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A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1, and each Type B souvenir will result in a profit of $1.20. To manufacture a Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 3 hours available on Machine I and 5 hours available on Machine II.
The length l and width w .... are increasing at a rate of 4 ft/min while its height h is decreasing a rate of 8 ft/min. find the rate at which the surface area of the box is increasing when l=6, w=h=3 feet
Will this use compound interest? If not, how can I word the problem where the interest will compound?
Assume that the variable under consideration has a density curve. The area under the density curve that lies between 20 and 26 is 0.399. What percentage of all possible observations of the variable are either less than 20 or greater than 26?
A man slides down a ramp on a wheel chair. If the mass of the chair is 50kg, calculate the mass of the person sitting on the chair.
simple pendulum is related to the length L (in feet) of the pendulum by the formula 87t^2=(3.14)^2L. If a child is on a swing with a 10 foot chain, then how long does it take to complete on cycle on the swing?
Factor completely using the trial-and-error method.
Use Stokes' theorem to evaluate the integral of F around the curve consisting of the straight lines joining the points (1,0,1), (0,1,0) and (0,0,1). In particular, compute the unit normal vector and the curl of as well as the value of the integral
The resale value of a certain industrial machine decreases at a rate that depends on its age. When the machine is t years old, the rate at which its value is changing is -960e^ -t/5 dollars per year.
Estimate the relative error in the calculated surface area.
A van travels 240 miles on 12 gallons of gas. Write and solve a proportion to find how many gallons the van needs to travel 420 miles.
1. Consider R3with two orthonormal bases: the canonical basis e=(e1,e2,e3) and the basis f=(f1,f2,f3), where f1=(1,1,1)/(3^(1/2)) ,f2=(1,-2,1)/(6^(1/2)) ,f3=(1,0,-1)/(2^(1/2))
In fully developed laminar flow inside a circular pipe, the velocities at r = 0.5R (midway between the wall surface and the centerline) are measured.
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