4. Let's examine a new function. Estimate the area under the curve f(x) = −4x² + 16x + 3 between x = 0 and x = 3 using a right-hand sum. a. If we use 6 rectangles, what is the width Ax? b. The height of each rectangle is given by the right-hand endpoint because this is a right-hand sum. Draw the 6 Riemann rectangles for the right-hand sum. SHADE INSIDE EACH RECTANGLE. ГУ 16 12 8 .5 1.0 1.5 2.0 2.5 c. Estimate the area under the curve using the 6 Riemann rectangles. We'll call this R6, the right-hand sum using 6 rectangles. (Show your set-up and then put your final answer in the second blank.) R6 = d. Estimate the area under the same curve, f(x) = −4x² + 16x + 3, between x = 0 and x = 3 using a left-hand sum. Draw 6 rectangles (each with the same width as in part (b) with the height of each rectangle given by the left-hand endpoint. SHADE INSIDE EACH RECTANGLE. 8 L6 5 1.0 1.5 2.0 2.5 +

4. Let's examine a new function. Estimate the area under the curve f(x) = −4x² + 16x + 3 between x = 0 and x = 3 using a right-hand sum. a. If we use 6 rectangles, what is the width Ax? b. The height of each rectangle is given by the right-hand endpoint because this is a right-hand sum. Draw the 6 Riemann rectangles for the right-hand sum. SHADE INSIDE EACH RECTANGLE. ГУ 16 12 8 .5 1.0 1.5 2.0 2.5 c. Estimate the area under the curve using the 6 Riemann rectangles. We'll call this R6, the right-hand sum using 6 rectangles. (Show your set-up and then put your final answer in the second blank.) R6 = d. Estimate the area under the same curve, f(x) = −4x² + 16x + 3, between x = 0 and x = 3 using a left-hand sum. Draw 6 rectangles (each with the same width as in part (b) with the height of each rectangle given by the left-hand endpoint. SHADE INSIDE EACH RECTANGLE. 8 L6 5 1.0 1.5 2.0 2.5 +

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.3: Trigonometric Functions Of Real Numbers

Problem 67E

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