16. Find the number of tangents to the curve y=-* passing through P = (1, 2).
Find the equation of the tangents to the curve y = sin x at x = -1, 0, and Graph the curve over the interval together with their tangents. Label each curve and tangent What is the equation of the tangent (I) to the curve at x = -x? y= What is the equation of the tangent (II) to the curve at x = 0? y=0 What is the equation of the tangent (Ill) to the curve y= Choose the...
Please help!!!Find the equations of the tangents to the curve x = 922 + 9, y = 6+ + 3 that pass through the point (18,9). (smaller slope) y = ya (larger slope)
MTH 31 (2) Draw the graph of the curve y- (a) Using a calculator, find the slopes (m) of secants passing through P = (1,1) and the points given by the given values. 0.5 0.75 1.25 0.9 1.1 0.99 1.01 (b) Do you see a pattern to these various slopes? What number do these slopes tend to? (c) Draw these various secants in your graph above. What line do these secants tend to? (a) We have used the phrase "tend...
(a) Find the points on the polar curve r = 2(1 – cos(0)) where the tangents are horizontal. (b) Find the points on the polar curve r = 2(1 - cos(0)) where the tangents are vertical. (c) Find the length of the curve. FIGURE 3. r = 2(1 - cos(O)).
1. Find the equation of the curve passing through the point (1, 1) whose differential equation is (y - yx)dx + (x + xy)dy = 0 (10 marks)
(a) Find the slope m of the tangent to the curve y = 2 + 4x2 − 2x3 at the point where x = a. m = (b) Find equations of the tangent lines at the points (1, 4) and (2, 2). y(x) = (at the point (1, 4)) y(x) = (at the point (2, 2)) (c) Graph the curve and both tangents on a common screen. say and the sose m of the target to the survey * 2...
Please explain, thank you. Show that the curve x = 5 cos t, y = 2 sin tcos t has two tangents at (0, 0) and find their equations (smaller slope) (larger slope) Show that the curve x = 5 cos t, y = 2 sin tcos t has two tangents at (0, 0) and find their equations (smaller slope) (larger slope)
2. The number of cars passing through a road in 1 minute follows a Poisson Distribution with mean 5. (a) Find the probability that there are 2 cars passing through the road in one minute. (3 marks) (b) Find the probability that there are 4 cars passing through the road in two minutes. (3 marks) (c) Find the probability that there are 4 cars passing through the road in two minutes given that there are 2 cars passing through the...
1.) Define a nonlinear parametric curve in R, finite in length, and passing through the coordinate (2, y) = (-2,5). State the value of t where (x,y) = (-2,5), state the values of the parameter over which this curve is defined, and sketch the curve over these values of the parameter.
Find the Area Moment of Inertia about a y axis passing through the centroid (ly) of the composite shape below. Y 2-in.-diameter hole 16" 10" 5" X X 5" 5" Y T (c)