Consider the cubic function y2r3 13z2 -13 -10. (a) Find the local maximum and minumum for the curve (to two decimals), and sketch a graph for the cubic function for-13r<6. (b) Find the equation fo...
Find an equation of a line tangent at two places to the graph of the function y = 14 +523 – 7x2 – 29x +31. Graph this line and function on the same coordinate system.
[10] 9. Use a graphing calculator to sketch the graph (on this paper) of the parametric curve 24t, y2 - 4t. Estimate the coordinates of the point where the graph crosses itself. Confirm your estimate algebraically, then find the equations of the two tangent lines to the graph at that point. [10] 9. Use a graphing calculator to sketch the graph (on this paper) of the parametric curve 24t, y2 - 4t. Estimate the coordinates of the point where the...
8. Trace the graph of the function and sketch a graph of its derivative directly beneath b) a) c) Use any differentiation formulas to find equations of the tangent line and normal line to the curve y at the given point P a) y (2x -3)2 at P (1,1) b) y (2+x at P (0,2) 9. 10. The graph of f is shown. a) State, with reasons, the numbers at which f is not continuous. b) State, with reasons, the...
consider the curve described by the equation: 4x2 - 3xy + y2 = 14 at any given point on this curve, we have dy/dx = -8x + 3y / -3x + 2y your task is to find the points on the curve where the tangent line is parallel to the line y = x What is the y-coordinate of the leftmost point on the curve where the tangent line is parallel to the lone y=x
Find an equation of the tangent line to the graph of the function at the given point. 1 s(x) = x² - 2x + 16' (2, 1) y = Use a graphing utility to graph the function and the tangent line in the same viewing window. y y 1.0 1.04 0.5 0.5 10 5 10 -0.51 -0.5
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=
please draw graph as well consider the following. Rx) - Inxº, (-1,0) (a) Find an equation of the tangent line to the graph of the function at the indicated point. (Use x for the independent variable and y for the dependent variable.) (6) Use a graphing utility to graph the function and its tangent line at the point -3 -2 h Websign Plot
4. (10 points) Find an equation of the tangent line to the graph of the function at the given point. f(x) = arctan x, (-1,-) S 10 Bito Tuten of ladder lid
1+1 5. [10 marks) Find all values of k such that f(x) = -r2 + 2kr +1" has domain (-0,0). 6. [10 marks] Sketch the graph of y = -2 -2 log: (2-2) and find its domain, range, -intercept and y-intercept. Show your transformations step by step. 7. (12 marks] (a) [8 marks) Find the equation of the tangent line to the graph of the function f(x) = 3.0" - 6x2 - 7 at = 2 (b) (4 marks) Find...
Find the equation of the tangent line to the graph of the given function at the point where x=3. write your final answer in form Ax+By=C, where A,B, and C are integers. *** = (2)