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1. Find the area enclosed by the curve x = t^2 - 2t, y = sqrt(t) and the y-axis.
2. Find a Cartesian equation for the curve and identify it. r^2 cos 2θ = 1
3. Find a polar equation for the curve represented by the given Cartesian equation. x^2 + y^2 = 4cx
4. Find the exact length of the curve. x = 5 cos t - cos 5t, y = 5 sin t - sin 5t, 0 ≤ t ≤ π
5. Find the exact length of the curve. x = 7 + 3t^2, y = 6 + 2t^3, 0 ≤ t ≤ 4
Find the Fourier Transform of f(x) = e^((-x^2)/(2a^2). note: complete the square in the x term in the exponent and make the change of variable; y=x+(*a^2)*i*b.
A grain silo has a cylindrical shape. Its diameter is , and its height is . What is the volume of grain that can be stored in the silo?
construct appropriate probabilistic models.a machine produces two random numbers each from the set 1 2 3 4. let s be
Using standard partition Pn (0,1) where n greater or equal to 4 and deduce that f is intergrable on (0,1) and evaluate (intergral sign with 1 at top and 0 at bottom) of f
What is the probability of winning a lottery in which you must choose 4 numbers from the number 1 through 15.
What is the total volume of morphine that will be required to prime the surflo winged infusion set?
the monthly cost of driving a car depends on the number of miles driven. lynn found that in may it cost her 380 to
q1. write the standard for of the equation of the line with slope 1 and y-intercept 2.a. -x-y-20b. -xy20c. xy20d.
A rocket is launched from atop a 95-foot cliff with an initial velocity of 119 ft/s.
them were manufactured by Asian automobile companies. Find the 95% confidence interval for this city's population proportion of vehicles made by Asian companies
Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks: Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
How many companies closed down their pension plans in each of those three years?
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