Find the slope and an equation of the tangent line to the graph of the function f at the specified point.
What is the definition of an externality?
a cost or benefit of market activity to an outside party
influence on market activity by an outside party
any cost associated with a market activity
any benefit associated with a market activity
F(x) = -9/2 x^2 + 4x + 4
Slope = df(x)/dx = f’(x) = -9x + 4
At (-1,-9/2), slope = f’(-1) = -9(-1)+4 = 13
Let the equation of the tangent be y = 13x+c
Now, at (-1,-9/2), c = -9/2 – 13 (-1) = 13 – 9/2 = 17/2
Equation of tangent: y = 13x + 17/2
Externality is the cost or benefit inflicted on a bystander who is not a part of the economic transaction that generates the cost or benefits. Thus, option a) is correct, that is, it is a cost or benefit of market activity to an outside party.
Find the slope and an equation of the tangent line to the graph of the function f at the specified point.
Differentiate the function using the definition and find the slope of the tangent line at the given value of the independent variable 1) g(x) Find an equation of the tangent line and the normal line at the indicated point on the graph of the function. Use the definition of the derivative find the slope. 2) w = g(2) = 1/4 -2, (7,W) =(3,1) Find the first and second second derivative. 3) w=2-4-
1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. Function Line f(x) = 2x2 2x − y + 2 = 0 y = 2.Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. f(x) = 2(2 − x)2, (6, 32) f '(6) =
Find the slope of the tangent line to the graph of the function at the given point.g(x) = 17 − x^2; (3, 8)
Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r = 6sin(θ) θ = π/3 Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r = 4 - sin(θ) θ = π/4 Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r = 9/θ...
Find the equation of the tangent line to the graph of the function f (x) = sin (777) at the point (-2,0).
please help Find the function f given that the slope of the tangent line to the graph off at any point (x, f(x)) is f(x appropriate.) f'(x) = et + 7x; (0,9) f(x) = et + x +8 Submit Answer View Previous Question Question Home My Assignments Math problem 15.jpg Math Problem 14.jpg Type here to search o e a Find the function folven that the slope of the tangent line to the graph of Fat My point (x,x) is...
Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y = Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y =
Find the slope of the line tangent to f(x) at x = 3. The graph of f(x) is shown below. Move the point on the curve to x = 3. Then plot two points on the tangent line. Finally, calculate the slope of the tangent line at x = 3. Answer 2 Points Keypad Points can be moved by dragging or using the arrow keys. Any lines or curves will be drawn once all required points are plotted and will...
f(a+h)-f(a) a. Use the definition mun lim to find the slope of the line tangent to the graph off at P. h-+0 h b. Determine an equation of the tangent line at P. f(x)-3x+7, P(2.1) a. man b.y=0 19
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...