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For the function g(x)= 10x² + 9x Express the slope of the secant line in terms...
Find the indicated quantities for f(x) = 5x². (A) The slope of the secant line through...
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 the secant lines over the specified intervals for the function f(x) =...
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
1. Let f(x) = 11 – 2x2 (a) Compute the slope of the secant line msec...
1. Let f(x) = 11 – 2x2 (a) Compute the slope of the secant line msec = f(x + h) – f(x) h (b) Find the derivative f'(x) = lim f(x + h) – f(x) h h-
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 -...
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...
Find an equation of the tangent line to the graph of the function at the given...
Find an equation of the tangent line to the graph of the function at the given point. 1 s(x) = x² - 2x + 16' (2, 1) y = Use a graphing utility to graph the function and the tangent line in the same viewing window. y y 1.0 1.04 0.5 0.5 10 5 10 -0.51 -0.5
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 th...
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...
Let f(x) = 2 + 5x2 – 2x3. (a) Find the slope m of the tangent...
Let f(x) = 2 + 5x2 – 2x3. (a) Find the slope m of the tangent line to the graph off at the point where x = a. ma (b) Find an equation of the tangent line to the graph off at the point (1, 5). y(x) = (c) Find an equation of the tangent line to the graph off at the point (2,6). y(x) = (d) Use technology to graph fand the two tangent lines in the same viewing...
Refer to the graph of y=f(x)=x2 + x shown. Answer parts A-D as an integer or...
Refer to the graph of y=f(x)=x2 + x shown. Answer
parts A-D as an integer or simplified fraction.
a) Find the slope of the secant line joining (2, f(2)) and (4, f(4)). b) Find the slope of the secant line joining (2, f(2)) and (2+h, f(2 + h)). c) Find the slope of the graph at (2, f(2)). d) Find the equation of the tangent line to the graph at (2, f(2)). 18- 16- 14 12 10- 8- 6- 49...
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...
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...
please answer all the following parts neatly. thank you Let's consider the problem that has given rise t...
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...
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 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
1. Let f(x) = 11 – 2x2 (a) Compute the slope of the secant line msec = f(x + h) – f(x) h (b) Find the derivative f'(x) = lim f(x + h) – f(x) h h-
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...
Find an equation of the tangent line to the graph of the function at the given point. 1 s(x) = x² - 2x + 16' (2, 1) y = Use a graphing utility to graph the function and the tangent line in the same viewing window. y y 1.0 1.04 0.5 0.5 10 5 10 -0.51 -0.5
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...
Let f(x) = 2 + 5x2 – 2x3. (a) Find the slope m of the tangent line to the graph off at the point where x = a. ma (b) Find an equation of the tangent line to the graph off at the point (1, 5). y(x) = (c) Find an equation of the tangent line to the graph off at the point (2,6). y(x) = (d) Use technology to graph fand the two tangent lines in the same viewing...
Refer to the graph of y=f(x)=x2 + x shown. Answer
parts A-D as an integer or simplified fraction.
a) Find the slope of the secant line joining (2, f(2)) and (4, f(4)). b) Find the slope of the secant line joining (2, f(2)) and (2+h, f(2 + h)). c) Find the slope of the graph at (2, f(2)). d) Find the equation of the tangent line to the graph at (2, f(2)). 18- 16- 14 12 10- 8- 6- 49...
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...
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...
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