Workout Problem Part a: 1. Find the domain of the vector function r(t) =< ln(t + 2), 1 - 1² 21 √₁²-4 2. Compute the limit lim r(t), 1-0 r(t) =< te-21, I, cos 2t> for
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- Find the domain of the vector function. lim t->infinity <1+ t2/1- t2, tan-1(t), 1- e-2t/t>find the linearization L(x, y) of the function ateach point. ƒ(x, y) = e2y-x at a. (0, 0), b. (1, 2)Suppose that z is an implicit function of x and y in a neighborhood of the point P = (1, 1, 0) of the surface S of the equation: xy + yz + zx = 1 An equation for the line tangent to the surface S at the point P, in the direction of the vector w = (1, −2), corresponds to: The answers are in the attached image.
- Find the linearization L(x,y) of the function at that point. f(x,y) = x3y4 (1,1)find the linearization L(x, y) of the function ateach point. ƒ(x, y) = (x + y + 2)2 at a. (0, 0), b. (1, 2)1. Chapter 15 Review 13: Sketch the domain D (in the xy-plane) and calculate sDf(x,y)dA.D = {0 ≤y ≤1, 0.5y2 ≤x ≤y2}, f(x,y) = ye1+x
- 6) Consider the vector function ?(?) = 〈sin(??) , ln(−? + 3) , 1 ? 〉 a. Evaluate Lim ?→3− ?(?) b. Find ? ′ (?) c. Evaluate ∫ ?(?) ?�Please solve (c) by finding a vector valued function f(t)=(x(t),y(t)) that has the image set in the questionChapter 14 Review 53: Find the global extrema of f(x,y) = 2xy−x−y on the domain {y ≤4,y ≥x2}