Consider the function f(x) = }x + 2 (shown below; grid lines are spaced one unit apart). (a) Calculate the shaded area using area formulas from geometry (show your work). (b) Calculate the shaded area using calculus. Write down the integral formula which will calculate the shaded area. We will calculate the integral in two different ways. i. Use the Riemann sum definition of the integral (i.e. the limit definition of the area under a curve): split the interval of integration into n parts, and divide the area into approximating rectangles... A. ..by using the right endpoint of each subinterval. Calculate the limit as n → 00. B. ...by using the left endpoint of each subinterval. Calculate the limit as n → 00.

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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.