Water is being drained from a container which has the shape of an inverted right circular cone. The container has a radius of 5.00 inches at the top and a height of 9.00 inches. At the instant when the water in the container is 8.00 inches deep, the surface level.
Using Implicit differentiation, find the slope of the tangent
line to the curve x^2+2xy-y^3=3 at point (1,1).
Using the slope from the previous problem, find the equation in slope-intercept form of the tangent line to the curve x^2+2xy-y^3=3 at the point (1,1)..
Verify the divergence theorem by calculating both sides separately using F=r^2x, x=xi+yj+zk, r^2=x^2+y^2+z^2, and D = the ball radius a and center at the origin.
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Use the power series 1/1 + x = Sigma^infinity_n = 0 (-1)^n x^n to determine a power series, centered at 0, for the function. Identify the interval of convergence. F(x) = 6/(x + 1)^3 = d^2/dx^2 [3/x + 1] f(x) = Sigma^infinity_n = 0 -1 < x x < 1.
VA Homework 3, 1.3 x C Chegg.com x faculty frostburg.edu/matl x N Math words: Order of a Di X C fi www.webassign.net/web/Student/Assignment-Responses last?dep 11329522 7. 0/10 points I Previous Answers ZillDiffEQModAp10 1.3.013 My Notes Suppose water is leaking from a tank through a circular hole of area Ah at its.
Using Matlab, solve the following:
In thermodynamics, the Carnot efficiency is the maximum possible efficiency of a heat engine operating between two reservoirs at different temperatures. This efficiency, n, is defined as:
n = 1-Tc/Th
where Tc and Th are the.
using the willyweather website http://tides.willyweather.com.au/wa/perth/swan-river--causeway.html for the period spanning Wednesday 25/03/2015 to Saturday 28/03/2015. Using the data given in the website:
(i) Calculate (giving reasons) the amplitude and mean value from the tide values.
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Use the various rules of differentiation to find the derivative for each of the functions.
2. f(x)=3x
8. y= \(4/x^2 \)
20. f(x)=6x-(2/3)
30. f(x)=3x-(1/3) -2x-(1/2) +1
Use algebraic techniques to rewrite each function as.
Use the integrating factor method to find the general solution of the following differential equations.?
(a) 2y'-3y = 5
(b) y'+ 2ty = 5t
(c) ty'= 4y + t^4
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Use the graph of f shown to the right to find the limit. If necessary, state that the limit does not exist. lim f(x) x - > infinity Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
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Using laws of logarithms, write the expression below as a single logarithm.
Using laws of logarithms, write the expression below using sums and/or differences of logarithmic expressions which do not contain the logarithms of products, quotients, or powers.
Using Matlab
Create a function for finite difference calculations that accepts three inputs (defined function name for f(x), point to evaluate (x), and step size) and gives three estimates for the derivative at that point using the forward, backward, and centered finite difference method. Create an M-file.
Use the second derivative test to find all extreme of the function: f(x)= -x^4 +4x^3 +8x^2.
Answer is: Relative min (0,0). Relative Max (-1,3) and (4, 128). Please show work to justify!
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velocity and is a constant.
dv/dx= ?
2. If it requires the a distance of 2000 ft to slow the sled to 19 mi/hr, determine the value of , with units.
mu= ?
3. Find the time, ,.
Vehicles arrive at a freeway on-ramp meter at a constant rate of six per minute starting at 6:00A.M. Service begins at 6:00A.M. such that u(t)=2+0.5t, where u(t) is in veh/min and t is in minutes after 6:00A.M. What is the total delay and the maximum queue length?
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V, the volume of a sphere is increasing at the rate of 2 cm^3 per minute. How fast is S, the surface of the sphere increasing when r=8 cm.
hint: V= (4/3)(pi)r^3 , S= 4(pi)r^2
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Volume. A rectangular box with a square base is to be formed from a square piece of metal with 48-inch sides. If a square piece with side x is cut from each corner of the metal and the sides are folded up to form an open box, the volume of.
verify by hand that the given matrix function satisfies the given matrix differential equation
X'=[ 1 -1 ]
[ 2 4 ] X,
X(t)= [e^2t e^3t]
[-e^2t -2e^3t]
***Must verify by hand and show all.
verfity the divergence theorem in the following case by calculating both sides sperately: F = r^2x, x = xi + yj+ zk, r^2 = x^2 + y^2 + z^2, and D = the ball of radius a and certer at the origin
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use the shell method to set up and evaluate the integral that gives the volue of the solid generated by revolving around the plane region about the y-axis.
y = 14x-x^2, x= 0, y = 49
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Volume and radius. Suppose that air is being pumped into a spherical balloon at a rate of 16in.^3/min. At what rate is the radius of the balloon increasing when the radius is 5 in.?
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Use the washer method to find the voume of the solid generated when the region R bounded by y=5x, y=x, and y=15 is revolved about the y-axis.
The volume is ___.
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Verify \(\frac{\partial^{^{2}}f}{\partial y \partial x}=\frac{\partial^{^{2}}f}{\partial x \partial y} for f(x,y) = (x^2+y^{2})^{5}\)
Please show all steps
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Using the product rule find the derivatives of the following function; y=x2(x2 +1)5
So basically, i can do all the calculus part, which results in the answer
(x^2) * [10x (x^2 +1)^4] + (2x) (x^2 +1)^5
However, the actual answer is
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Use Theorem 4 from Section 10.1 to determine the limit of the sequence, or state that the sequence diverges by typing DNE (for "does not exist")
rn=ln(n+8)ln(n^(2)+1)
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