409 Answered Questions for the topic Calculus 2

Calculus 2 Limits

06/28/16

limit of logs and es
lim as x approaches infinity of ln (3)   lim as x approaches infinity of ln (3-4x)   lim as x approaches infinity of -1/5 (e ^ - 5x)   lim as x approaches infinity of -1/5 (e ^ -10)  
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Calculus 2 Integrals

06/28/16

integral of (x-2)^-3/2
integral of quantity x-2 raised to three halves     need help asap      thanks
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Calculus 2

06/26/16

selling computer and tablet
Pam owns an electronics store with storage capacity for 100 computer tablets. She currently has 80 computer tablets in inventory and determines that they are selling at a daily rate equal to 17% of... more
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Calculus 2

06/26/16

salt in a tank
A 200-gallon tank is currently half full of water that contains 30 pounds of salt. A solution containing 2 pounds of salt per gallon enters the tank at a rate of 6 gallons per minute, and the... more
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Calculus 2 Proof Wallis' Formula

06/22/16

Prove the following is true:
Prove that the indefinite integral from 0->pi/2 of cos^10(x) dx = 9/10 times the indefinite integral from 0->pi/2 of cos^8(x) dx   This problem showed up on one of the old exams and I fear... more
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Calculus 2

06/21/16

particular solution of the given differential equation
i need help solving this problem    Find the particular solution of the given differential equationdy/dx=−6xe^(y−x^2) ;y=12 when x=1.
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Calculus 2

06/21/16

separation of variables to find k and y(t)
I need help solving this problem:   A function y(t) is a solution ofdy/dt+t^(k)*y=0. Suppose that y(0)=1 and y(1)=e−5Find k and find y(t).   can anyone please help?
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06/18/16

L HOPITALS and derivative
ive got 3 questions   lim x approaches positive 1 (sq rt of x^2 - 1) / (arcsecx)   lim x approaches 0  2arctan3x^2 / 7x^2     initial value prob   dy/dx=1/(x^2+1) -1     I NEED HELP... more
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Calculus 2

06/14/16

Indefinite Integrals
Hi, could someone walk me through this problem?    Indefinite integral of [v + 1/((4v-7)^8)]
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06/10/16

Solve the differential equation xy' = y + xe^(9y/x) by making the change of variable v = y/x.
Solve the differential equation xy' = y + xe^(9y/x) by making the change of variable v = y/x.    Please help and show your work! Thanks in advance!
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Calculus 2

06/08/16

Shell Method
Consider the graph of y2 = x(4 − x)2. Find the volumes of the solids that are generated when the loop of this graph is revolved about each of the following: the x-axis, the y-axis, and the line... more
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Calculus 2

06/03/16

Hydrostatic Force of A Cylindrical Tank!!! PLEASE HELP! CALCULUS 2
A cylindrical tank with a diameter of 6m is placed so that the axis of the cylinder is horizontal. Find the fluid force on a circular end of the tank if the tank is half full. The density of water... more
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Calculus 2

05/28/16

CALC 2: Area of a Surface of Revolution (WEBASSIGN)?
Consider the following. x=y+y^3 from 0 to 4 (a) Set up an integral for the area of the surface obtained by rotating the curve about the x-axis and the y-axis. (i) the x-axis S=... more
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Calculus 2 Calculus Urgency

05/20/16

Find the expression for hydrostatic force on a square
Find the expression for hydrostatic force on a square as it rotated under the water with one vertex always on the surface of water. Break down the square in three parts and find the force as a... more
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Calculus 2

05/01/16

Solve the problem
The amount of alcohol in the bloodstream, A, declines at a rate proportional to the amount. That is, dA/dt = kA If k=-0.3 for a person, how long will it take for his alcohol concentration to... more
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Calculus 2

05/01/16

Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis
y=3x y=3 x=0
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Calculus 2

05/01/16

Find the area enclosed by the given curves
x=y x=y^2
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Calculus 2

05/01/16

Find the sum of the series.
∞ ∑ (-1)n (8/5n) n=1
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Calculus 2

05/01/16

Find a polar equation for the curve represented by the given Cartesian equation.
2x+3y=6   A) 2sinθ+3cosθ=6r B) r(2cosθ+3sinθ)=6 C) r(2sinθ+3cosθ)=6 D) 2cosθ+3sinθ=6r
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Calculus 2

05/01/16

Solve the separable differential equation.
dy/dx = 5x4e-y
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Calculus 2

05/01/16

Determine if the given function y=f(x) is a solution of the accompanying differential equation.
y=ex+4xex, y'-y=4ex
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05/01/16

Set up an intefral for the length of the curve.
y=3cos(x), 0≤x≤pi
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Calculus 2

04/30/16

Assist with answers and working out.
a) Show that 1/r(r+1) =1/r - 1/r+1   hence, show that (the sum from r=1 to n)  ∑ 1/r(r+!) = 1 - 1/n+1                           deduce that Sn the sum to infinity, if it exists.     b) The... more
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Calculus 2

04/29/16

help with this math question
A series has sum Sn =n(2n-1) i) find, in terms of n, the nth term of the series. ii) Hence, show that the series is an AP   c. Find an expression for the sum to infinity of the Geometric... more
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Calculus 2

04/23/16

the water from a fire hose follows a path described by y = 2.0+ 0.9x - 0.3x^2 (units are in meters).
 if v sub x is constant at 10 m/s find the resultant velocity at point (3.0,2.0) first question is what is the magnitude of the velocity?
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