APPM 1340 Midterm: appm1340fall2017exam1
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Fall 2017: [12 pts] in your bluebook, write t if the statement is true and write f if the statement is false. No justi cation required and no partial credit given. (a) if x is a any real number whose square equals c, then x always equals the square root of c. (b) sec csc . = tan (c) cos4 4x sin4 4x = cos 8x (d) let w, x, y, z represent positive quantities. Assume that all letters denote positive numbers: (cid:18) 2a . 1 + csc y cos y + cot y: the following problems are not related. (a) [4 pts] rationalize the numerator of x + 1 x. 1/2 + 4x1/2 + x3/2 completely, writing your nal answer without any fractional exponents. 3 , in quadrant iii, sin = 10. Recall that sin(u v) = sin u cos v cos u sin v. (e) [10 pts] consider the function f (x) = (x4 10x2 + 9) .
