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CALCULUS EARLY TRANSCENDENTALS W/ WILE
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Calculus, Single Variable: Early Transcendentals (3rd Edition)
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Calculus: Single And Multivariable
- Find (u+v).(2u-v) given that u.u=4, u.v=-5 and v.v=10Determine if u and v are orthogonal u=(cosθ,sinθ,-1); v=(sinθ,-cosθ,0)arrow_forwardFind a parametric representation of the solution set of the linear equation x+y+z=1 Ox=1-2t, y=t, z = t Ox=1-s-t, y = s, z = t Ox=1-2s, y = s, z = 8 Ox=1+s+t, y=s, z=tarrow_forwardhelparrow_forward
- Find u · v, u · u,II u^2 II, (u · v)v, and u · (2v). u = 7i + j − 4k, v = i − 9j + 8karrow_forwarddo yourself don't copy correct answer pleasearrow_forwardExpress the given parametric equations of a line using bracket notation and also using i, j, k notation. (a) x = 6t, y = - 4 + 3t O (x, y) = (0, - 4) + t (6,3) ai + bj = −4j + t (6i + 3j) O(x, y) = (0, 4) + t (6, 3) ai + bj = 4j + t (6i + 3j) ○ (x, y) = (0, 6) + t ( − 4, 3) ai + bj - 4j + t (6i + 3j) - (x, y) = (-4, 0) + t (3, 6) ai + bj = − 4i + t (3i + 6j) (x, y) = (6, 3) + t(0, − 4) ai + bj = (6i + 3j) + t ( − 4j)arrow_forward
- Determine f. (0, 7, 1), fy(0, r, 1), fz(0, T, 1) given the function z sin(3xz+ y?) Unload Chaarrow_forwardPlease no written by hand solution Suppose we observe (Xi, Yi) ∼ f (x, y) independently for i = 1, ..., n. Let ̄X = ∑n i=1 Xi/n, and ̄Y = ∑n i=1 Yi/n. Let ̃Xi = Xi − ̄X, and ̃Yi = Yi − ̄Y . Let X be the vector formed by ( ̃Xi, i = 1, ..., n), and Y be the vector formed by ( ̃Yi, i = 1, ..., n). For the following scatterplots of (Xi, Yi), i = 1, ..., n, where each (Xi, Yi) is a point, (1) Write down the possible value of correlation for each scatterplot. You do not need to be precise. (2) Plot the vectors of X and Y for each scatterplot. (3) Plot the regression line ̃Y = β ̃X on each scatterplot. Let ei = ̃Yi − β ̃Xi, and let e be the vector formed by (ei, i = 1, ..., n). Suppose β is obtained by minimizing |e|2 = ∑n i=1 e2 i (the so-called least squares estimation, which geometrically amounts to a projection of Y on X). Plot βX and e for each vector plot in (2).arrow_forwardExpress the given parametric equations of a line using bracket notation and also using i, j, k notation. (a) x = 61, y = −4+7t O(x, y) = (0, 6) + 1 ( − 4, 7) ai + bj = -4j+ 1 (6i + 7j) O(x, y) = (6, 7) + 1(0, − 4) ai + bj = (6i + 7j) + ¹(-4j) O(x, y) = (-4,0) +1 (7,6) ai + bj = -4i +1 (7i + 6j) O(x, y) = (0, 4) + 1 (6, 7) ai + bj = 4j+1 (6i + 7j) O (x, y) = (0, - 4)+1(6, 7) ai + bj = -4j+1 (6i + 7j)arrow_forward
- Convert ∫50∫25−y2√0∫50−x2−y2√x2+y2√(x2+y2+z2)dzdxdy∫05∫025−y2∫x2+y250−x2−y2(x2+y2+z2)dzdxdy into spherical coordinates.arrow_forwardFind u · (v x w). u = (4, 4, 4) (4, 6, 0) (0, 0, 9) V = W =arrow_forwardƏw Find at the point (w, x, y, z) = (1,-1,1, -1) if w = x²y² + yz-z³ and x² + y² + z² = 3. ду Z Əw ду X (Simplify your answer.) Əw dy X andarrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage