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
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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I need help with how to solve these problems from this exercise. If you are not allowed to answer all of them, can you please help me solve 4c and 4d ?
Thank you so much
Transcribed Image Text: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
+
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