O was 1. Why do we get a dil Difference quotient: 0.6931712 differen This problem shows why radians used in calculus.) 67. The derivative of a functio line to the graph of f(x) a Ph tangent line to f(x) = x2 + x ction and this tangent line. 10 0.693147 In Problems 68-69, give an e 10-6 O.6931 us rate of change of the func I and at x = 2. What do It the concavity of the graph 10-8 68. A continuous function positive. 0.69 10-10 0 69. A linear function with 10-12 44. (a) Let f(x) = x2. Explain what Table 2.5 tells us f(x) = x at x = 2 Are the statements in Prob about f'(1). (b) Find f'(1) exactly. (c) If x changes by 0.1 near x 1, what does f'(1) tell us about how f(x) changes? Illustrate your answer use your calculator to con- for 0 x 2. From your "(1). explanation for your answ 2.3 THE DERIV our calculator to approxi- f change of f at the point x = x/4. (Note: Be sure dians.) with a sketch. In the Table 2.5 what a, in billions, can be ap- points Difference in successive x2 values X the f 0.998 0.996004 006)' the 0.001997 0.999 0.998001 ince the start of 2014. st was the population 0.001999 1.000 1.000000 Example 1 Est at the start of 2015? 1.001 1.002001 0.002001 S4Ll 10 people per year. 1.002 1.004004 0.002003 fo, accessed April 1, 2015 98443/ns/today//us-population-hits-million-mark/#.VsuG1hgVmV0, accessed February 201.
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.
Numbers
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.
Please answer number 44.


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