Consider the following function. fx) = 3x; x = -1 (a) Use any method to estimate the slope of the tangent to the graph of the given function at the point with the given x-coordinate. (Round your answer to three decimal places.) (b) Find an equation of the tangent line in part (a). HINT [See Example 2(b).] y 3= Sketch the curve together with the appropriate tangent line. y y 4 2 2 -4 -3 -2 -1 1 2 3 4 -4 -3 -2 1 2 4 -2 -4 6. 2 -4 -3 -2 4 -4 -3 -2 -1 1 2 3 4 -2

Q: Find the equation of the line that is perpendicular to (1/5)y + 5 x = 6 at the point (1,5). Express…

A:

Q: Determine the interval of convergence for the following series. 2 (X - 1)" 00 2-n 1- 2- n+1 'n%3D1

A:

Q: Find the equation of the tangent line to the graph of the given equation at the indicated point. +…

A: Given:- (x/y) +2x-4 = (-3/4) y  To find:- Equation of tangent line at point (1, 2)

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A:

Q: Find the slope of the line tangent to the curve y =x at the point (- 0.4, 0.16) and then find the…

A:

Q: Find the equation of the tangent line to the graph of the given equation at the indicated point.…

A: slope at (2,1) is dydx at (2,1) equation of the tangent line with slope and point x1,y1 is y-y1=…