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# 1330hw3 - a and b for which the function is continuous...

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MAT 1330, Fall 2011 Assignment 3 Due October 12 at the beginning of class. Late assignments will not be accepted; nor will unstapled assignments. Instructor (circle one): Robert Smith? Jason Levy Olga Vassilieva Catalin Rada DGD (circle one): 1 2 3 4 Student Name Student Number By signing below, you declare that this work was your own and that you have not copied from any other individual or other source. Signature Question 1. Consider the function f ( x ) = a sin( x ) + b if x 0 x 2 + a if 0 < x 1 b cos(2 πx ) + a if x > 1 . Find the values of

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Unformatted text preview: a and b for which the function is continuous everywhere. 1 Question 2. Use the deﬁnition of the derivative to show that for any x > d dx √ 3 x = 3 2 √ 3 x . 2 Question 3. Consider the function f ( x ) = (3 x 2 + 5) ( x + 1) . a) Determine the domain of f . b) Compute f ( x ). c) Find the critical points of f . 3 Question 4. Find the equation of the tangent to the curve f ( x ) = 3 x 4-8 x 3-6 at the point (2 ,f (2)). 4...
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1330hw3 - a and b for which the function is continuous...

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