. x - y = -4 37. x-yas 39. 3x + y = 6 40. x - 2y = 8 41. 4x - y = 8 42.5x - y = 5 43. 2x + 5y = 10 44 3x - 2y = 12...
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
X-2 3 of 9 5.(12 pts) let f(x) = ******. Graph the function and use it to find lim f(x) and lim f(x). Does lim f(x) exist? Find domain and range of f(x). 2 that are to the line - 4x + y = 5.
33. Let S(x)=x?>(5 - 7x). Find the interval over which f(x) is increasing. 34. Let (x)=x*(8-3x). Find the interval over which f(x) is decreasing. 35. Let S(x)=x*-4x' +4x?. Find the intervals of increase and decrease. 36. The function f(x) = x* - 10x has a relative minimum at x = 37. The function f(x)=x*- 2x® has a relative maximum at x = 38. When a circular plate of metal is heated in an oven, its radius increases at the rate...
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