25,270 Answered Questions for the topic calculus

Calculus

11/07/23

Radius of a sphere
The radius of a sphere is increasing at a rate of 3 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 Math Precalculus

11/07/23

Rewrite sin(tan^-1(u/sqrt(25-u^2))) as an algebraic expression in u.
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Calculus

11/07/23

Conveyor belt at a rate
Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast... more
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Calculus

11/06/23

Find the point on the line 7x+1y−2=0 which is closest to the point (−6,−6)
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Calculus

11/06/23

How do you do this?
Calculate the difference quotients for f(x)=6+2x−x^2/2 using h=0.1, 0.01, and 0.001. Use the results to approximate the slope of the tangent line to the graph of f(x) at the point (4,6). If... more
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Calculus

11/06/23

Some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. Suppose that one has a rule that
the sum of the length, width, and height of a y piece of luggage must be less than or equal to 210 cm. A passenger wants to take a box of the maximum allowable volume. If the length and width are... more
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11/06/23

Calculus help! :) (urgent)
A volcanic cone spews fine particles of rock which land in the surrounding area and cause the size of the cone to increase.(a) Suppose that a volcanologist takes measurements that show that when... more
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Calculus

11/05/23

Calculus Related Rates
Mario is driving his kart on a straight road towards the finish line of a race. However, due to a series of mishaps, Mario suddenly finds himself on a grassy field 1000 ft west of the road. the... more
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11/05/23

calculus urgent help!! i got the answers its wrong pleasse help with detail
A volcanic cone spews fine particles of rock which land in the surrounding area and cause the size of the cone to increase.(a) Suppose that a volcanologist takes measurements that show that when... more
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11/05/23

pleaseee help!!. Calculus!!!...
A large sphere of material is placed in a dissolving liquid.(a) When the radius is 1 m, it is observed to be changing at 7 cm/hour. At that instant, what is the rate at which the sphere's volume is... more
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11/05/23

calculus help!!
Consider the curve e^x^2 − y = y^7x + 8. Using logarithmic differentiation find dy/dx. Give the answer as a function of both x and y. dy/dx=
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11/05/23

calculusss help urgent
Write the first derivative of the given function.f(x) = x3/2ln(x)f'(x)= x^1/2 + ((3x^1/2)ln(x))/2this is correctFor which x-values does f(x) have horizontal tangents? (Enter your answers as a... more
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11/05/23

calculus helpp!!!!!
A volcanic cone spews fine particles of rock which land in the surrounding area and cause the size of the cone to increase.(a) Suppose that a volcanologist takes measurements that show that when... more
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Expert Answers •1

11/05/23

pleaseee help!!. Calculus!!!...

A large sphere of material is placed in a dissolving liquid.(a) When the radius is 1 m, it is observed to be changing at 7 cm/hour. At that instant, what is the rate at which the sphere's volume is... more
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Expert Answers •1

11/05/23

Calculusss Helppp!! Urgent..please help with this one!!!
Suppose that fluid is leaking from an overhead pipe and spreading in the shape of a circle on the ground. If the radius of the circle is increasing at a rate of 0.5 feet per minute, how fast is the... more
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11/05/23

Calculusss Helppp!! Urgent..please help with this one. i tried every method i know, keep getting it wrong. help out!!!
A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and car B is driving east along the second road. At a particular time... more
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Calculus Math

11/04/23

Calculus 1: f(x) = ln(2 + sin(x)), 0 ≤ x ≤ 2𝜋
f(x) = ln(2 + sin(x)), 0 ≤ x ≤ 2𝜋Find the interval(s) on which f is concave up. (Enter your answer using interval notation.)Find the interval(s) on which f is concave down. (Enter your answer using... more
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Calculus

11/03/23

I need help with this, the topic is tripple integrals

Find the volume of the solid that lies within the sphere x^2+y^2+z^2=49 above the xy plane and outside the cone z= 3sqrt(x^2+y^2)
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Calculus

11/03/23

Evaluate the integral, and show all steps. Could someone please help me with this integral please? Thanks!
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Calculus

11/03/23

Evaluate the integral, and show all steps. Could someone please help me with this integral please? Thanks!
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Calculus

11/03/23

Evaluate the integral, and show all steps. Could someone please help me with this integral please? Thanks!
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Calculus

11/03/23

Evaluate the integral, and show all steps. Could someone please help me with this integral please? Thanks!
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Calculus

11/03/23

Evaluate the integral, show all steps. Could I get help with this tricky integral please? Thanks!
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Calculus

11/03/23

the two polar cruves r=1 and r=theta^1/2. Find the area between 0 and their first intersection point
when graphed the root theta is a loop like a lolipop and the 1 is just a circle. What is the area between. I would set the integral bounds from 0 to the first intersection point, but that... more
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Calculus

11/03/23

Finding increase in emergency room patients with rate measure.
Hospital officials estimate that approximately 𝑁(𝑝)=𝑝2+5𝑝+900 people will seek treatment in an emergency room each year if the population of the community is 𝑝 thousand. The population is currently... more
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