Find the points at which the graph of the equation has a vertical or horizontal tangent...
(1 point) The graph of the equation 2? + ry + y2 = 3 is an ellipse lying obliquely in the plane, as illustrated in the figure below. a. Computer aligne = (-2x+y)(x+2y) . . b. The ellipse has two horizontal tangents. Find an equation of the upper one. The upper horizontal tangent line is defined by the equation y= c. The ellipse has two vertical tangents. Find an equation of the rightmost one. The rightmost vertical tangent line is...
2. Use Definition to find the equation of the tangent line to the graph of the equation y- 1/2 at -2 3. Find the points on the graph of y2-/2 at which the tangent line is parallel to the line y - 3. 4. Sketch the graph of a continuous function f that satisfies all of the stated conditions. f(0) 2, f(-2)- (2)-0, f(-2) f(O)-f'(2)-0 f"(z) > o if-2<zco, f,(z) < 0 if <-2 or x > 0; 2. Use...
For the function, find the points on the graph at which the tangent line is horizontal y=x +5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) at which the tangent line is horizontal isare) (Type an ordered pair Use a comma to separate answers as needed.) OB. The tangent line is horizontal at all points of the graph. OC. There are no points on the graph where...
36. [-/2 Points) DETAILS LARCALC10 2.1.035. Find an equation of a line that is tangent to the graph off and parallel to the given line. Function Line 3x -y +9 - 0 x) = x Y (smaller y Intercept) y = (larger y-Intercept)
16. Find all points on the circle x2 + y2 = 676 where the slope is 5/12 (x, y) = _______ (smaller y-value) (x, y) = _______ (larger y-value) 13.Find an equation of the tangent line to the graph at the given point. x2y2 - 9x2 - 4y2 = 0, (-4, -2√3) y = _______ 12. Find the slope of the tangent line to the graph at the given point. (4 - x)y2 = x3, (2, 2)
Find all points on the graph of the function f(x) - 2 cos(x) + cos2(x) at which the tangent line is horizontal. (Use n as y (x, y) = (smaller y-value) (,Y) = (larger y-value)
For the polar equation r= 1-sinθ a) Sketch the graph for 0 ≤ t ≤ 2pi b) Find the points on the cardioid where the tangent line is horizontal c)Find the equation of the tangent line when theta=pi/3
(1 point) Find the equation of the line tangent to the graph off at the indicated x value. y = 10 sin-1 3x, x = 0 Tangent line: y =
2) Find the points on the given curve where the tangent line is horizontal or vertical r3 cos (0)
Find dy/dx. Find the points on the curve where the tangent is horizontal or vertical. x = t3 - 3t, y = t2 - 6