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Find the equation of the plane 2 Find the equation of the plane containing the point...
(1 point) Find the inverse Laplace transform of 2s + 9 $2 + 23 S> 0 y(t) =
(1 point) The set >-{[12][13) 45 is a basis for R2. Find the coordinates of the vector i [13] relative to the basis B. []B =
Find the rectangular coordinates for the point whose polar coordinates are given. 8 TT 6 (x, y) = ) =( Convert the rectangular coordinates to polar coordinates with r> 0 and 0 se<2n. (-2, 2) (r, 0) Convert the rectangular coordinates to polar coordinates with r> 0 and O So<211. (V18, V18) (r, ) = Find the rectangular coordinates for the point whose polar coordinates are given. (417, - ) (x, y) =
The equation of the plane which is normal to the vector m=< -5, 11,8 > and contains the point P(4, 2, -1) is: a. 5x-1 ly-8z=6 b. -5x+11y+87=5 C. 4x+2y-z=-6 d. None of the above. The exact value of the position vector - [] that is formed when the initial position vector 01 = 4] is first rotated 45° in an anti-clockwise direction and then stretched by a factor of 3 is: a. Sale Sale b. = C. 61 =...
73. ♡ Use implicit differentiation to find an equation of the tangent line to the graph at the given point. x + y - 1 = In(x14 + y4), (1, 0) Find the particular solution that satisfies the differential equation and the initial equations. f" 1) = 5, f(1) = 9, x > 0 y =
An object is moving around the plane with velocity given by y(t) = (3,2t) for timet > 0. a) If the object crosses the origin (0,0) at timet = 2 give the vector valued function representing the object's position in the form ř(t) = ((t), y(t)). b) Give the vector valued function a(t) that represents the object's acceleration.
Find the length of spiral curve T() = ----- 0 < > < 2”
Classify each equation as linear or nonlinear dy/dx = y^3 - 9 linear y" = 3y' - 6 nonlinear > 3y y' = 6-4 linear > 4x^2 y" - 3x y' + 4y = 2x - 4 linear
Part C Only Let Σ = {a,b}. For each of the following languages, find a grammar that generates it. (a) Li {a"6" : n > 0,m< n}. (b) L2 = {ang 2n: n > 2). (c) L3 {an+35" : n > 2}.
(1 point) Find a vector equation for the tangent line to the curve r(t) = (2/) 7+ (31-8)+ (21) k at t = 9. !!! with -o0 <1 < 0