Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = m/2. Use four approximating rectangles and right endpoints. Is your estimate an underestimate or an overestimate? Step 1 of 4 Rectangle areas are found by calculating height x width. The width of each rectangle equals Ax and the height of each rectangle. given by the function value at the right-hand side of the rectangle. So we must calculate R₁ = /W1 F(x, ) Ax= [(x₂) + f(x₂) + f(x3) + f(x₂a)] Ax, where x₁, x2. x3, x4 represent the right-hand endpoints of four equal sub-intervals of [0]. 8 Since we wish to estimate the area over the interval [0] using 4 rectangles of equal widths, then each rectangle will have width 4x =

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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5.1 q2

Part (a)
Estimate the area under the graph of f(x) = cos(x) from x = 0 to x= n/2. Use four approximating rectangles and right endpoints. Is your estimate an underestimate or an overestimate?
Step 1 of 4
Rectangle areas are found by calculating height x width.
The width of each rectangle equals Ax and the height of each rectangle is given by the function value at the right-hand side of the rectangle.
So we must calculate R₁ =
/=1
Since we wish to estimate the area over the interval
Step 2 of 4
We wish to find R4 = [F(x1) + f(x₂) + f(x3) + f(x4)]().
Since X1, X2, X3, X4 represent the right-hand endpoints of the four sub-intervals of
x1 = 0
X3 =
f(x₁) Ax = [(x₂) + f(x₂)+ f(x3) + f(xq)] Ax, where x₁, x2, X3 X4 represent the right-hand endpoints of four equal sub-intervals of
[0].
X4=
Step 3 of 4
Round your answer to four decimal places.
Step 1 of 4
overestimate
x
Step 4 of 4
Is your estimate an underestimate or an overestimate?
underestimate
R4 = [cos() + cos(#) + cos(3) + cos(() = 0.7907
using 4 rectangles of equal widths, then each rectangle will have width Ax=
i=1
[0]. then we must have the following.
0.7908
Part (b)
Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = π/2. Use four approximating rectangles and left endpoints. Is your estimate an underestimate or an overestimate?
Submit Skip(you cannot come back)
We must calculate L4= f(x-1) Ax= [f(xo) + f(x₁) + f(x₂) + f(x3)]AX, where xo, X₁,X₂, X3 represent the left-hand endpoints of four equal sub-intervals of
A
Since we wish to estimate the area over the interval [0, using 4 rectangles of equal widths, then each rectangle will have width Ax=
le 100
Transcribed Image Text:Part (a) Estimate the area under the graph of f(x) = cos(x) from x = 0 to x= n/2. Use four approximating rectangles and right endpoints. Is your estimate an underestimate or an overestimate? Step 1 of 4 Rectangle areas are found by calculating height x width. The width of each rectangle equals Ax and the height of each rectangle is given by the function value at the right-hand side of the rectangle. So we must calculate R₁ = /=1 Since we wish to estimate the area over the interval Step 2 of 4 We wish to find R4 = [F(x1) + f(x₂) + f(x3) + f(x4)](). Since X1, X2, X3, X4 represent the right-hand endpoints of the four sub-intervals of x1 = 0 X3 = f(x₁) Ax = [(x₂) + f(x₂)+ f(x3) + f(xq)] Ax, where x₁, x2, X3 X4 represent the right-hand endpoints of four equal sub-intervals of [0]. X4= Step 3 of 4 Round your answer to four decimal places. Step 1 of 4 overestimate x Step 4 of 4 Is your estimate an underestimate or an overestimate? underestimate R4 = [cos() + cos(#) + cos(3) + cos(() = 0.7907 using 4 rectangles of equal widths, then each rectangle will have width Ax= i=1 [0]. then we must have the following. 0.7908 Part (b) Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = π/2. Use four approximating rectangles and left endpoints. Is your estimate an underestimate or an overestimate? Submit Skip(you cannot come back) We must calculate L4= f(x-1) Ax= [f(xo) + f(x₁) + f(x₂) + f(x3)]AX, where xo, X₁,X₂, X3 represent the left-hand endpoints of four equal sub-intervals of A Since we wish to estimate the area over the interval [0, using 4 rectangles of equal widths, then each rectangle will have width Ax= le 100
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