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2. Find the slope and concavity at the given value of the parameter. r = 12...
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 dx/dy and d2y/dt2 if possible, and find the slope and concavity (if possible) at the point corresponding to t=3 x=t+2 y=t^2+8t
a) Find the exact value of the slope of the line which is tangent to the curve given by the equation r = 2 + cos θ at . You must show your work. b) Set up, but do not evaluate, the integral that represents the length of the curve given by x = t - t2, , over the interval 1 ≤ t ≤ 2. D 4,3/2 y=7 D 4,3/2 y=7
Problem The random variable X is exponential with parameter 1. Given the value r of X, the random variable Y is exponential with parameter equal to r (and mean 1/r) Note: Some useful integrals, for λ > 0: ar (a) Find the joint PDF of X and Y (b) Find the marginal PDF of Y (c) Find the conditional PDF of X, given that Y 2. (d) Find the conditional expectation of X, given that Y 2 (e) Find the...
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)
1 a) Find the domain of r(t) = (2-Int ) and the value of r(to) for to = 1. b) Sketch (neatly) the line segment represented by the vector equation: r=2 i+tj; -1 <t<l. c) Show that the graph of r(t) = tsin(t) i + tcos(t) j + t?k, t> 0 lies on the paraboloid: z= x2 + y². 2. a) Find r'(t) where r(t) = eti - 2cos(31) j b) Find the parametric equation of the line tangent to...
For the curve r(t), find an equation for the indicated plane at the given value of t. 55) r(t) (3 sint+6i+ (3 cos 20t) - 1j+ 12tk; osculating plane at t 2.5m. 12 12 60 +1) + 13 B) y-1) + 169 =0 13 169 12 -6) +. 60 9131)+30) 0 =0 (206-2 56) rt) (t2-6)i+ (2t-3)j+9k; osculating plane at t A) x+y+ (z+9)-0 C) x+ y+(z-9) 0 6. B) z =9 D) z =-9 For the curve r(t), find...
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 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.
answer q5,6,7,8 please Find the unit tangent vector T(0) at the point with the gliven value of the parameter t. r(t)-cos(t)I + 8t1 + 3 sin(2t)k, t 0 T(o) Need Help? adHTer Find parametric equations for the tangent ine to the curve with the given parametric equations at the spedfled point. Evaluate the ietegral Need Help?h h SCakETS 13 200 Evaluate the integral. Find the unit tangent vector T(0) at the point with the gliven value of the parameter t....