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 +... more
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... more
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= more
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... more

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... more
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... more
Calculus Math Physics Sat Math

03/28/25

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... more
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... more
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... more
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... more
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... more
Calculus

03/23/25

if f(x)=4x arccos(3x+3) - sqrt(11-4x^2), what is f'(x)

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... more
Calculus

03/08/25

any one know the integration of logx

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