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Compute the dot product for each of the subsequent equation
(a) v→ = 5i→ - 8j→ , w→ = i→ + 2j→
(b) a→ = (0, 3, -7) , b→ = (2, 3,1)
Solution
(a) v→ • w→ = 5 -16 = -11
(b) a→ • b→ = 0 + 9 = 2
Not much more to do with these other than use the formula.
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Evaluate following. (a) 625 3/4 Solution (a) 625 3/4 Again, let's employ both forms to calculate this one. 625 3/4 =( 625 1/4 ) 3 =(5) 3 = 12
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y'' + 2y = 2 - e-4t, y(0) = 1 use euler''s method with a step size of 0.2 to find and approximate values of y
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find the simple interest on Rs. 68,000 at 50/3 per annum for 9 month
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