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... more
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
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
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
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
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
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
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... more

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... more

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

03/17/16

Find the limit below.

Find the limit below.   limτ(x→3) (x^4−81)/(x−3)    

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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