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Question Suppose that f(x) has (x - 2) 2 and (x + 1) as its only factors. Sketch the graph of f. State all the zeros of f.
Draw the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation. Solution: y′ = y - x To draw direct
find a30 given that the first few terms of an arithmetic sequence are given by 6,12,18...
The sum of areas of two squares is 468m 2 If the difference of their perimeters is 24cm, find the sides of the two squares. Ans: Let the side of the larger square be x .
An IVP or Initial Value Problem is a differential equation with an appropriate number of initial conditions. Illustration 3 : The subsequent is an IVP. 4x 2 y'' + 12y' +
Finds out the center & radius of each of the following circles & sketch the graph of the circle. a) x 2 + y 2 = 1 b) x 2 + ( y - 3) 2 = 4 Solution In all of these
Assume that i) Determine all the roots of f(x) = 0. ii) Determine the value of k that makes h continuous at x = 3. iii) Using the value of k found in (ii), sh
For the layman, a "function" indicates a relationship among objects. A function provides a model to describe a system. Economists refer to deman
Finding the Inverse of a Function : The procedure for finding the inverse of a function is a rather simple one although there are a couple of steps which can on occasion be somewh
Basic "computation" formulas : Next, let's take a quick look at some basic "computation" formulas that will let us to actually compute some derivatives. Formulas 1) If f
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