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MATH 101 Webwork 1 Homework Questions and Answers PDF from 2020

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Course
MATH 101 (MATH101)

Institution
University Of British Columbia (UBC )

This is a pdf copy of the Webwork 1 assignment for MATH 101 at UBC with questions and answers. Note that the exact numbers in your question might differ but the answer key here will provide insight for you to tackle the problem nonetheless.

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Uploaded on May 25, 2020
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webwork 1 ubc
math 101 differential and integral calculus
riemann estimations webwork 1
webwork 1 questions and answers ubc pdf

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Nikita Sharma 2019W2 MATH 101 209
Assignment Homework 1 due 9/12/14 at 9pm

• 0.5*(6*1+31/4)
1. (1 point) • 3*1+2
(a) Estimate the area under the graph of f (x) = 3/x from • 0.5*(6*1+19/4)
x = 1 to x = 5 using four approximating rectangles and right • 3*1+11/4
endpoints. • 0.5*(6*1+47/8)
R4 = • E
(b) Repeat part (a) using left endpoints. 3. (1 point)
L4 = The speed of a runner increased during the first three seconds
(c) By looking at a sketch of the graph and the rectangles, of a race. Her speed at half-second intervals is given in the table.
determine for each estimate whether is overestimates, underes- Find the best possible lower and upper estimates for the distance
timates, or is the exact area. that she traveled during these three seconds. The answer to this
? 1. R4 problem requires that you enter the correct units.
? 2. L4
Correct Answers:
• 3*(1/2+1/3+1/4+1/5) t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0
• 3*(1+1/2+1/3+1/4)
v ( f t/s) 0 5.5 10.6 15.1 17.1 19.5 20.4
• U
• O

2. (1 point)
(a) Estimate the area under the graph of f (x) = 1 + x2 from Lower estimate =
x = −1 to x = 2 using three approximating rectangles and right Upper estimate =
Correct Answers:
endpoints.
R3 = • 33.9 ft
(b) Repeat part (a) using six approximating rectangles and • 44.1 ft
right endpoints. 4. (1 point)
R6 = A table of values of an increasing function f is shown. Use
(c) Repeat part (a) using three approximating rectangles and the table to find lower and upper estimates for 025 f (x) dx.
R
left endpoints.
L3 = x 0 5 10 15 20 25
(d) Repeat part (a) using six approximating rectangles and f (x) −42 −37 −25 −6 15 36
left endpoints. Lower estimate =
L6 = Upper estimate =
(e) Repeat part (a) using three approximating rectangles and Correct Answers:
midpoints.
• -475
M3 = • -85
(f) Repeat part (a) using six approximating rectangles and
midpoints. 5. (1 point)
M6 = The velocity graph of a car accelerating from rest to a speed
Based on sketches of the graph of f (x) and the approximat- of 120 km/h over a period of 30 seconds is shown. Use the Mid-
ing rectangles, which appears to be the best estimate? point Rule with n = 6 to estimate the distance (in km) traveled
• A. M3 during this period.
• B. L3 Distance traveled ≈ km
• C. L6
• D. R3
• E. M6
• F. R6
Correct Answers:
Correct Answers:
• 1/720*(31.25+66+88+103.5+113.75+119.25)
• 3*1+5
1

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