Find the slope of the tangent line to the Lissajous curve cos(t), y = sin(4t) at t = 1/6. Eliminate the parameter to find the Cartesian equation of the curve x = 41-t, y = (1+t, -1st s 1. Identify what type of curve this is. You do not have to sketch the curve.
Show work please! The curve (x,y) = (t3 – 4t, 2t) is graphed at right. 1. (12 pts) Find the area inside the loop of the curve. Ő 2. (4 pts) Write an expression for the length of the curve in the first quadrant. (Do not evaluate.) 3. (8 pts) Find the (x,y) point in the first quadrant where the curve has a vertical tangent line.
2 The slope of the tangent line to the curve y = at the point (8, is: 1 32 The equation of this tangent line can be written in the form y = mx + b where: m is: bis:
please Show clear work and step-by-step instructionsFind the slope and equation of line tangent to the curve y = (2x-16)/√x at x = 4.
Find the slope of a line tangent to the curve of the given equation at the given point. Sketch the curve and the tangent line. y=x? -5; (4,11) The slope is (Simplify your answer.) Enter your answer in the answer box and then click Check Answer. 1 part remaining Clear All
The slope of the tangent line to a curve is given by f'(x) = 4x + 3x - 2. If the point (0,8) is on the curve, find an equation of the curve.
(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...
3 TT Find the slope of the tangent line to polar curve r = 7 – 6 sin 0 at the point ( 7 – 6- 2 2 3 TT TT Find the points (x, y) at which the polar curve r = 1 + sin(e), 0 < has a vertical 4 4. and horizontal tangent line. Vertical Tangent Line: Horizontal Tangent Line:
Use implicit differentiation to find the slope of the tangent line to the curve 5x^3 y^2 - 4x^2 y = 1at the point (1,1) m=
8) Find the points (x,y) on the curve given by x = 1+t2 and y=t-t3 where the tangent line is horizontal. Graph the curve and locate these points. Provide scales on both axes. Suggestion: On Desmos, let-2 st s 2 to see the full curve and to estimate where these points are. Points