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B- Find the derivative of the following: (13 points) 1) y = (sin x + cos x) sec x 3x+tanx 2) y = 3) y
B- Find the derivative of the following: (13 points) 1) y = (sin x + cos x) sec x 3x+tanx 2) y = 3) y = * secx 2ex-x (4) A- Evaluate the following (Answer Two): (12 points) 1) f(t) = t & g(t) = vt - 1. Find the domains and ranges of (1, 9. f+g, and g) 2) If f(x) = x - 5 and g(x) = x2 + 3; Find the following: [g(f(x)), 9(g(x)), f(2)), g(9(-5)) 3) Give an equation for the shifted graph. Then sketch the original and shifted graphs together, labeling each graph with its equation. 1) y = -va; Right 6 II) y ==(x + 1) +5; Down 5 and right 1 y B- Find the derivative of the following: (13 points) 1) y = e* 6 +x="/) 2) g(n) = (n+1)(n+2) (n-1)(1-2) 3) y = sec(x cos x) Q5) A- Answer the following (Answer Two): (12 points) 1) Find the natural domain for the following: x + 6 f(x) = 8-VX-25 2) Find the equation of the line passing through the origin and the point of intersection of a = x + 2y = 2 & b2x - y = -6 3) f(a) = va + 1 & g(a) = ato & h(a) = ; Find (fogoh) = a B- Graph the following: (13 points) 1) y = -tan tx 2) y = cse (1)
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