2. Find the equation of the tangent line to f(x)=- V13 - 3x at the point...
3. Find the equation of the tangent line to the graph of f(x) = 3x" – 38x that is perpendicular to the line x - 2y = 6. Express slope and coordinates using exact (radical) form or if using decimal fractions round to at least 3 decimal places. You may leave your equation in point-slope form to save time. (4 points)
Find the equation of the line tangent to the graph of f(x)=−2cos(x) at x=π4 Give your answer in point-slope form y−y0=m(x−x0). You should leave your answer in terms of exact values, not decimal approximations.
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...
Find an equation of the line tangent to the curve at the point corresponding to the given value of t. 71 x= cost+t sint, y=sint-tcost;t=4 (Type an equation. Simplify your answer. Type your answer in slope-intercept form. Type an exact answer. Use integers or fractions for any numbers in the equation.)
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...
Find the equation of the line tangent to the graph of f(x) = (in x) at x 4. y- (Type your answer in slope intercopt form. Do not round until the final answer. Then round to two decimal places as needed.)
(1 point) Suppose that f(x) = (3x + 5). (A) Find an equation for the tangent line to the graph off at x = 2. Tangent line: y = (B) Find the values of a where the tangent line is horizontal. If there are no such values, enter - 1000. Values of x =
Find the equation of the line tangent to the graph of f(x) (In x) atx = 5 (Type your answer in slope-intercept form. Do not round until the final answer. Then round to two decimal places as needed.)
Find an equation for the tangent line to y = f(x) at the specified point. 11) f(x) = -3xe**; where x = 0 A) y = -3x B) y = -3ex C) y = -3x + e D) y - x
Find the equation of the tangent line to h(x) = 2 x2 + 3x + 3 at the point (-2,5). y