807 Answered Questions for the topic Calculus 1
Calculus 1 Optimization
04/18/16
Explain in paragraph form
show work and analysis
A cannon ball is fired upward with an initial velocity of 1000 yards per second from an initial height of 40 ft
A) find the height s(t) as a function of the time...
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Calculus 1
04/13/16
The question is in the description as it was too long
what are the dimensions that will minimize the amount of material needed to manufacture a standard oil drum that is in the shape of a cylinder, with closed top and bottom. the drum must have a...
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Calculus 1
04/12/16
Optimization Question! Please help calculus 1
Find the dimensions of the rectangle of maximum area that can be inscribed in a circle of radius r=21.
The rectangle of maximum area has dimensions:?
The picture is of a rectangle with a...
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Calculus 1
04/12/16
Optimization Calculus question! Please help!!
Sketch the first quadrant region bounded by the axes and the graph of g(x)= 9−x/2+x. Consider various rectangles: each with one corner at the origin, adjacent sides along the axes, and opposite...
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Calculus 1
04/12/16
Optimization CALCULUS 1
Brandon is on one side of a river that is 80 m wide and wants to reach a point 200 m downstream on the opposite side as quickly as possible by swimming diagonally across the river and then running...
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Calculus 1
04/10/16
Calculus Question 3
A baseball diamond is a square with side 90ft. A batter hits the ball and runs toward first base with a speed of 24 ft/s.
(a) At what rate is his distance from second base decreasing when he is...
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Calculus 1
04/09/16
Best estimate of the total volume of water used by the factory between 6 am and 9 am
A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The...
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Calculus 1
04/03/16
Calculus word problem
the wave of a tsunami above the sea floor can be modeled by H(t)= -27.3sin((PI/6)t) +12 feet where t is time in minutes since the tsunami struck. Find and interpret H'(6)
Calculus 1
04/03/16
why is the derivative of a composite function the product of two derivatives?
why is the derivative of a composite function the product of two derivatives? ? Don't need much detail, just explain in simplest form. Thanks.
Calculus 1
03/29/16
t=0 is x(t)= (3t^2-5t-2)(t-2)^2. Find the value of t
A particle starts at time t=0 and moves along the x-axis so that its position at any time t≥0 is x(t)= (3t^2-5t-2)(t-2)^2. Find the value of t when the acceleration is zero and the particle is moving
Calculus 1
03/24/16
Find an equation of the graph that passes through the point (7,9) and has the slope of y' = 8y/9x
I need help on this problem!
Calculus 1
03/24/16
Related rate question
Sand is falling off and piling in a conical shape at a rate of 5 ft3/s. The diameter of the pile is equal to the height of the pile. At what rate the height of the pile is changing when the height...
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03/18/16
Given the vectors below, carry out the operation.
Given the vectors below, carry out the operation.
u=(4, -2)
v=(-4, 6 )
2u+3v
03/18/16
Plot the curve below and describe the picture in words.
Plot the curve below and describe the picture in words.
r=3 sin4θ
03/18/16
What test would you use to determine whether the series below converges or diverges?
∑_(k=1)^∞ 1/k^(1+n) , n>0
03/18/16
Using the disk method, find the volume of the solid generated by revolving about the x-axis the area bounded by the curves below.
Using the disk method, find the volume of the solid generated by revolving about the x-axis the area bounded by the curves below.
x=0
y=0
y=−2x+2
03/18/16
Find the domain and the range of the function below.
Find the domain and the range of the function below.
g(y)=1/(y−2)
03/17/16
Find a) the angle between u and v, b) projv u and c) scalv u. Recall that a ? b = |a||b| cos ?.
Find a) the angle between u and v, b) projv u and c) scalv u. Recall that a ? b = |a||b| cos θ.
u=-3i+4k
v=-4i+j+5k
03/17/16
The Cosine function is a Taylor series. Expand the series to 4 terms and use the result to approximate Cos (2p). How does the approximation compare to the actua
The Cosine function is a Taylor series. Expand the series to 4 terms and use the result to approximate Cos (2π). How does the approximation compare to the actual result? What would you need to get...
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03/17/16
Using the disk method, find the volume of the solid generated by revolving about the x-axis the area bounded by the curves below.
Using the disk method, find the volume of the solid generated by revolving about the x-axis the area bounded by the curves below.
x=0
y=0
y=-2+2
03/15/16
Find the line integral below.
Find the line integral below.
∫_c^ ¦(x−y+2z)ds where C is the circle r(t)=(1, 3 cost, 3 sin t) for 0≤t<2pi.
03/15/16
Compute the curl of the vector field below.
Compute the curl of the vector field below.
F=(X^2-Z^2, 1, 2XZ)
03/15/16
Find the divergence of the vector field below.
Find the divergence of the vector field below.
f =(X^2 YZ, -XY^2 Z, -XYZ^2)
03/15/16
Find the gradient field of the potential function below.
Find the gradient field of the potential function below.
φ(x,y)=x^3+y+100
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