1. For each of the following functions i) f(x) = -2 x²(x² – 9), ii) g(x) = (x + 2)(x – 3) (x² – %3D 4). a) Find the domain. b) Find the degree. c) Find the zeros with multiplicity. d) Analyze the behavior near each zero.

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A: The graph of the function f on the interval [0,4] is as shown below.

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A: Consider, It is a geometric series with,

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A: Given that point=(-3, 2) and slope -6 Using the point-slope formula we get:  

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A: Given: The graph of function y = g(x), and n  = 4

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A:   it one root of the polynomial. We need to find the other root.

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A: Given, The region is bounded by the curve y = -x + 6 about x- axis.

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A: We first factor the denominator.   

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A: To differentiate the term 320  .

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A: log2 4/3 + log2 24 We need to calculate the value given expression.

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A: (a) The distance formula,

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.