(1 point) (1 point) Find dine and at the given point without eliminating the parameter. 1...
Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the parameter. x = 6 + In(t), y = +2 +6, (6, 7) — x
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = t4 + 3 y = t3 +t t = 1 y(x) = _______
Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) = (2 – 3t, 1 + 4t, 582 + 2x2), t = 4 T(4) = <5,4,720 > 720.02847 x
Find an equation of the tangent plane to the surface at the given point. x2 + 2z2ev - * = 22, P= (2, 3, te) Use the Chain Rule to calculate f(x, y) = x - 4xy, r(t) = (cos(5t), sin(3t)), t = 0 force) = +-/1 points RogaCalcET3 14.5.015. Use the Chain Rule to calculate f(x, y) = 5x - 3xy, r(t) = (t?, t2 - 5t), t = 5 merce) = + -/1 points RogaCalcET3 14.5.018. Use the...
1) Given X = 3t2, y = 2tº, eliminate the parameter to find a Cartesian equation.. 2) Given x = 5 sin t, y = 2 cost, find Žr.
1.) Given: x=5cost and y=2sint a. Sketch a graph of the parametric curve by eliminating the parameter and Label orientation. Show all work. b. Determine dy/dx and d^2y/d^2x Show work and simplify your answers. Express answers in terms of “t”
(1 point) For the curve given by r(t) = (2t, 5t, 1 – 5t), Find the derivative r'(t) =( > Find the second derivative p"(t) = ( 1 Find the curvature at t = 1 K(1) =
(1 point) A one parameter family (with parameter c) of solutions to the problem v=y-y² is y=1/(1+ce) (1) Find c so that y(-2) = 2 (2) Find c so that y(3) = -3
(1 point) Find the solution r(t) of the differential equation with the given initial condition: r' (t) = (sin 2t, sin 5t, 3t) , r(0) = (5,8,6) r(t) =(
Use the method of variation of parameters to find the general solution y(t) to the given differential equation y" + 25y = sec (5t) Oy(t) = ci cos(5t) + c2 sin(5t) tan(5t) + 25 sec(26) 25 y(t) = c cos(5t) + c sin(5t) 1 sec(56) + 50 1 25 tan(5t) sin(5t) VC) = so 1 sec(5t) + 50 1 tan(5t) sin(5t) 25 1 y(t) = ci cos(5t) + c) sin(5t) 2. sec(54) + tan(56) sin(56) 50 O y(t) = C1...