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Rates of Change
Page 7
Questions (482)
A 40-foot ladder is leaning against a house when its base starts to slide away. By the time the base is 32 feet from the house
2 answers
asked by
Johnny
797 views
Your Porsche's gas mileage (in miles per gallon) is given as a function M(x) of speed x in miles per hour. It is found that
M'(x)
1 answer
asked by
Beth
781 views
A conical tank has height 3 m and radius 2 m at the top. Water flows in at a rate of 1.4 \text{m}^3\text{/min}. How fast is the
2 answers
asked by
MEMO
740 views
Could someone help me with these questions, I don't know question c) and d)
Consider the function f(x) = (0.1x-1)(x+2)^2. a)
2 answers
asked by
Elli
771 views
find the average rate of change of the function f(x)=x^3+1 over the interval [-1,1]
2 answers
asked by
Anonymous
736 views
A baseball diamond is a square with side 90 ft. a batter hits the ball and runs toward first base with a speed of 24 ft/s.
(a) At
2 answers
asked by
Anonymous
703 views
Consider the illustration, which shows a rotating beam of light located 0.5 mile from a shoreline. The beam rotates at a rate of
6 answers
asked by
Tori
702 views
The length l of a rectangle is decrasing at a rate of 5 cm/sec while the width w is increasing at a rate of 2 cm/sec. When l =
1 answer
asked by
Avi
678 views
Determine the initial value and the rate of change in the following description. At a local festival, the entrance fee is $12
1 answer
asked by
BRU
93 views
A man 2 m tall is walking away from a lamppost which is 6m tall at a rate of 2 m/s. Find the rate of change of a)the tip of the
2 answers
asked by
calculus
670 views
Let f(x) = 3+4x-x^{3}. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all
2 answers
asked by
Anonymous
680 views
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.2 ft/s,
3 answers
asked by
Aiton
683 views
Determine the rate of change in the following description. In Ms. Katy’s math class, a homework assignment is worth 100
1 answer
asked by
Mujika
44 views
Estimate the instantaneous rate of change at the point indicated.
y(t) = sqrt(3t+1) t=1
2 answers
asked by
terra
664 views
A 25-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.18 ft/sec,
2 answers
asked by
Anonymous
659 views
A 13 foot ladder is leaning against a house when its base starts to slide away. By the time the base is 12 ft. from the house,
2 answers
asked by
angie
660 views
At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 19 knots and ship B is sailing north at 15
4 answers
asked by
Anonymous
654 views
Mario and luigi are comparing their daily caloric intake. each day luigi chooses 100-calorie snacks such as carrots while mario
1 answer
asked anonymously
124 views
how to tell if a graph has a constant rate of change
1 answer
asked by
. . .
26 views
A college student is looking at her monthly checking account records. On September 1, 2008, her checking account held a balance
4 answers
asked by
Beebee
661 views
A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 7 km and climbs at an
1 answer
asked by
Alexandra
640 views
A spider is descending vertically at a rate of 0.5 cm/sec. A lizard sits patiently on the ground at a spot 15 cm feet from the
2 answers
asked by
Jace
637 views
Mark is learning to snowboard. The club charges $10 per hour for snowboard lessons and $40 for the lift ticket and a snowboard
4 answers
asked by
briisa
643 views
A man 6 feet tall walks along a walkway which is 30 feet from a the base of a lamp which is 126 feet tall. The man walks at a
2 answers
asked by
WILI
643 views
A magic tank starts out 4 inches in length, 4 inches wide, and 12 inches deep. As the tank is filled, it magically expands
1 answer
asked by
John
628 views
A particle is moving along the curve y=4sqrt(4x+1) . As the particle passes through the point (2,12), its x-coordinate increases
2 answers
asked by
S.P
619 views
A baseball player hits a line drive to center field. As he rounds second base, he heads directly for third, running at 20
6 answers
asked by
stephen
625 views
A linear graph of the cost of broccoli in dollars per pound has the points (3,8.25) and (6,16.50) . What is the rate of change
1 answer
asked by
dee
49 views
Water is poured steadily into an empty container. If the volume of water in the
container after 5 seconds is 30 cm3 , find a) The
3 answers
asked by
Aaqib zaman
619 views
A particle is moving along the curve y= 2 \sqrt{4 x + 4}. As the particle passes through the point (3, 8), its x-coordinate
1 answer
asked by
Alessandra
593 views
which function has the greater rate of change?
x-axix: -1 | 0 | 1 | 2 | y-axis: 0 | 1 | 2 | 3 | the graph has a line and 3 dots
2 answers
asked by
Anonymous
596 views
what does it mean to be a constant rate of change
1 answer
asked by
BRU
21 views
Use the image to answer the question. %0D%0A%0D%0A%0D%0AThe graph shows the number of gallons in a wading pool that is being
4 answers
asked by
Latina baddie ✧
93 views
A linear graph of parking fees in dollars based on hours parked has the points (2,20) and (6,44) . How would you interpret the
1 answer
asked by
Mujika
61 views
A linear graph of the cost of broccoli in dollars per pound has the points (3,8.25)
and (6,16.50) . What is the rate of change in
1 answer
asked anonymously
77 views
Determine the rate of change in the following description in ms Katy’s math class a homework assignment is worth 100 points of
1 answer
asked anonymously
35 views
What is the rate of change of 4,15 and 8,30
1 answer
asked anonymously
11 views
A particle is moving along the curve y = 2 √{3 x + 7}. As the particle passes through the point (3, 8), its x-coordinate
2 answers
asked by
Jack
571 views
A light house is 1 km off shore. A marathoner is running along the shore. The search light on the light house is rotating at a
4 answers
asked by
samir
574 views
when the depth of liquid in a container is x cm, the volume of the liquid is x(x^2+25) cm^3. Liquid is added to the container at
5 answers
asked by
tasha
558 views
A particle is moving along the curve y = 2 √{3 x + 7}. As the particle passes through the point (3, 8), its x-coordinate
2 answers
asked by
Jack
584 views
A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base with a speed of 24 f/s.
At
2 answers
asked by
John
566 views
At a quarry, sand is filling off a conveyor onto a conical pile at a rate of 15 cubic feet per minute. The diameter of the base
2 answers
asked by
peter
567 views
1. A factory manufactures widgets. The rate of production of widgets after t weeks is (dx/dt) = 30(1-((20)/((t-20)^2)))
3 answers
asked by
anonymous
563 views
A linear graph of parking fees in dollars based on hours parked has the points (2,20) and (6,44) . How would you interpret the
1 answer
asked by
mimi
46 views
At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship B is sailing north at 15
2 answers
asked by
Anonymous
573 views
From a height of 3,000 feet, a falcon descends at a rate of 250 ft./sec. What is the rate of change in the falcon’s elevation,
1 answer
asked anonymously
52 views
Stock Speculation: In a classic paper on the theory of conflict, L.F. Richardson claimed that the proportion p of a population
3 answers
asked by
Wade Wilson
527 views
Suppose that the proportion P of voters who recognize a candidate's name t months after the start of the campaign is given by
2 answers
asked by
Adam Janky
529 views
The table below gives the cost per person to rent a fishing charter boat. Find the rate of change given that it is constant.
4 answers
asked by
Soldier of krieg
46 views
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