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Sol#8 - MATH 171-10c Assignment 8 Guidelines_V Begin'by...

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Unformatted text preview: MATH 171-10c, Assignment 8 Guidelines ,_ _V _ Begin 'by answering the questions in the space provided; you may write on bOth sides of the paper. Additional sheets may be attached if necessary. Staple all sheets together before submission. Put down the names of all group members in the'top right Corner. Write neatly and legibly; untidy presentation may lead to appropriate penalization, ' Due: Friday, March 26th ‘ . (10 marks) An equilateral triangle is expandinglin such a way that it remains equilateral at every instant. Given that the area of the triangle is increasing at 9 square centimetres per second, determine the rate at which the side of the triangle is increasing; when the height of the triangle is 6 centimetres. . (10 marks) Question 16 on page 219 in the text. . (10 tam) Suppose that -' f is a function, and that it is twice differentiable’at a point a. Let P(:r) = A332 + Ba: + C be a quadratic polynomial-satisfying the following three conditions: Pm) =f(a); P701) '=f'<a); P”(a) =f”(a)~ Show that P is the quadratic approximation to f around w = a;. » - .L. 21k 4M +£'<«5(X'=w-o~).+ £90....f =5 Q¥<°st)._ Wu WWWV MW;W-Mww.m‘. " * ...
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