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An initial amount of a radioactive substance y0 is given, along with information about the amount remaining after a given time t in appropriate units. For an equation of the form y = y0ekt that models the situation, give the exact value of k in terms of natural logarithms: y0 = 2.56 lb; After 2 yr, 0.64 lb remains.
Let f (x) = (1 + c )α . with α ∈ R. You should not assume that alpha is an integer. Find the Maclaurin series Mα(x) for f(x). Use the ratio test to find the radius of convergence of this series.
Suppose the quantity demanded weekly of the Super Titan radial tires is related to its unit price by the equation p+x2=196 where p is measured in dollars and x is measured in units of a thousand. How fast is the quantity demanded weekly changing when..
Determine the probability when standard deviation and mean is given by using normal distribution - Show the entire calculation
Add-on software B takes the programmer 10 hours, the graphic artist 4 hours, and the mathematician 2 hours.
Write equations for Bob and Frank's holdings. Use the variables X and Y to represent the values of shares of Company X and Company Y.
Write a system of equations in x and y describing the situation. Then solve. Sonia invested a total of $12,000 into two accounts paying 7.5% and 6% simple interest. If her total return at the end of the first year was $840, how much did she invest..
Operations Research: Duals Q. Write the dual of this problem, sketch the feasible region of the dual, and find the dual solution graphically
A person bounces up and down on a trampoline, while always staying in contact with it. The motion is simple harmonic motion, and it takes 1.98 s to complete one cycle. The height of each bounce above the equilibrium position is 54.0 cm.
Use your result from part (b) to determine all of the points at which the graph of x = y5 - 5y3 + 4y has a vertical tangent line. Use implicit differentiation to find a formula for dy/dx.
Prove the given Φ is either a trival homomorphism or 1- 1.
A baseball team plays in a stadium that holds 59000 spectators. With ticket prices at $10, the average attendance had been 5000. When ticket prices were lowered to $8, the average attendance rose to 15000.
Let V be a finite-dimensional real (i.e. F = R) vector space. Let T be an element of L(V)(set of operators on V), and assume that T^2 = 0.
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