GAMEMASTERX40

426 Questions
257 Answers

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Water is leaking out of an inverted conical tank at a rate of at the same time that water is being pumped into the tank at a constant rate.

Water is leaking out of an inverted conical tank at a rate of at the same time that water is being pumped into the tank at a constant rate. The tank has height and the diameter at the top is . If the water level is rising at a read more ..

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GAMEMASTERX40 Apr 4, 2022

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361

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A plane flying with a constant speed of 29 passes over a ground radar station at an altitude of 7 km and climbs at an angle of 40 degrees.

A plane flying with a constant speed of 29 passes over a ground radar station at an altitude of 7 km and climbs at an angle of 40 degrees. What is the distance between the radar station and the plane after 4 minutes? At what rate is the read more ..

GAMEMASTERX40 Apr 4, 2022

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753

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The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds.

The function describes the position of a particle moving along a coordinate line, where is in feet and is in seconds.

(a) Find the velocity and acceleration functions.
: 3t^2 read more ..

GAMEMASTERX40 Mar 30, 2022

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411

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Let y = (x + sin(x))^4. Find g(x) and f(x) so that y = (f o g)(x), and compute the derivative using the Chain Rule.

Let
Find and so that , and compute the derivative using the Chain Rule.

read more ..

GAMEMASTERX40 Mar 28, 2022

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793

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According to the alternate form of the definition of the derivative, to compute f'(0), we need to compute the left-hand limit

Let
According to the alternate form of the definition of the derivative, to compute , we need to compute the left-hand limit

?, which is ?,
read more ..

GAMEMASTERX40 Mar 9, 2022

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574

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The position (in thousands of feet) of a car driving along a straight road at time t in minutes is given by the function y = s(t)...

The position (in thousands of feet) of a car driving along a straight road at time in minutes is given by the function that is pictured below.
read more ..

GAMEMASTERX40 Mar 9, 2022

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343

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Consider the function y=g(x) = -x^{2}+7x+6.

Consider the function .

(a) Use the limit definition to compute a formula for .
y = ?

GAMEMASTERX40 Mar 9, 2022

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372

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Consider the following equation:

Consider the following equation:

Let
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GAMEMASTERX40 Feb 28, 2022

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388

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Let f(x) = x^2 - 2x.

Let
(A) Find the slope of the secant line joining and .
The slope of the secant line =
(B) Find the slope of the secant line joining and .
The slope of the secant line = <#> (C) Find the slope read more ..

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GAMEMASTERX40 Feb 25, 2022

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1019

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The limit below represents a derivative f'(a). Find f(x) and a.

The limit below represents a derivative . Find and .

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GAMEMASTERX40 Feb 24, 2022

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377

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Answer the questions based on the graph of y = f(x) shown above.

Answer the questions based on the graph of y = f(x) shown above.
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GAMEMASTERX40 Feb 23, 2022

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685

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Use the given graph of the function to find the x-values for which is discontinuous.

Use the given graph of the function to find the x-values for which is discontinuous.

Answer read more ..

GAMEMASTERX40 Feb 23, 2022

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337

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For what real numbers is the function not continuous? For which of those is the discontinuity removable?

Consider the function below. List the answers.

For what real numbers is the function not continuous? read more ..

GAMEMASTERX40 Feb 23, 2022

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352

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Consider the function below. List the answers.

Consider the function below. List the answers.

For what real numbers is the function not continuous? read more ..

GAMEMASTERX40 Feb 23, 2022

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659

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Consider the function f(x) = 5x^3 + 4x^2 + 7.

Consider the function . For what values of k does the Intermediate Value Theorem tell us that there is a c in the interval [0,1] such that f(c) = k?

? ?

GAMEMASTERX40 Feb 23, 2022

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Hey CPhill I found a mistake with your graph which threw me off so I fixed it here: https://www.desmos.com/calculator/tqvci9lcnt

As you can see you are graphing the function from x = -2 to x = 4 and your graph had the signs facing the wrong way. Maybe you can look it over and fix (b), (c), and (d) in the problem which I think affects it from the mistake.

GAMEMASTERX40Nov 22, 2019

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Hey, CPhill thanks for the help which I understand but you made a mistake in your work and skipped something in the problem. In your work, you solved for (d) but labeled it as (c) and you solved for (e) but labeled it as (d). So you skipped (c) in the original problem.

GAMEMASTERX40Nov 22, 2019

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Thank you very much CPhill this is just what I needed to complete my work. Very understandable too and I saw your helpful correction to figure out the answer to the problem.

GAMEMASTERX40Nov 13, 2019

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Yeah, can you finish it from there? This is supposed to be the last question on my work. I do know about the ratios but similar tringles always get me. Thanks!

GAMEMASTERX40Nov 12, 2019

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Ummm... I'm not quite sure. What I'm supposed to do from there? Maybe explain how to get where to aim at the wall?

GAMEMASTERX40Nov 12, 2019

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Alright, then I will try even though this doesn't make sense to me. Thanks for the help!

--7H3_5H4D0W

GAMEMASTERX40May 24, 2019

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6. A player chooses one of the numbers 1 through 4. After the choice has been made, two regular four-sided (tetrahedral) dice are rolled, with the sides of the dice numbered 1 through 4. If the number chosen appears on the bottom of exactly one die after it has been rolled, then the player wins 1 dollar. If the number chosen appears on the bottom of both of the dice, then the player wins 2 dollars. If the number chosen does not appear on the bottom of either of the dice, the player loses 1 dollar. What is the expected return to the player, in dollars, for one roll of the dice?

--7H3_5H4D0W

GAMEMASTERX40May 22, 2019

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Answer:

GAMEMASTERX40May 7, 2019