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Summer-B3: Problem 7 Previous Problem Problem List Next Problem (1 point) Estimate f (2.02, 3.01) given...
(1 point) Estimate f(-3.01,-1.97) given that f(-3,-2) = 5, fx(-3,-2) = -2 and fy(-3, -2) = 3. f(-3.01,-1.97) ~ (1 point) Find the linearization of the function z = x,y at the point (-5, 49). L(x, y) = (1 point) Find the equation of the tangent plane to z = ex + y + y4 + 6 at the point (0,3,91). z =
HW05 11.4-11.6: Problem 3 Previous Problem Problem List Next Problem (1 point) Find the differential of the function z = e sin(x). dz= HW05 11.4-11.6: Problem 4 Previous Problem Problem List Next Problem x2 + y2 + 36 at the point (2,3). (1 point) Find the differential of f(x,y) = df = Then use the differential to estimate f(2.1, 3.1). f(2.1, 3.1)
72 Partial Derivatives: Problem 16 Next Previous Problem List (1 point) Suppose the f(x, y) is a smooth function and that its partial derivatives have the values, f(0,-4) 5 and f,(0, -4) =-1. Given that f(0,-4) = 0, use this information to estimate the value of f(1,-3) Note this is analogous to finding the tangent line approximation to a function of one variable. In fancy terms, it is the first Taylor approximation. Estimate of (integer value) f(1,-3)
72 Partial Derivatives:...
Summer Assignment 6: Problem 13 Previous Problem List Next (1 point) -4748) Let A = 1 -4243 Find an invertible matrix P and a diagonal matrix D such that PDP-1 = A. 90 Preview My Answers Submit Answers You have attempted this problem 7 times.
Summer-HW1: Problem 18 Previous Problem List Next (1 point) Let f(x) = 2x + 3x2.Ith #0, then the difference quotient can be simplified as f(x +h)-f(x) = Ah + Bx + C. h where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A= 1.B = and C= Use the simplified expression to find f'(x) = lim f(x + h) - f(x) -0 h Finally, find each...
Assignment 7: Problem 7 Previous Problem List Next (1 point) Find a particular solution to y" +9y = –30 sin(3t). Assignment 7: Problem 8 Previous Problem List Next (1 point) Find the solution of y" – 6y' + 9y = 324 et with y(0) = 4 and y'(0) = 5. y= Assignment 7: Problem 9 Previous Problem List Next (1 point) Let y be the solution of the initial value problem y" + y = – sin(2x), y(0) = 0,...
Homework12: Problem 7 Previous Problem Problem List Next Problem (1 point) The radius of a circular disk is given as 26 cm with a maximal error in measurement of 0.3 cm. Use differentials to estimate the following. (a) The maximum error in the calculated area of the disk. (b) The relative maximum error. (C) The percentage error in that case. (a) (b) (C)
Previous Problem Problem List Next Problem (1 point) Use the linear approximation to f(x, y) = Vx2 + y at (4, 2) to estimate 4.12 + 1.9. Use decimal notation. Give your answer to three decimal places. V4.1? +1.9% ~ 4/sqrt3+(10*2ys help (fractions) Droni Aw OL
Permutation Groups: Problem 1 Previous Problem Problem List Next Problem (1 point) Let f and g be permutations on the set {1,2,3,4, 5, 6,7}, defined as follows 1 234 56 f = 2 3175 4 6 1 2 3456 7 3 6 5 2 1 7 Write each of the following permutations as a product of disjoint cycles, separated by commas (e.g. (1,2), (3, 4, 5), .- Do not include 1-cycles (e.g. (2)) in your answer. (a)fg = (b)f (c)fgf=...
Summer Assignment 4: Problem 1 Previous Problem List Next (1 point) Call an improper definite integral type 1 if it is improper because the interval of integration is infinite Call it type 2 if it is improper because the function takes on an infinite value within the interval of integration. Classify the type(s) for each of the following improper integrals. ? 1. - ** sec(a) de 2 ? v 2. so I dar 2 - 53 +6 0 ? v...