Q1-5 Math-1125-Assignment xtm Course: ESST1006: Hurr x d resource/content/0/Math
ID: 3196812 • Letter: Q
Question
Q1-5
Math-1125-Assignment xtm Course: ESST1006: Hurr x d resource/content/0/Math 1125 Assignment 3pdt . In your responses you must show all working to obtain full marks. Section A: Multiple Choice Questions. Please note eacdh que st ion h as 4 options: (a), (b). (C) and (d) 1. Given r-t-int and'y-1-cost , then Icos t siit 2. Given sina-cos y-2-0, then (a) -cot r (b)-cosec y cos r (c) (d) 2 san a. A metal circular disk expands during heat ing. If its radius increases at a rate of 0.1 cms, how fast is the area of one of its faces increasing when its radius is 20 c (a) 0.4 2s-1 (b) 4 crn-s-1 (c) 40 crn2s-1 (d) 400 crn28-1 4. Which one of the following is true about the curve y +1? (a) (-1,-3) is a minimum turning point (b) (-1,-3)isat point of inflection (c) (-1, -3) is a maximum turning point (d) There are no stat ionary points (a) It has no stationary points (b) It has a local maximum at (0.0) (c) It's at a minimum at (0,0) (d) There's a point of inflection at (0,0) 5. Which one of the following is true about the curve y=5x3? 5 mks Please turn over Page 1 of 2Explanation / Answer
Solution1:
dy/dx=dy/dt/dx/dt
dy/dt=d/dt(1-cost)
=0+sint
dx/dt=d/dt(t-sint
=1-cost
therfore
dy/dx=dy/dt/dx/dt
=sint/1-cost
OPTIONA FROM GIVEN CHOICES
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