1. The point P(4. 8) lies on the curve y-(6-x), Suppose Q is the point (x,1 + (6-x)'). a. Find th...
y 1/(1-x) 5. The point P(2,-1) lies on the curve C If Q is the point (x,1/(1-x), use your calculator to find the slope of the secant line PQ a. (correct to six decimal places) for the following values of x: 1.5 (ii) 1.9 (i) 1.99 (iv) 1.999 (v) 2.5 (vi) 2.1 (vii) 2.01 (vii) 2.001 Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(2,-1) i. b. Using...
2.1.13 (a) Find the slope of the curve y=x°-11x at the given point P(1. - 10) by finding the limiting value of the slope of the secants through P. (b) Find an equation of the tangent line to the curve at P(1. - 10). (a) The slope of the curve at P(1. - 10) is
| Previous Anawers SCalcET8 2.1.003. Ask Your Teacher 1 6/10 polnts My Notes The point P(8, -2) lies on the curve y 2/(7 - x) find the slope m of the secant line PQ (correct to six decimal places) for the following values of x (a) If Q is the point x, 2/(7 - x)), use your calculator (i) 7.9 mpo2.222223 (i) 7.99 mp2.0202 (ill) 7.999 2.002002 (Iv) 7.9999 2.00020007 (v) 8.1 1.81819 mpo 8.01 1.9802 (vII) 8.001 1.998002 mpo...
Find the slope of the secant line PQ for the following values of x. (Answers here should be correct to at least 6 places after the decimal point.)
(a) Find the slope of the curve y = x - 8x at the given point P(2. - 8) by finding the limiting value of the slope of the secants through P. (b) Find an equation of the tangent line to the curve at P(2.-8). (a) The slope of the curve at P(2. - 8) is
Find the tangent line to the curve x-y = 6ey at the point (6,0). 6 (s 1+6e0 016e Find the tangent line to the curve x-y = 6ey at the point (6,0). 6 (s 1+6e0 016e
2:45 webassign.net ASSnts A LCal 0 Consider the function f(x) and the point P(4,2) on the graph f (a) Graph fand the secant lines passing through the point P(4, 2) and Q(x, fx)) for x-values of 1, 6, and 8 (b) Find the slope of each secant line. (Round your answers to three decimal places.) (line passing through Q(1, f(x)) (line passing through Q(6, fx)) (line passing through Q(8, f(x)) (c) Use the results of part (b) to estimate the...
Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using this definition: The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m=lim x rightarrow a f(x)-f(a)/x-a provided that this limit exists. m = using this equation: m=lim h rightarrow 0 f(a+h)-f(a)/h m= Find an equation of the tangent line in part (a). y...
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...
Exercises M-6 Name 6 8 10 12 14 16 Determine the slopes of lines A and B Draw in triangles and indicate where you are measuring ax and Ay. (Note that neither line as drawn passes through intersections of grid lines.) Try to read coordinates of points to the nearest tenth of a division by estimating the position of the points between grid lines. Slope of Line A = Slope of Line B- Exercises M-6 Name Finding velocity from a...