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COMSATS Institute of Information Technology

(V-Campus) Islamabad



Subject : Calculus and Analytic Geometry                            Assignment #1

Course code:MTH104                                                           Total marks:50    

Attempt all questions


Q.1    Find formula for , and state the domain of the compositions.                                                        (5)

Q.2    Find a formula for


Q.3    Solve for x without using calculating utility.


Q.4    Sketch the curve by eliminating the parameter, and indicate the direction of increasing t.



Q.5    Let



Q.6    Find the limits.


Q.7    Evaluate.


Q.8    Find the values of x at which f is not continuous.


Q.9    Find values of the constants k and m, if possible, that will make the function f continuous everywhere.


Q.10  Find the equation of tangent line to the graph of



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