836 Answered Questions for the topic Calculus 1
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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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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Calculus 1 Differential Equations
05/23/17
What's the general solution for this differential equation?
Dy/DX+3/x y=2x+5
Calculus 1
05/23/17
If the graph of f ′(x) has an x-intercept at x = c, which of the following must be true?
If the graph of f ′(x) has an x-intercept at x = c, which of the following must be true? The graph of f has a relative minimum or relative maximum at x = c. The graph of f has an inflection point...
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Calculus 1
05/22/17
A chef is going to use a mixture of two brands of Italian dressing.
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8% vinegar, and the second brand contains 13% vinegar. The chef wants to make 200 milliliters of a...
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Calculus 1
05/15/17
Related Rates
You are sitting on the ground 50 meters from a firework display and are currently watching a bottle rocket fly straight up into the sky at a rate of 40 m/s. How fast must you tilt your head up in...
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