844 Answered Questions for the topic Calculus 1

04/21/16

Indefinite/Definite Integrals
I need help solving a couple of indefinite/definite integrals. It seems all of my homework problems have done the less complicated ones so I'm not sure how to do these ones:First problem:... more
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04/21/16

Indefinite Integral
I need help solving a couple of indefinite integrals. It seems all of my homework problems have done the less complicated ones so I'm not sure how to due these ones:   First problem: (integral... more
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04/21/16

Finding two part derivative/tangent line
So I'm supposed to graph the given function at the tangent line at the given point, which I know how to do with an explicit/one part function but not an implicit/two part function.The function... more
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Calculus 1

04/19/16

Can someone answer this
A cannon ball is fired upward with a n initial velocity  of 1000 yards per second from an initial height of 40 feet 1) find the height  s(t) as a function of time t. 2) find the height of the... more
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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... more
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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... more
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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... more
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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... more
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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... more
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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... more
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Calculus 1

04/10/16

A street light is mounted at the top of a 15ft-tall pole.
Please help me   A street light is mounted at the top of a 15ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 5 ft/s along a straight path. How fast is the tip of his shadow... more
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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... more
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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) 
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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.
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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
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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!
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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... more
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Calculus 1

03/22/16

-4(x-1) / (3x^2/3) is f' but how do I find f''? Please help
I don't know how to find the 2nd derivative
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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    
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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
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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
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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
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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)
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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
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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... more
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