ECON 134A Midterm: ECON 134A UCSB Test3x 2013Summer
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1 + sin2 x + sin4 x dx: find the following limits (25 points) (a) lim x 2 (b) lim x 0. |x 2| x2 4 ex 1 x (c) lim x 0 (cid:18) 1 x . Suppose h(x) = f (g(x) and k(x) = f (x)g(x). Find h (1) and k (1). (b) let y(x) be implicitly de ned by x = y + y3. 0 et2 dt: find the following integrals (20 points) + 3 sin x + 4x + (a) z (cid:18)x2 + (b) z (2x + 1)(x2 + x + 1)3 dx (c) z x cos x dx. 1. 11/10. (c) find the riemann sum r4 = f (ci) (xi xi 1) for z 8. Xi=1 partition points xi = 2i for i = 0, 1, 2, 3, 4 and the middle point rule: ci = 1. 2(xi 1 xi): plot curve (20 points)
