25,270 Answered Questions for the topic calculus

Calculus Math Physics Sat Math

08/17/23

hello, i want to ask if i can apply to be a tutor if i'm lebanese
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Calculus

08/16/23

Find the derivative of the function
Find the derivative of the function y = arctanX + X/ 1+X2
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Calculus

08/16/23

Use logarithmic differentiation to find dy/dx
Use logarithmic differentiation to find dy/dxy = x√x2+1 note x > 0
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Calculus

08/16/23

Find an equation of the tangent line to the graph of the function at the given point
Find an equation of the tangent line to the graph of the function at the given point. y= 4-x2-ln(1/2x+1), point (0 , 4)
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Calculus

08/16/23

Find the indicated limit
2xlimx→∞ (¯¯¯¯¯¯¯¯) √x2 + 1
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Calculus

08/16/23

Find the first derivative given that,

Find the first derivative given that, f (x) = 5x √2x + 3
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Calculus

08/16/23

Find dy/dx by implicit differentiation. √x+y +√xy=4
Please show all work. Thank you!Find dy/dx by implicit differentiation. √x+y +√xy=4
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Calculus

08/16/23

Determine if Rolle’s Theorem can be applied. If Rolle’s Theorem can be applied, find all values of c in the interval such that

Please show as much work as possible. Thank you! Determine if Rolle’s Theorem can be applied. If Rolle’s Theorem can be applied, find all values of c in the interval such that f'(c) = 0, f (x) = (x... more
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Calculus

08/16/23

Locate the absolute extrema of the given function (if any exist) over the indicated interval.
Show as much work as possible. Thank you!Locate the absolute extrema of the given function (if any exist) over the indicated interval.f (x) = 3x2+6x-2a) [-1,4] b) [-1,4) c) (-1,4] d) (-1,4)
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Calculus

08/15/23

Calculus homework help
A solid has a base bounded by y= 9- x2 and the x-axis. Each cross-section perpendicular to the base in parallel to the x-axis is a rectangle of height 4. Find its volume.
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Calculus

08/15/23

calculus homework help
Find the length of the graph of (y+2)2 = (x-3)3 from the point (4, -1) to the point (7, 6). Check the integral calculation using at TI-83 or TI-84 calculator.
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Calculus

08/15/23

calculus homework help
Find the length of the curve y = x3/2 on the interval from interval from x = 0 to x =8. Check the interview calculation using a TI-83 or TI-84 calculator.
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Calculus

08/15/23

calculus homework help
Find d2y / dx2, where y2 - x3 = y
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Calculus

08/15/23

Calculus homework help
The mean volume theorem states that if f is continuous on [a,b] and differentiable on (a,b) then there is some number c £ (a,b) such that: f’ (c) = f(b) - f(a) / b-a for f(x)= 2x3 +7, find such... more
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Calculus

08/15/23

calculus homework

A particle moves along the x-axis search that it’s position at any time (t) is given by the equation x(t)= t2— 2t +9. Find the distance the particle moves from t= -3 to t=4
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Calculus

08/13/23

What does it mean when a questions asks me to sketch the graph of dy/dx against y, and then sketch the graph of dy/dx against x? How do I do this?
I was given a homework question that asks for me to sketch the graph of dy/dx against x and sketch the graph of dy/dx against y (we were only given dy/dx= 3y^2+9y). I don't understand what it means... more
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Calculus

08/12/23

How do you find a stationary (time independent) solution to a differential equation? What does it mean for a stationary solution to be stable or unstable and how do I know if it is stable or not?
The equation differential equation given was dy/dt= 3y^2-9y, which describes the evolution of the population, with no initial conditions. It asks to find any stationary (time independent) solutions... more
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Calculus

08/12/23

Please help with this
The volume of a cylinder of height 9 inches and radius rinches is given by the formula V=9πr2.Which is the correct expression... more
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Calculus

08/12/23

Please help with this
A rotating light is located 14 feet from a wall. The light completes one rotation every 2 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's... more
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Calculus

08/12/23

Please Help with this

Let xy=2 and dy/dt=4.Find dx/dt when x=5.
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Calculus

08/11/23

Can you help with this?
The volume of a cylinder of height 9 inches and radius rinches is given by the formula V=9πr2.Which is the correct expression... more
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Expert Answers •1
Calculus

08/11/23

I don’t understand how to do this
A rotating light is located 14 feet from a wall. The light completes one rotation every 2 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's... more
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Calculus

08/11/23

Find the indefinite integral and check the results by differentiation.
Find the indefinite integral and check the results by differentiation.∫(4x2+3)2dx
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Calculus

08/11/23

Find two positive numbers that satisfies the given requirements. The product is 147 and the sum of the first number plus three times the second number is a minimum.
Find two positive numbers that satisfies the given requirements. The product is 147 and the sum of the first number plus three times the second number is a minimum.
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Calculus

08/11/23

please help with this
A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 9 cm. (Note the... more
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