1. For the function f(x) e1+3x and the point P given by x 5 answer the...
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...
2:45 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 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...
| 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...
5. [-16 Points) DETAILS LARCALC11 1.1.007 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the function f(x) = Vx 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, f(x)) for x-values of 1, 5, and 8. 10 0 -10 O 90 -6 -10 333 236 (b) Find the slope of each secant line. (Round your answers to three decimal places.) (line passing through Q(1, (x))) (line passing...
Consider the following function. f(x) = -½x2 – 3x + 1 Find the slope and an equation of the tangent line to the graph of the function at the point (-2,5). Slope: m= Equation: y = (Enter equation in slope-intercept form, i.e.y = mx + b)
please answer all the following parts neatly. thank you Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of f)-sinx (5) . On graph paper, sketch the graph of -sinx and draw a tangent line...
(1 point) Suppose that f(x) = (3x + 5). (A) Find an equation for the tangent line to the graph off at x = 2. Tangent line: y = (B) Find the values of a where the tangent line is horizontal. If there are no such values, enter - 1000. Values of x =
The function f(x) = 1.1x-36x264x 552 below models the number of discharges from the military, f(x), of active-duty gay servicemembers under the "don't ask, don't tell" policy x years after 1994. Complete parts a and b a. Find the slope of the secant line from x1 0 to x2 = 4. 1400- The slope of the secant line is (Round to the nearest whole number as needed.) (4,f(4) 900- (0,f(0)) 400+ 10 Years after 1994 In 2000, 51% of the...
please answer the following parts. thank you in advance Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of-snx. (5) 1. On graph paper, sketch the graph of y-sin and draw a tangent line at...