10FallHwk01

10FallHwk01 - Math 2413 Trig Equations Solve each of the...

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Math 2413 Homework Set 1 10 Points Trig Equations Solve each of the following. 1. ( ) 6si n 5 20 t -= on the interval [-1, 1.5] 2. ( ) 2 12co s 50 z += on the interval [0, 20] 3. ( ) 3co s 8 1 20 x on the interval [-8, 14] 4. ( ) 4 9si n 75 y on the interval [20, 50] Exponential and Logarithm Equations Solve each of the following. 5. 2 42 6 4 105 x + e 6. ( ) 1 0 21 2 45 3 10 x xx - + =+ e 7. ( ) ( ) l n 5 l n 62 - + Note that you’ll need the quadratic formula on this one and don’t get too excited about the “messy” numbers here. Rates of Change and Tangent Lines 8. An object is moving and we want to determine if it’s moving to the right (positive velocity), left (negative velocity), or not moving (zero velocity) at 0 t = . The position of the object is given by ( ) ( ) 2 l n 8 46 s t t tt = +-+ To answer this problem you’ll need to estimate the instantaneous velocity at 0 t = . Do this by computing the average velocity ( i.e. the average rate of change of the position function) between 0 t = and the following values of t . Use at least 7 decimal places for all computations. (a) -0.1 (b) -0.01 (c) -0.001 (d) -0.0001 (e) 0.1 (f) 0.01 (g) 0.001 (h) 0.0001 9. Find the tangent line to
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10FallHwk01 - Math 2413 Trig Equations Solve each of the...

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