The point P(4 , 4 ) lies on the curve y = sqrt{ x } + 2. Let Q be the point (x, sqrt{ x }+ 2 ).
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...
can you answer two of the questions in the phot please. 1. The point P(4. 8) lies on the curve y-(6-x), Suppose Q is the point (x,1 + (6-x)'). a. Find the slope of the secant line PO for the following values of x. 3. 3.99 4. 3.999 6. 4.1 7. 4.01 8. 4.001 the curve at P b. Use your results from part a to make a guess of the slope of the line tangent to c. Use your...
| 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...
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...
1. For the function f(x) e1+3x and the point P given by x 5 answer the following questions: For the points Q given by the following values of x, compute the slope of the secant line through the points P and Q accurate to at least 8 decimal places. ii.51 l.501 iv. .5001 v. .50001 a. i. 1 vi. 0 vii. .49 vii. .499 ix. .4999 x. .49999 Use the information in part a to estimate the slope of 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...
1. Let P be any point on the line: 1:= (4,8, -1)+(2,0,–4),TER. Let Q be any point on the line: 12: .X-7_1-2_2+1 -6 Find the Cartesian equation of the plane formed by all the possible midpoints of the line segment PQ.
For the following function, make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at the indicated point. f(x) = 4 cos x at x = Complete the table below. (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.) Interval Slope of secant line
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...
SOLUTION We will be able to find an equation of the tangent line t soon as we know its slope m. The difficulty is that we know only one point, P, on t, whereas we need two points to compute the slope. Bu observe that we can compute an approximation to m by choosing a nearby point Q(x, 4x?) on the graph (as in the figure) and computin slope mpo of the secant line PQ. [A secant line, from the...