807 Answered Questions for the topic Calculus 1
Calculus 1 Calculus
08/01/17
Consider the functon
Consider the function f(x)=(2/x^2)-(7/x^6). Let F(x) be the antiderivative of f(x) with F(1)=0.
Then F(x)=_____?
Calculus 1 Calculus
07/31/17
A particle is moving as given by the data below:
A particle is moving as given by the data below:
v(t)=2sin(t)-5cos(t); s(0)=0
s(t)=_____?
Calculus 1 Calculus
07/31/17
Find the particular antiderivative that satisfies the following conditions:
Find the particular antiderivative that satisfies the following conditions:
f''(x)=24x^3-6; f(0)=1; f'(0)=-3
f(x)=_____?
Calculus 1 Calculus
07/31/17
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2−x^2. What are the dimensions of such a rectangle with the greatest possible...
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Calculus 1 Calculus
07/31/17
A rancher wants to fence in an area of 3000000 square feet in a rectangular field
A rancher wants to fence in an area of 3000000 square feet in a rectangular field and then divide it in half with a fence down the middle, parallel to one side.
What is the shortest length of...
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Calculus 1 Calculus
07/31/17
find the largest possible volume of the box
If 1800 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box
Volume=?
Calculus 1 Calculus
07/27/17
Find the open intervals on which f is increasing and decreasing.
Let f(x)=(x-6)/(x+6). Find the open intervals on which f is increasing and decreasing. Then determine the x-coordinates of all relative maxima and minima.
1. f is increasing on the...
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Calculus 1 Calculus
07/27/17
Find the absolute maximum and minimum values of the function on each of the indicated intervals
Find the absolute maximum and minimum values of the function on each of the indicated intervals.
f(x)=x^4-6x^2-1
a) Interval [-3,-1]
Absolute maximum:_______
Absolute...
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Calculus 1
07/26/17
Differentiation
I have to make an open cylindrical out of 48 square feet of material. That is, this can will not have a top. What are the dimensions of the radius and height that will maximize the volume of the...
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Calculus 1
07/26/17
Differentiation application
f(x)=x^4-4x^3+4x^2+1
what is the maximum and minimum values of f(x) on the interval [-1,5]
i got x=1 local min. But I don't think that's correct, please help.
Calculus 1
07/26/17
Differentiation application
f(x)=x^4-4x^3+4x^2+1
what is the maximum and minimum of f(x) on the interval [-1,5]
Calculus 1
07/26/17
Differentiation application
analyze and sketch a graph of the following functions. Label any intercepts, relative extreme, points of inflection and asymptot.
f(x)=(x^2-1)(x^2-8)
Calculus 1
07/26/17
Differentiation application
a straight piece of wife is 28 cm. It is cut into two pieces. One pieces is bent into a square and the other is bent into a rectangle whose width is 3 times the height. What are the dimensions of...
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Calculus 1
07/26/17
Differentiation application
find the value c guaranteEd by the mean value theorem for f (x) =x^2+x+3 on the interval [-1,2]
Calculus 1
07/26/17
Calculus differentiation applications
I have to make an open cylindrical out of 48 square feet of material. That is, this can will not have a top. What are the dimensions of the radius and height that will maximize the volume of the...
more
Calculus 1 Calculus
07/25/17
Use a linear approximation to estimate the number
Use a linear approximation to estimate the number sqrt(9.05)
Calculus 1 Calculus
07/25/17
Gravel is being dumped from a conveyor
Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast...
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Calculus 1 Calculus
07/25/17
A particle is moving along the curve y=sqrt(x)
A particle is moving along the curve y=sqrt(x). As the particle passes through the point (4,2), it's x-coordinate increases at a rate of 3cm/s. How fast is the distance from the particle to the...
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Calculus Qustion
What is the derivative of 2xy-17=-3x2? Is it -y/x-3?
Calculus Question
Differentiate y = (2x+5)^3(6x-1)^5. Express your answer in factored form.
Calculus 1 Calculus
07/13/17
Evaluate the following limits
Evaluate the following limits.
a)
lim sqrt(7+7x^2)/(9+5x)=?
x->infinity
The corresponding horizontal asymptote has equation
y=?
b)
lim ...
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Calculus 1 Calculus
07/13/17
Use the definition of derivative to find the derivative of the function
Use the definition of derivative to find the derivative of the function
f(x)=sqrt(3+4x)
f'(x)=
Domain of f(x)=
Domain of f'(x)=
Calculus 1 Calculus
07/13/17
Find an equation of the line tangent to the graph of
Find an equation of the tangent line to the graph of
y=(-6x)/(1-8x)
at the point (0,0)
y=?
Calculus 1
07/10/17
Chow fast is the height changing when the volume of beer in the fermenter is 486?
A beer fermenter is in the shape of an inverted cone it is being filled at a rate of 40ft cube per min. The fermenter has a height of 100 ft and a radius at the top of 50 feet. This means the...
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