25,270 Answered Questions for the topic calculus

Calculus

03/04/24

Calculus 2 question
In a recent archaeological expedition, a scroll was discovered containing a description of a plan to build what appeared to be the tower babel. According to the manuscript, the tower was supposed... more
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Calculus Math

03/03/24

Solve the Trig Integral. ∫sin^2(x)cos^4(x) dx
Solve the Trig Integral. Show all steps. If possible can you attach a video going through the process step by step. ∫sin2(x)cos4(x) dx
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Calculus

03/03/24

Find the equation of the line tangent to the graph

Find the equation of the line tangent to the graph of f(x)=(ln x)^3 at x=2
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Calculus Math

03/03/24

Solve the Trig Integral. ∫sin^2(x)cos^4(x) dx
Solve the Trig Integral. Show all steps∫sin2(x)cos4(x) dx
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Calculus Math

03/03/24

Solve the Trig Integral ∫tan^3(x)sec^4(x) dx
Solve the Trig Integral. Show all steps.∫tan3(x)sec4(x) dx
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Calculus

03/02/24

Leave your answer in algebra form.
(1) What is the area below y=−x2+4 and above the x-axis?(2)The position of a particle is represented by f(t) = 4t3 – 3t + 15What is its instantaneous velocity at time t = 3?
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Calculus

03/02/24

At noon, ship A is 110 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 4:00 PM?
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Calculus

03/01/24

Find the dimensions of the box of maximum volume.
A rectangular box is to be made from a piece of cardboard 20 inches long and 8 inches wide by cutting out identical squares from the four corners and turning up the sidesFind the dimensions of the... more
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Calculus

03/01/24

What rent should the manager charge to maximize revenue?
The manager of a large apartment complex knows from experience that 90 units will be occupied if the rent is 448 dollars per month. A market survey suggests that, on the average, one additional... more
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Calculus

03/01/24

find the dimensions of the poster with the smallest area.
The top and bottom margins of a poster are 8 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 386 square centimeters, find the dimensions of the... more
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Calculus

03/01/24

A right circular cylinder is inscribed in a right circular cone with altitude 7 and radius of the base 6. What is the greatest possible volume of the cylinder?

A right circular cylinder is inscribed in a right circular cone with altitude 7 and radius of the base 6.What is the greatest possible volume of the cylinder? 
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Calculus

03/01/24

Complex Number Question
Solve for θ [such as in the polar form reiθ] in (cos(-2pi/9) + isin(-2pi/9))^3.
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Calculus Math

03/01/24

A cylindrical tank with radius 3 m is being filled with water at a rate of 2 m3/min. How fast is the height of the water increasing (in m/min)?
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Calculus Math

03/01/24

The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 80 mm? (Round your answer to two decimal places.)
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Calculus

03/01/24

At what exact point on the curve y = 6 + 2ex − 6x is the tangent line parallel to the line 6x − y = 7?
At what exact point on the curve y = 6 + 2ex − 6x is the tangent line parallel to the line 6x − y = 7?
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Calculus

03/01/24

Complex Number Question: Write the given number in the polar form reiθ, -−π<θ≤π.
Write the given number in the polar form reiθ, -−π<θ≤π.(6 - 6i)/(-sqrt(3) + i)
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Calculus

03/01/24

how do I book a session
I have a tutor lined up for 6 pm today, how do I confirm the session? How do I get an online mtg link etc?
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Calculus

03/01/24

Answer the following questions using the given equation

f(x) = x3/(х2-3) f’(x) = x4- 9х2/(x2-3)3 f"(x) = 6x(x2 + 9)/(x2 -3)3Answer the following:(a) What's the domain of the function f(x) ?(b) Find all horizontal and vertical asymptotes of f(x).(c) Find... more
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Calculus

03/01/24

Surface Area Integral Question
Find the area of the surface obtained by rotating the curve y = 1 +4x2 from x = 0 to x = 5 about the y-axis.
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Calculus

03/01/24

Calculus 2 question
In a recent archaeological expedition, a scroll was discovered containing a description of a plan to build what appeared to be the tower babel. According to the manuscript, the tower was supposed... more
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Calculus

03/01/24

find the limit of the series
[ln((n^3)+4) - ln((8n^3)+11n)]find the limit as n approaches infinty
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Calculus

03/01/24

Find dy/dx given the following functions
Given y=f(u) and u=g(x), find dy/dx if f'(g(x)g'(x) for the following functions. y=5√u, u= cos x
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Calculus

03/01/24

Find dy/dx for the following functions
Given y=f(u) and u=g(x), find dy/dx if f'(g(x)g'(x) for the following functions. y=sin u, u= 7x+3
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Calculus Math

03/01/24

Evaluate The Integral
First make a substitution and then use integration by parts to evaluate the integral. please show the step by step process. If possible please attach a video going through it. The final answer is 4/e. more
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Calculus

02/29/24

Calculus two question
In a recent archaeological expedition, a scroll was discovered containing a description of a plan to build what appeared to be the tower babel. According to the manuscript, the tower was supposed... more
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