25,270 Answered Questions for the topic calculus
Calculus Math
10/11/24
calculus logarithmic differentiation question help
Use logarithmic differentiation to find the derivative ofย ๐ฆ=(ln(7๐ฅ))^(ln(2๐ฅ)):
Calculus Math
10/11/24
Calculus homework question help please
Use logarithmic differentiation to find the derivative ofย ๐ฆ=(sin(4๐ฅ))^(1+3๐ฅ):๐ฆโฒ=ย
Calculus
10/11/24
Calculus 1 homework question
It is your friend's birthday tomorrow, and you are planning a surprise party for them. For this party, you got perfectly spherical balloons and you are filling these balloons with helium. The...
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Calculus Math
10/11/24
Calculus 1 homework question 2
Find the derivative of: ((x^2)^1/3โ2๐ฅ+11)/(๐^๐ฅโ๐ฅ^๐โ4)
Calculus
10/11/24
Calculus 1 homework question please help
๐(๐ฅ)=(2๐ฅ^3โ(3/๐ฅ)+5โxโ๐)(ln(2sin(๐ฅ)โ8cos(๐ฅ))) Find f'(x) I don't know how to use the derivative rules to find it
Calculus Math
10/10/24
Calculus homework question please help
Findย ๐๐ฆ๐๐ฅย for the following equations.(a) (7pts)ย 2+๐ฅ=sin(๐ฅ๐ฆ^2)(b) (8pts)ย ๐ฆ=๐ฅ^(cos3(๐ฅ))
Calculus
10/10/24
Calculus please help I am really really struggling
Question 1 (15 points)Findย ๐โฒ(๐ฅ)ย for the following functions. Do not simplify.(a) ย ๐(๐ฅ)=((2๐ฅ^3)โ(3/๐ฅ)+(5โx)โ๐)(ln(2sin(๐ฅ)โ8cos(๐ฅ)))(b) ๐(๐ฅ)=๐ฅ2โพโพโพโ3โ2๐ฅ+11๐๐ฅโ๐ฅ๐โ4(c) ๐(๐ฅ)=sin(sin(sin(๐ฅ)))
Calculus Math
10/10/24
Calculus homework question help urgently
Letย โ(๐ฅ)=๐(๐(๐ฅ)). If:๐(3)=โ9,ย ๐โฒ(35)=โ5,ย ๐โฒ(3)=2,ย ๐(3)=35, &ย ๐โฒ(3)=4,thenย โโฒ(3)=ย ย ย
Calculus Math
10/10/24
Calculus 1 question help urgently
Compute the derivative ofย ๐(๐ฅ)=sec(๐ฅโ8)+sec(2๐ฅ^5):Answer:ย ๐โฒ(๐ฅ)=ย
Calculus Math
10/10/24
Calculus 1 help urgently
Calculate the derivative of the function:Calculate the derivative of the function:๐(๐ฅ)=((๐ฅ^5โ4)/(๐ฅ+9))^โ4Answer:ย ๐โฒ(๐ฅ)=ย ย
Calculus
10/10/24
Strategy for Integration
Evaluate the integral. (Remember to use absolute values where appropriate. Remember the constant of integration.)xย sec(x) tan(x)ย dx
Calculus
10/10/24
Strategy for Integration
Evaluate the integral. โซ (from pi/2 to pi/4) (1+8cot(x))/(8-cot(x)) dx
Calculus
10/09/24
I need help with this because it is not working
Use integration by parts to evaluate the integral:โซ15 (ln(๐)) / (๐^4) ๐๐ย =ย ย Report your answer accurate to at least 6 decimal places.
Calculus
10/09/24
HELP ME PLEASE WITH THIS!
Evaluate the integralย โซ2๐๐ฅ/(5๐ฅ+10),by making the appropriate substitution:ย uย =ย 5x+10Correctย ย โซ2๐๐ฅ/(5๐ฅ+10)ย =ย ย ย ย + C
Calculus
10/09/24
use a linear approximation to estimate the number (125.07)^2/3
Calculus
10/09/24
How to Evaluate Limits at Infinity for Rational Functions in Calculus?
How do you find the limit of a function as it approaches infinity, specifically when dealing with indeterminate forms? For example, how would you solve \lim_{x \to \infty} \frac{3x^2 + 5x - 2}{2x^2...
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Calculus
10/08/24
Integration with partial fractions
Use the substitutionย tย = tanโ(x/2) to transform the integrand into a rational function ofย tย and then evaluate the integral.โซ (from 0 to pi/2) (8sin(2x))/(2+cos(x)) dx
Calculus
10/08/24
Integration with partial fractions
Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember the constant of integration.)โซ dx/(xโx-1)
Calculus
10/07/24
Evaluate integral
Evaluate the integral:ย โซ(5๐ฅ^8+7/๐ฅ^7+8/sqrt (๐ฅ^3))๐๐ฅbe sure to include
Rewriting the original integral into a form where you can apply the power rule
Applying the power rule
Rewriting the answer...
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Calculus
10/06/24
How do I solve this question using techniques from calculus?
Integrate sin(x)sin(3x)/x^2 from -infinity to infinity
Calculus
10/05/24
How to find the volume of V(slice)(x) of a cone and h(x) of the definite integral of a cone?
Consider a circular cone of radius 3 and height 5What is the Volume Vslice(x) of the representative slice?linear function f(x) = -3/5x + 3Radius of the slice r = 3 - 0.6x Volume of Vslice = ?What...
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Calculus
10/05/24
How to find the integral of a solid using disks or washer's method when rotating the region enclosed by y=1/x^5, y=0, x=3, x=7 about the line y=-5?
The volume of the solid obtained by rotating the region enclosed by y= 1/x5, y= 0, x= 3, x= 7 about the line y= -5.Find the integral (disks or washer's method) needed.V= โซ ... dxI know that a= 3...
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Calculus
10/03/24
Calculus Question
Biologists have noticed that the chirping of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 115 chirps per minute...
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Calculus
10/02/24
urgent! please help me to solve Find a polar equation for the curve represented by the given Cartesian equation.
Find a polar equation for the curve represented by the given Cartesian equation.y= โ 2x^ 2
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