MAT-1110 Midterm: MATH 1110 App State Fall2017 Test2
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Show your work! (a) use implicit di erentiation to nd dy dx given xy3 + x2 = 2. Or not enough info: (12 points) use newton"s method to approximate a solution of x5 = 2. Compute m (1) given the following information: x = 1 (b) let y = cot(x) + arcsin(x) + cosh(5x) + ln|x| + Find y . (c) let y = x3 cos(2x). Find d2y dx2 . (d) let f (x) = ln(cid:18) (x + 4)8e5x x (x2 + 11)7 (cid:19). You do not need to simplify your answers here. (a) let y = (x8 + tan(x) + 6x 2)111. Find y . (b) let y = sinh(cid:18) x2 + 3 x + e3x(cid:19). Find y . (c) let y = ln (sin(5x)). Find y . (d) let y = sin(x2) arctan(3x). Show your work! (a) use implicit di erentiation to nd dy dx given xy2 + x3 = 5.
