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3.4.23 7 a. For f(x)= find an equation for the secant line through the points where...
7 a. For f(x)= 1 find an equation for the secant line through the points where x = 5 and x = 7 х 7 x b. For f(x) = find an equation for the line tangent to the curve when X=5. a. The equation for the secant line is y = b. The equation for the tangent line is y =
Find the indicated quantities for f(x) = 5x². (A) The slope of the secant line through the points (1,f(1)) and (1 + h,f(1 + h)), h#0 (B) The slope of the graph at (1,f(1)) (C) The equation of the tangent line at (1,f(1)) (A) The slope of the secant line through the points (1,f(1)) and (1 + h,f(1 + h)), h #0, is (B) The slope of the graph at (1,f(1)) is . (Type an integer or a simplified fraction.)...
Find the slope of a line tangent to the curve of the given equation at the given point. Sketch the curve and the tangent line. y=x? -5; (4,11) The slope is (Simplify your answer.) Enter your answer in the answer box and then click Check Answer. 1 part remaining Clear All
Find the equation of the tangent line at x = 7 for f(x) = 6 - x? Write the answer in the form y=mx+b. O A. y = - 2x OB. y = 14x -55 OC. y = - 14x +55 OD. y = 7x +55 Click to select your answer.
7. Find an equation of the tangent line to the graph of f(x) = x2 - 2x at (-2,8). Write your answer in the y = mx + b form. (12 points)
parta- Use linear approximation, i.e. the tangent line, to approximate as follows:Let f(x) = x 6. The equation of the tangent line to f(x) at x = 2 can be written in the form y = mx+b where is: and where is: Using this, we find our approximation for 1.86is Box 1: Enter your answer as a number (like 5, -3, 2.2) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box...
Find f'(x) and find the equation of the line tangent to the graph off at x = 1. f(x) = (2+4x)(5 - 4x) f'(x)=0 y= Find the x and y coordinates of all inflection points. f(x) = x3 + 18x? What is/are the inflection point(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The inflection point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.)...
Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y = Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y =
Find the slope of the secant lines over the specified intervals for the function f(x) = x2 + 2x. a) [2, 3] b) [2, 2.1] b) Estimate the slope of the tangent line at x = 2 d) Use your estimate to find the equation of the tangent line at x = 2
Consider the function x) = 6x + x2 and the point P(-2,-8) on the graph of f (a) Graph f and the secant lines passing through P(-2, -8) and Q(x, f(x)) for x-values of -3, -2.5, -1.5 -10 -8 68 10 -10 -8 2 46 810 -2 -8 8 10 8 10 -10-8 -10-8 -8 (b) Find the slope of each secant line (line passing through Q(-3, f(x))) (line passing through Q(-2.5, f(x))) (line passing through Q(-1.5, f(x))) (c) Use...