844 Answered Questions for the topic Calculus 1
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.
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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 of f(x) on the interval [-1,5]
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2
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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)
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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]
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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...
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2
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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)
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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 Question
Differentiate y = (2x+5)^3(6x-1)^5. Express your answer in factored form.
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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)=
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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=?
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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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Calculus 1
06/26/17
my question is in the description box, please help me with this problem
d/dx(u^5+u^3), where u=(3/v)-4v, and v =3-x^2, find dy/dx at x=2
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Calculus 1 Math
06/21/17
Yield per tree??????????????
The fruit tree yield per tree in an orchard containing 60 trees is 183pounds per tree each year. the yield decreasesby 2 pounds per tree for every additional tree planted. What is theyield per tree...
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06/08/17
For what value of the constant c is the function f continuous on (-infinity, infinity)?
f(x)= cx^2 + 2x if x < 3 and
x^3 - cx if x ≥ 3
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Calculus 1
05/28/17
Let f(x)=x^3-2x. Calculate the difference quotient f(3+h)-f(3)/h
h=.1
h=0.1
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Calculus 1
05/25/17
calculus help pleaseee
1. Let G(x)=1/x-11. Determine the composite function G◦G and its domain.(G◦G)(x)=???
2.Let f(x)=x^2-4 and g(x)=x^4 Simplify or evaluate the function g(f(u)).
The number of malaria parasites (p) in the blood h hours after a patient takes the medication is modelled by the function: p = 200 / [0.9 + 0.1e^(2h)]
The number of malaria parasites (p) in the blood h hours after a patient takes the medication is modelled by the function: p = 200 / [0.9 + 0.1e^(2h)] a. what is the initial number of parasites in...
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Calculus 1
05/24/17
stuck on an average velocity question
The position of an object moving along a line is given by the function s left parenthesis t right parenthesis equals negative 19 t squared plus 57 ts(t)=−19t2+57t. Find the average velocity of the...
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