WebJun 18, 2024 · 1 To go beyond just the the vertical consideration of the wave, A, B, C, and D of the general formula y = A cos ( B x + C) + D are as follows: Your formula is y = 8 cos ( 12 x − 360) + 10 A = amplitude........in your case 8 which is the wave height above and below the horizontal center axis. B = period = 360 B ..........in your case 360 12 = 30. WebIn an ellipse with major axis 2a and minor axis 2b, the vertices on the major axis have the smallest radius of curvature of any points, R = b 2 / a; and the vertices on the minor axis have the largest radius of curvature of any …
What is axis of the curve? - Mathematics Stack Exchange
WebJan 23, 2024 · Find the equation of the tangent line to the curve defined by the equations x(t) = t2 − 3, y(t) = 2t − 1, for − 3 ≤ t ≤ 4 when t = 2. Solution First find the slope of the tangent line using Equation 10.2.3, which … WebJan 23, 2024 · Calculate the derivative dy dx for each of the following parametrically defined plane curves, and locate any critical points on their respective graphs. x(t) = t2 − 3, y(t) = 2t − 1, for − 3 ≤ t ≤ 4 x(t) = 2t + 1, … the hook outlet capitola ca
Finding Equation of Tangent parallel to x & y axis
WebNov 10, 2024 · Then, the surface area of the surface of revolution formed by revolving the graph of f(x) around the x-axis is given by Surface Area = ∫b a(2πf(x)√1 + (f′ (x))2)dx Similarly, let g(y) be a nonnegative smooth … WebA curve has equation 4 x 2 + 8 x + 9 y 2 − 36 y + 4 = 0. (i) Find d y d x. (ii) Write down the equation (s) of the tangent (s) to the curve that are parallel to (a) the x -axis (b) the y -axis. Answers (i) 4 x + 4 18 − 9 y (ii) (a) y = 0 or y = 4 (b) x = 2 or x = − 4. I got (i) d y d x. But how do I find equation of tangent parallel to x axis? WebJun 18, 2014 · There is a standard formula for area of a surface of revolution obtained by rotating y = f ( x) about the x -axis, from x = a to x = b. It says that area is ∫ a b 2 π f ( x) d s, where d s = 1 + ( f ′ ( x)) 2 d x. In our case, f ( x) = x 2 + 1 … the hook outlet dispensary