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The volume of a sphere of radius R is v(R)=4piR^3/3. If the radius is increased by delta(r), what is the increase in volume to the first order? Type in your answer using D in place of delta(r).
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.
The 150 grams of uncooked pasta was added and then weighed after a given period of time by lifting the pasta from the pot via a built-in strainer. The results (in terms of weight in grams) for two replicates of each type of pasta and cooking time ..
An apache helicopter of enemy is flying along the path given by y= x2 +7. Find the nearest distance from where a soldier placed at (3,7) can shoot down the helicopter.
what is the equadric formula for $1000.00 worth of stock with a 10% annual interest increase?
on friday, you drove 145 miles to stay at your grandmother's house. on sunday, you return home and calcuated that the round trip travel time was 5 hours. What was your average speed.
A random variable y has a Rayleigh distribution, if and only if its probability distribution is given by:f(y)=2(alpha)y^(-alpha y^2) , y>0 and alpha>0
A father and his son can clean the house together in 4 hours. When the son works alone, it takes him an hour longer to clean than it takes his dad alone. Find how long it takes the son to clean alone.
A ski chalet roof is isosceles triangle and has a vertical angle of 36 degrees. Width of base is 14 m. What is the slant height of roof?
Find the x-coordinate of the absolute maximum for the function f(x)=(3+9ln(x))/x x>0
In the Department of Education at UR University, student records suggest that the population of students spends an average of 5.10 hours per week playing organized sports. The population's standard deviation is 2.00 hours per week.
Three congruent circles with radius 5 are tangent to each other. The circles are enclosed in an equilateral triangle. What it the perimeter of the triangle?
a building 270 feet tall casts a 70 foot long shadow. if a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the persons eyes to the top of the building (assume 5 feet above ground)
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