Refer to the graph of y=f(x)=x2 + x shown. Answer parts A-D as an integer or simplified fraction.
Refer to the graph of y=f(x)=x2 + x shown. Answer parts A-D as an integer or...
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.)...
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...
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...
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...
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...
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. f(x) = x – 6; g(x) = 6x? What is the domain of -? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is {x|}. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain is {x| x is any...
The tangent line to the graph of f(x) at x 1 is shown. On the tangent line, P is the point of tangency and A is another point on the line. A y f(x) X -2 2 3 -2 -3 (a) Find the coordinates of the points P and A P(x, y) A(x, y) (b) Use the coordinates of P and A to find the slope of the tangent line (c) Find f'(1) (d) Find the instantaneous rate of change...
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...
12-12 D (f[9(x)]) at x = 3 is (Type an integer or a simplified fraction.) Consider the following table of values of the functions fand g and their derivatives at various points. a. Find D. (f(g(x)]) at x = 3. b. Find D (g[f(x)]) at x = 2. X 1 2 3 4 f(x) 3 1 f'(x) 1 -6 g(x) 2 3 1 4 g'(x) 3/8 1/ 8 7 /8 5/8 D. ([f(x)]) at x = 2 is (Type an...
For the data given below, answer parts (a) through (f). х y -21 101 - 18 121 - 16 119 - 15 131 - 11 141 (a) Draw a scatter plot. Choose the correct graph below. ОА. Q 150- OB O c. OD @ Q 150- 150- 150- -30 -30 0 -30 (b) Find the equation of the line containing the first and the last data points. (Type an equation. Type your answer in slope-intercept form. Use integers or fractions...