In Problems 12–15, determine whether f is continuous at c

1. Linearize x³ + In x about x=3

1. A department store has found that its value of sales (z) depends on the number of advertisements in circulars (x) and in newspapers (y), given by z = 420x – 2x2 – 3xy - 5y2 + 640y + 1725. If the price per advertisement is RM1 in circulars and RM4 in newspapers, and the advertising budget is RM180, i) Write the Lagrangian function. ii) Find the number of advertisements in circulars and newspapers that will maximize sales subject to the budget constraint.

4. Find two possible non-linear functions and goh sinx- x² such that

-t dt 8.

In Problems 69–74, find the real zeros of f. If necessary, round to two decimal places.

The functions f1 (z), f2 (z) and f3 (z) defined in the following equations (being EC) are given. fi (z) = vz – 2 – Vz + 2 f2(z) = (z – 2)/ (z + 2) f3(z) = vz? – 4 ii. iii. a) z=1 at the point f1(1) = i - V3, f2(1) = i /V3 and f3 (1) = iV3 On the Riemann leaf calculate the value of f1 (-1), f2 (-1) and f3 (-1) in the leaf

1. If f(x) is a function such that f(1) = 2, f(n + 1) = (3f(n)+1)/3 for n = 1, 2, 3, ..., what is the value of f(100)?

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