6 Unless otherwise specified, the domain of a function f is assumed to be the sel of which f (x) is a real number. Consider the differential equation = 10 -- 2y. Let y = f (x) be the particular solution to the differential equation with the initial condition f (0) = 2. XP (a) Write an equation for the line tangent to the graph of y = f (x) at z = 0. Use the tangent line to approximate f (0.5). (b) Find the value of at the point (0, 2). Is the graph of y = f (x) concave up or concave down at the point (0, 2) ? Give a reason for your answer. (c) Find y = f (x), the particular solution to the differential equation with the initial condition f (0) = 2. (d) For the particular solution y = f (x) found in part (c), find im f (a). ど48

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

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Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.