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A moving body is opposed by a force per unit mass of value cx and resistance per unit mass value of bv^2 where x and v are the displacement and velocity of the particle at that instant. Determine the velocity of the particle in terms of x, if it starts from rest.
Bob draws a red pen and DOES NOT put it back before drawing a 2nd time. What is the probability of drawing a red pen on the SECOND drawing?
What is the elongation in the (2, 2, 1) direction? What is the change of angle between two perpendicular lines (in the undeformed state) in the directions (2, 2, 1) and (3, 0, 6)?
Solving linear programming problem.
A Norman window consists of a rectangle surmounted by a semicircle. What shape gives the most light for a given perimeter?
The Mendes family bought a new house 10 years ago for $120,000. The house is now worth $191,000. Assuming a steady rate of growth, what was the yearly rate of appreciation? Round your answer to the nearest tenth of a percent (1.2% etc)
A surveyor finds that a tree on the opposite bank of a river has a bearing of N 22 degrees 30'E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.
A person deposited $500 in a savings account that pays 5% annual interest that is compounded yearly. At the end of 10 years, how much money will be in the savings account?
an actor invests some money at 9%, and $27000 more than three times the amount at 10%. The total annual interest earned from the investment is $35850. How much did he invest at each amount?
Given A = a*p_hat + b*psi_hat + c*z_hat (cylindrical unit vectors), where a, b, and c are constants. Is A a constant vector (uniform vector field)? If not, find: the divergence and curl of A
let p(x) = 7- 3(x-4)+5(x-4)^2 - 2(x-4)^3 + 6(x-4)^4 be the fourth degree of polynomial for the function f about 4. Assume f has derivatives of all real orders.
a 0.151 kg baseball is pitched with a velocity of 43.1 m/s. ignoring air resistance what is the baseballs momentum after being pitched.
Air is pumped into a spherical balloon, so the balloon expands. The volume of a sphere of radius R is . If the radius of the sphere after t seconds is 2t centimeters, at what rate is air being pumped in when t=5?
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