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L-1{ s+1 / (s2+2s+s)2 }


(a) For the function f(x) =x^2/x^3+1

, find the slope of the tangent line at x = - 1. Hence,

write down the equations of the tangent line and the normal line. / (3+2+2)

(b) Using the first principle of differentiation, find the left hand and the right hand

derivatives of f at x = 0: f(x) ={2x+1 if x<0




Explain what problem solving cognitive level entails in relation to the skills to be demonstrated. Write down an example of unseen ;non routine problem. Illustrate how you would solve the problem?


In a survey of 232 professional athletes, it was found that 102 of them owned a convertible, 105 of them owned a giant screen TV, and 102 owned a sporting goods store. 19 owned a convertible and a store, 43 owned a TV and a store, and 56 owned a covertible and a TV. 13 owned all three items.
How many athletes did not own any of the three items?
How many owned a covertible and a TV, but not a store?
How many athletes owned a convertible or a TV?
How many athletes owned exactly one type of item in the survey?
How many athletes owned at least one type of item in the survey?
How many owned a TV or a store, but not a convertible?

L-1{ s+1 / (s2+2s+s)2 }


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