10/30/15
Let D,E,F be the feet of the altitude from A,B,C in a triangle ABC.Prove that the perpendicular bisector of EF also bisect BC
good geometry
10/28/15
Show that any function of the form : y = A sinh mx + B cosh mx satisfies the differential equation y^n = ym^2.
(a) Show that any function of the form : y = A sinh mx + B cosh mx satisfies the differential equation yn = m2y.(b) Find y = y(x) such that yn = 9y, y(0) = -4, and y'(0) = 6.
I don't even know...
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10/28/15
A telephone line hangs between two poles 14 m apart....
A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 20cosh(x/20) - 15, where x and y are measured in meters.
(a) Find the slope of this curve where it meets the...
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10/27/15
Find the derivative of cosh^-1 * x^1/2. Simplify if possible
Find the derivative of xsinh-1 (x/3) - (9 + x2)1/2. Simplify if possible.
I know I need to apply the Product, Chain and Power Rules:
y'(x) sinh-1 (x/3) + y'(sinh-1(x/3) * y'(x/3))x -...
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09/15/15
Shell Method
Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis.
y=square root(x+12)
y=x
y=0
09/15/15
Disk Method
Use the disk method or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line.
y=x^2,
y=0,
x=3
A tank is made in the shape of a paraboloid formed by rotating the graph of x^2 about the y-axis from x = 0 to x = 2.
The tank is filled with a liquid whose density is 30 lb/ft3. Find the work done in pumping the liquid to a level of 15 ft above the top of the tank. a. 34295Π ft-lb
b. 3920Π ft-lb
...
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A solid has a flat base, which is bounded by the graph of y=x^3 and y=vx in the first quadrant only.
Each cross section of the solid perpendicular to the x-axis is the shape of a square.
Find the value of k on the interval (0, 1/2) such that the line x = k cuts off one third of the solid’s...
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A solid has a flat base, which is bounded by the graph of y=x^3 and y=vx in the first quadrant only.fo
Each cross section of the solid perpendicular to the x-axis is the shape of a square.
Find the volume of this solid.a. 5/14 b. 25/126 c. 5/12 d. 47/125
Find the value of k on the interval...
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08/13/15
How much work is needed in Excercise 15 to pump 4 ft of water out over the top (a) when the tank is full? (b) when the tank has 4ft of water in it?
Calculus Question I am confused on what the question is exatcly asking for.
03/29/15
Materials for cheapest container
A rectangular storage container with an open top has a volume of 10m^3. The length of the base is twice the width. Material for the base costs $10 per square meter. Material for the sides cost $6...
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02/28/15
How many liters of pure water should be mixed with a 19-L solution of 80% acid to produce a mixture that is 80% water
This is a linear equation involving a mixture. I am unsure how to solve
02/27/15
Log2(x-3)+Log2(x+2)=-4
Log2(x-3)+Log2(x+2)=-4
i have X2-X-6 = 1/16 but solve for X
Can someone walk me through the steps please?
02/26/15
i need help with word problems
1. the baseball diamond shown below is a square, 90 feet on a side. if the third baseman fields a ground ball 15 feet directly behind third base (along the line formed by home plate and third...
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Asymptotes of functions .Help me please!
The equation of the oblique asymptote is y=kx+b. I have a function f(x)=(x^2+4)/sqr(x^2-4). I get the b infinite. Am I right or not? I am stuck in this. And I dont know how to wirte the equation.
05/06/14
Write the equation of hyperbola in standard form whose vertices (3.12),(3.-16) and conjugate axis is 24 units long
I need help with this problem and also need steps
03/03/13
let R be the region bounded by the graph of f(x)=4-x^2 and the coordinated axes in quadrant I
1)sketch & label region R.
2) area of the region R using vertical slicing.
3) area of the region R using horizontal slicing.
4)volume of revolution using the indicated method when region...
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