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 ๐‘ฆ=(ln(7๐‘ฅ))^(ln(2๐‘ฅ)):
Calculus Math

10/11/24

Calculus homework question help please

Use logarithmic differentiation to find the derivative ofย ๐‘ฆ=(sin(4๐‘ฅ))^(1+3๐‘ฅ):๐‘ฆโ€ฒ=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... more
Calculus Math

10/11/24

Calculus 1 homework question 2

Find the derivative of: ((x^2)^1/3โˆ’2๐‘ฅ+11)/(๐‘’^๐‘ฅโˆ’๐‘ฅ^๐‘’โˆ’4)
Calculus

10/11/24

Calculus 1 homework question please help

๐‘“(๐‘ฅ)=(2๐‘ฅ^3โˆ’(3/๐‘ฅ)+5โˆšxโˆ’๐œ‹)(ln(2sin(๐‘ฅ)โˆ’8cos(๐‘ฅ))) Find f'(x) I don't know how to use the derivative rules to find it
Calculus

10/10/24

fdx=a(2x^2+1)(3x^3-7)x=-1

fdx=a(2x^2+1)(3x^3-7)x=-1
Calculus Math

10/10/24

Calculus homework question please help

Findย ๐‘‘๐‘ฆ๐‘‘๐‘ฅย for the following equations.(a) (7pts)ย 2+๐‘ฅ=sin(๐‘ฅ๐‘ฆ^2)(b) (8pts)ย ๐‘ฆ=๐‘ฅ^(cos3(๐‘ฅ))
Calculus

10/10/24

Calculus please help I am really really struggling

Question 1 (15 points)Findย ๐‘“โ€ฒ(๐‘ฅ)ย for the following functions. Do not simplify.(a) ย ๐‘“(๐‘ฅ)=((2๐‘ฅ^3)โˆ’(3/๐‘ฅ)+(5โˆšx)โˆ’๐œ‹)(ln(2sin(๐‘ฅ)โˆ’8cos(๐‘ฅ)))(b) ๐‘“(๐‘ฅ)=๐‘ฅ2โ€พโ€พโ€พโˆš3โˆ’2๐‘ฅ+11๐‘’๐‘ฅโˆ’๐‘ฅ๐‘’โˆ’4(c) ๐‘“(๐‘ฅ)=sin(sin(sin(๐‘ฅ)))
Calculus Math

10/10/24

Calculus homework question help urgently

Letย โ„Ž(๐‘ฅ)=๐‘“(๐‘”(๐‘ฅ)). If:๐‘“(3)=โˆ’9,ย ๐‘“โ€ฒ(35)=โˆ’5,ย ๐‘“โ€ฒ(3)=2,ย ๐‘”(3)=35, &ย ๐‘”โ€ฒ(3)=4,thenย โ„Žโ€ฒ(3)=ย ย ย 
Calculus Math

10/10/24

Calculus 1 question help urgently

Compute the derivative ofย ๐‘“(๐‘ฅ)=sec(๐‘ฅโˆ’8)+sec(2๐‘ฅ^5):Answer:ย ๐‘“โ€ฒ(๐‘ฅ)=ย 
Calculus Math

10/10/24

Calculus 1 help urgently

Calculate the derivative of the function:Calculate the derivative of the function:๐‘“(๐‘ฅ)=((๐‘ฅ^5โˆ’4)/(๐‘ฅ+9))^โˆ’4Answer:ย ๐‘“โ€ฒ(๐‘ฅ)=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. โˆซ (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:โˆซ15 (ln(๐‘Ÿ)) / (๐‘Ÿ^4) ๐‘‘๐‘Ÿย =ย ย Report your answer accurate to at least 6 decimal places.
Calculus

10/09/24

HELP ME PLEASE WITH THIS!

Evaluate the integralย โˆซ2๐‘‘๐‘ฅ/(5๐‘ฅ+10),by making the appropriate substitution:ย uย =ย 5x+10Correctย ย โˆซ2๐‘‘๐‘ฅ/(5๐‘ฅ+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... more
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.โˆซ (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.)โˆซ dx/(xโˆšx-1)
Calculus

10/07/24

Evaluate integral

Evaluate the integral:ย โˆซ(5๐‘ฅ^8+7/๐‘ฅ^7+8/sqrt (๐‘ฅ^3))๐‘‘๐‘ฅbe sure to include Rewriting the original integral into a form where you can apply the power rule Applying the power rule Rewriting the answer... more
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... more
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= โˆซ ... dxI know that a= 3... more
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... more
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= โˆ’ 2x^ 2

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