(c) Use only the e – 8 definition of continuous functions to directly prove f(x) = x² sin(x) is continuous at r = 0. Do not assume/use continuity of r? or sin(x).

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A: # the expressions are printed twice , taking them once given a=23 and b=45 The value of a+b is as…

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A: The amount of medicine m in the blood during a four hour treatment is given as

Q: Given f(x) = 3x²– 12 and g(x) = 2x + 1. Find g(f(x)).

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Q: find x, y € Z such that 2261x + 1275y = gcd(2261,1275).

A: we want to find the greatest common factor  we will use Euclid's algorithm 2261=1275×1+986 -----1)…

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Q: Solve x from: U = 1- (c-x)2/(c-a)(c-b)

A: Given expression is as follows

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A: We will manipulate the constrained inequalities to form the function f(x,y) and from that we will…

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Q: then A(-2u - 20) = -2 ---B 5 and Au 3 Au = 2 4

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Q: az Find for z = e2z-y.

A: Given : z = e2x - y

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.