Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 12.8, Problem 7PS
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Where,
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Chapter 12 Solutions
Calculus
Ch. 12.1 - Prob. 1PSCh. 12.1 - Prob. 2PSCh. 12.1 - Prob. 3PSCh. 12.1 - Prob. 4PSCh. 12.1 - Prob. 5PSCh. 12.1 - Prob. 6PSCh. 12.1 - Prob. 7PSCh. 12.1 - Prob. 8PSCh. 12.1 - Prob. 9PSCh. 12.1 - Prob. 10PS
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Prob. 59PSCh. 12.1 - Prob. 60PSCh. 12.2 - Prob. 1PSCh. 12.2 - Prob. 2PSCh. 12.2 - Prob. 3PSCh. 12.2 - Prob. 4PSCh. 12.2 - Prob. 5PSCh. 12.2 - Prob. 6PSCh. 12.2 - Prob. 7PSCh. 12.2 - Prob. 8PSCh. 12.2 - Prob. 9PSCh. 12.2 - Prob. 10PSCh. 12.2 - Prob. 11PSCh. 12.2 - Prob. 12PSCh. 12.2 - Prob. 13PSCh. 12.2 - Prob. 14PSCh. 12.2 - Prob. 15PSCh. 12.2 - Prob. 16PSCh. 12.2 - Prob. 17PSCh. 12.2 - Prob. 18PSCh. 12.2 - Prob. 19PSCh. 12.2 - Prob. 20PSCh. 12.2 - Prob. 21PSCh. 12.2 - Prob. 22PSCh. 12.2 - Prob. 23PSCh. 12.2 - Prob. 24PSCh. 12.2 - Prob. 25PSCh. 12.2 - Prob. 26PSCh. 12.2 - Prob. 27PSCh. 12.2 - Prob. 28PSCh. 12.2 - Prob. 29PSCh. 12.2 - Prob. 30PSCh. 12.2 - Prob. 31PSCh. 12.2 - Prob. 32PSCh. 12.2 - Prob. 33PSCh. 12.2 - Prob. 34PSCh. 12.2 - Prob. 35PSCh. 12.2 - Prob. 36PSCh. 12.2 - Prob. 37PSCh. 12.2 - Prob. 38PSCh. 12.2 - Prob. 39PSCh. 12.2 - Prob. 40PSCh. 12.2 - Prob. 41PSCh. 12.2 - Prob. 42PSCh. 12.2 - Prob. 43PSCh. 12.2 - Prob. 44PSCh. 12.2 - Prob. 45PSCh. 12.2 - Prob. 46PSCh. 12.2 - Prob. 47PSCh. 12.2 - 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- 8. Decide which of the following sets are linearly independent in R". Justify your answer in each case. (a) X₁ = = {(1,0), (0, 1)} ℃R² (b) X₂ = {(1,0), (2,0)} CR² (c) X3 = {(-1,0), (0,0)} ℃ R² (d) X4 = {(1,0), (0, 1), (1, 1)} C R² (e) X5 = {(1,0,0), (0, 1, 0), (1, 1, 1)} CR³ (f) X6 = {(1,0,0), (0, 1, 0), (1, 1, 1), (−1, 0, 1)} ℃ R³ (g) X7 = {(0,0,0), (0, 1, 0), (1, 1, 1), (–1, 0, 1)} ℃ R³ (h) X8 = {(0, 1,0), (1, 1, 1)} C R³ (i) X9 = {(4, 3, 0, 0), (0, 0, 1, 1), (0, 0, 0, 1), (1, 0, 0, 1), (0, 1, 0, 1)} ℃ R4 (j) X10 = {(1, 2, 0, 0), (0, 2, 3, 0), (0, 0, −1, 1)} ℃ Rª 9. Decide, for the sets X; above, for which i, j = {1, 2, ..., 10}, span(X₂) = span(X;).arrow_forwardIf (x, y)= x²y+e* , find; Q.4 (i) 2 b. Ø, c. Ø. d. w e. , f. $x (ii) What conclusion can be drawn from your answers on question 6 (e) and (f). (iii) Evaluate (1, 2)arrow_forward3. Evaluate Se(x² – iy²)dz along the straight lines from (1, 1) to (1, 8) and then from (1,8) to (2, 8).arrow_forward
- 4. If f(x,y,z) = 3x²y = xyz + y²z² find each of the following: f(x,y,z) b. f, (0,1,2) c. f (x, y, z)arrow_forward2. Find the solution of the following problem: Uu = Uga I> 0, t>0, u(x, 0) = a -, u,(x,0) z, 20, u(0, t) = 0, t2 0.arrow_forward8. Decide which of the following sets are linearly independent in R". Justify your answer in each case. (a) X₁ = {(1,0), (0, 1)} ℃ R² (b) X₂ = {(1,0), (2,0)} ℃ R² (c) X3 = {(-1,0), (0, 0)} CR² 2 (d) X₁ = {(1,0), (0, 1), (1, 1)} ℃ R² C (e) X5 = {(1,0,0), (0, 1, 0), (1, 1, 1)} ℃ R³ (f) X6 = {(1,0,0), (0, 1, 0), (1, 1, 1), (−1, 0, 1)} ℃ R³ (g) X7 = {(0, 0, 0), (0, 1, 0), (1, 1, 1), (−1, 0, 1)} ℃ R³ (h) Xs = {(0, 1, 0), (1, 1, 1)} ℃ R³ 8 (i) X9 = {(4,3,0,0), (0, 0, 1, 1), (0, 0, 0, 1), (1, 0, 0, 1), (0, 1, 0, 1)} ℃ R4 (j) X10 = {(1, 2, 0, 0), (0, 2, 3, 0), (0, 0, −1, 1)} ℃ Rªarrow_forward
- XU[-1,1] ve Y ~ U[0,2] iki bağımsız tekdüze (uniform) rasgele değişken ise W = X + Y rasgele değişkeninin olasılık yoğunluk fonksiyonunu elde ediniz ve çiziniz.arrow_forward1. Suppose that (QxQ,+,.) is a ficld where (x, y) + (z, w) (x+ z,y + w) and (x,y). (z,w) (xz + 2yw, xw + yz). Then (1,2)arrow_forward7. Compute Tu, Tv and N(u, v) for the parameterized curve G(u, v) = · (u² − v², u + v, u — v) at the point u = 1, v = 4.arrow_forward
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