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Find a cubic function y=ax^3+bx^2+cx+d whose graph has horizontal tangents at the points (-2,6) and (2,0).
Calculate the mean, variance, and standard deviation of this distribution.
Evaluate an amount of gravel from the given ratio - How much gravel and sand should he add to make concrete?
Let f: [a,b] ----> R and suppose f is integrable with respect to alpha. Prove that for any c in the real numbers, cf is integrable with respect to alpha and the integral from a to b of cf d(alpha) = c times integral from a to b of f d(alpha).
What is your monthly mortgage payment? How much does your house cost per month including principal, interest, real estate taxes, and insurance?
A 25.5 foot ladder rests against the side of a house at . a point 24.1 feet above the ground. The foot of the ladder. is x feet from the house. Find the value of x to one decimal place.
Interpret the confidence interval in a single sentence
Provide label values for twin type
assuming that there is no damping and that the has is aced on by an external force of 2 cos3t lb, formulate the initial value problem describing the most ion of the mass.
A physician injects 5 mg of dye into a vein near the heart of a patient and by monitoring the concentration of dye in the blood over a 24-second period, determines that the concentration of dye leaving the heart after t seconds (o
Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 39 feet?
Profit for each big shelf is $85 and for each medium shelf is $75. What is the constraint on money to invest?
A farmer has 700 ft of fence with wich to fence a rectangular plot of land. The plot lies along a river so that only 3 sides need to be fenced. Estimate the largest area that can be fenced.
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