25,270 Answered Questions for the topic calculus
Calculus
04/30/25
Calculus Problem: Rate of Change in Minecraft FPS
A Minecraft player notices improved game performance after installing OptiFine. Before using OptiFine, their frame rate (FPS) is modeled by the function:f(t)=60+10ln(t+1)f(t) = 60 + 10\ln(t +...
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Calculus
04/29/25
I need help with Calc 2 - Volume by slicing and revolution around axis.
04/26/25
Find equation of tangent line of the function f(x)= (x-7)/(x-1) at (3,-1)
Find the equation of the tangent line of the rational function, f(x)= (x-7)/(x-1) at the point (3,-1). Keep as point-slope form.
Calculus
04/25/25
How to display vertical tangent lines on Desmos?
Using sliders on Desmos it is possible to display tangent lines at a movable point on a function's graph. But if the tangent line is vertical, i.e. slope is undefined, the tangent line is not...
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Calculus
04/24/25
Set up, but do not evaluate, an integral for the length of the curve.
x = t + t2y = t2 ≤ t ≤ 3
Calculus
04/16/25
need to figure this out
Calculate the derivative ddx∫e8xx4ln(t)dtddx∫x4e8xlntdt using Part 2 of the Fundamental Theorem of Calculus. Enclose arguments of functions in parentheses. For example, sin(2x)sin2x. ddx∫e8xx4ln(t)dt=
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Calculus
04/13/25
local linerarization is equal to la (x)=2x-2 what is the value of a? what is the value of f(a)? Use the linearization to approximate the value of f(5.6)?
link to graph: https://webwork.utrgv.edu/wwtmp/Calculus_I_Pena/images/3dffd8ca-2b45-3f51-9432-1079aa714a3b___b2c3bc82-9722-3765-ae1c-e6a6da7ac10c.png
Calculus
04/09/25
How to change/cancel a session
Life happens and when I need to change the session or cancel, how can I do it besides contacting the tutor? What happens if the tutor doesn't respond before the scheduled session?
Calculus
04/06/25
Rate In and Rate Out (Absolute Extrema)
A tank has 25 liters of water in it at time t = 0 hours. Water begins to be pumped into the tank at time t = 0. A different pipe is draining water from the tank starting at t = 0.Water is being...
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03/29/25
Ordinary Differential Equations question
As the engineer in charge of the calibration software, you are to create the correct algorithm to analyzethe desk on which the printer is. Let us focus on some part of this. Assume the machine is...
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Calculus
03/28/25
Finding window dimensions
A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the exact dimensions (in ft) of a Norman window of maximum area if the total perimeter...
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Differential Equations problem
As the engineer in charge of the calibration software, you are to create the correct algorithm to analyzethe desk on which the printer is. Let us focus on some part of this. Assume the machine is...
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Calculus
03/28/25
Direct Comparison Test
Use the Direct Comparison Test to determine if each series converges or diverges.∑ (Infinity)(n=1) (√(n+4)/(n^4+4))Please step by step explain, as I am so confused!
Calculus
03/28/25
Limit Comparison Test
Use the Limit Comparison Test to determine if each series converges or diverges. Do not use the root test.∑(Infinity)(n=1) ((2n+3)/(5n+4))^n
Calculus
03/27/25
Direct Comparison Test
Use the Direct Comparison Test to determine if each series converges or diverges∑(Infinity)(n=1) (sqrt(n)+1)/(sqrt(n^2 +3))
Calculus
03/27/25
Direct Comparison Test
Use the Direct Comparison Test to determine if each series converges or diverges.∑ (Infinity)(n=1) (√(n+4)/(n^4+4))My book is showing that it compares to √5 ∑ (Infinity)(n=1) (1/n^(3/2)). I am...
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Calculus Python
03/25/25
Need help on a python questions
A certain ball has the property that each time it falls from a height h onto a hard, level surface, it rebounds to a height rh, where r= 4/5. suppose that the ball is dropped from an initial height...
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Calculus
03/25/25
Concavity with implicit differentiation
If (2,6) is a point on the solution curve of the differential equation y+xy'=5, determine the concavity of the solution curve at the point
Calculus
03/24/25
Applying the Integral Test
Use the Integral Test to determine if the series converge or diverge. Be sure to check that the conditions of the Integral Test are satisfied.∑(infinity) (n=1) (n/n^2 +4)I graphed this as f(x) and...
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Calculus Math
03/23/25
How to find the absolute maximum of f(x,y)=x^2+y^2 at which 0<=x,y and 5x+9y<=9
Everything is in the title, I don't really know how to start with this one :( I know the absolute minimum is (0,0) but don't know how to even begin with absolute maximum.Restating equation just in...
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Calculus
03/23/25
if f(x)=4x arccos(3x+3) - sqrt(11-4x^2), what is f'(x)
Calculus
03/19/25
Find the area under 𝑦=5sin(𝑥) and above 𝑦=5cos(𝑥) for 𝜋≤𝑥≤2𝜋. (Note that this area may not be defined over the entire interval.)
Calculus
03/12/25
Show that among all rectangles of constant perimeter p, the square has the maximum area. {Hint: an optimization problem}
Calculus
03/11/25
A rectangular storage container without a lid is being constructed to have a volume of 10m'. The length of its base is twice the width. The material for the base costs $10 per square meter.
A rectangular storage container without a lid is being constructed to have a volume of 10m'. The length of its base is twice the width. The material for the base costs $10 per square meter. The...
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Calculus
03/08/25
any one know the integration of logx
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