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1. (a) Give an example of a function, f(x), that has an inflection point at (1, 4).
(b) Give an example of a function, g(x), that has a local maximum at ( -3, 3) and a local minimum at (3, -3).
(c) Plot f(x) and g(x) on the same graph being sure to label the inflection point(s) and local extrema.
Work : It is the last application of integral which we'll be looking at under this course. In this section we'll be looking at the amount of work which is done through a forc
a shopkeeper buys two cameras at the same price . he sells one camera at a profit of 18% and the other at a price of 10% less than the selling price of the first camera. find his p
If the ratios of the polynomial ax 3 +3bx 2 +3cx+d are in AP, Prove that 2b 3 -3abc+a 2 d=0 Ans: Let p(x) = ax 3 + 3bx 2 + 3cx + d and α , β , r are their three Z
Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2
Trapezoid Rule - Approximating Definite Integrals For this rule we will do similar set up as for the Midpoint Rule. We will break up the interval [a, b] into n subintervals of
Solve for x. 21x+6
2=42gf
"Working" definition of continuity A function is continuous in an interval if we can draw the graph from beginning point to finish point without ever once picking up our penci
What is a characteristic of operation
In the adjoining figure ABCD is a square with sides of length 6 units points P & Q are the mid points of the sides BC & CD respectively. If a point is selected at random from the i
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